651 + Interview Questions in GEOMETRY IN GENERAL AWARENESS Page 9 InterviewSolution

401.	MN and PS are two equal chords of a circle drawn on either side of centre O of the circle . Both the chords are produced to meet at point A. If the radius of the circle is 10cm. `MN=12 `cm and OA `=17` cm , then find NA.
Answer» Correct Answer - 9 cm

Discussion

402.	PS is the chord of the circle with centre O. A perpendicular is drawn from centre O of the circle to chord PS at M. If `bar(PS) =30 cm` and `bar(OM) =8 cm`, then find the radius of the circle.
Answer» Correct Answer - 17 cm

Discussion

403.	The radius of a circle is 10cm. The length of a chord is 12 cm. Then the distance of the chord from the centre is `"__________________"`.
Answer» Correct Answer - 8 cm

Discussion

404.	In `Delta ABC, /_ A= /_C= 50^(@)`. The longest side of `Delta ABC `is `__________________`.
Answer» Correct Answer - AC

Discussion

405.	In `Delta ABC`, if `/_ A lt /_B lt 45^(@)`, then ABC is a`//` an `"__________________"` triangle.
Answer» Correct Answer - Obtuse angles

Discussion

406.	Number of circles that pass through three collinear poitns is ____________.
Answer» Correct Answer - Zero N/A

Discussion

407.	If two equal chords bisect each other, then the point of intersection of the chords coincides with their centre. [True `//` False]
Answer» Correct Answer - 1

Discussion

408.	In the following figure, `AD=DB` and `DE\|\|BC`. Then `AE=EC` (True/ False)
Answer» Correct Answer - True N/A

Discussion

409.	The ratio of corresponding sides of two similar triangles is `2:3`, then the ratio of the perimeters of two triangles is `4:9` (True/False).
Answer» Correct Answer - False N/A

Discussion

410.	If the diagonals of a cyclic quadrilateral intersect at the centre of a circle , then the quadrilateral is `"_______________"`.
Answer» Correct Answer - Rectangle

Discussion

411.	In the above figure, ABCD is a cyclic quadrilateral and `/_BCD =2 /_ BAD`. Find the angle made by the diagonal BD at the centre of the circle.A. `60^(@)`B. `80^(@)`C. `100^(@)`D. `120^(@)`
Answer» Correct Answer - D (i) Opposite angles of a cyclic quadrilateral are supplementary (ii) In a cyclic quadrilateral ABCD, opposite angles are supplementary. (iii) Angle made by arc BD at centre `=2 /_ BAD`.

Discussion

412.	In the above diagram (not to scale), `AB=AC=`. O is the centre of the circle. If `/_ ABC =80^(@)`, then `/_ BOC =`A. `20^(@)`B. `40^(@)`C. `60^(@)`D. `80^(@)`
Answer» Correct Answer - b (i) Angle subtended by a chord at the centre of a circle is twice the angle subtended by it at any point on he circumference in the same segment in which the centre lies. (ii) ABC is an isosceles triangle, `i.e., /_ ABC= /_ BCA`, using this find `/_BAC`. (iii) Then use the property that angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the remaining part of the circle.

Discussion

413.	If G is the centroid of `Delta ABC`, then the area of `Delta BGC` is `"_______________"` times the area of quadrilateral ABCG.
Answer» Correct Answer - 0.5

Discussion

414.	In `Delta ABC`, if `/_A=80^(@)` and `AB=AC`, then `/_ B = ___________________`.
Answer» Correct Answer - `50^(@)`

Discussion

415.	ABCD is a quadrilateral in which `/_A= 60^(@), /_ B= 70^(@), /_ C =110^(@)` and `/_ D =120^(@)`. The number of pairs of parallel lines is `"________________"`.
Answer» Correct Answer - One

Discussion

416.	In the figure above (not to scale), `AB=CD` and `/_A =100^(@)`. `/_ C =`A. `100^(@)`B. `120^(@)`C. `80^(@)`D. `40^(@)`
Answer» Correct Answer - a (I)Adjacent angles of a cyclic quadrilateral must be equal if two of its opposite sides are equal. (ii) ABCD is a cyclic quadrilateral. (iii) Opposite angles of a cyclic quadrialteral are equal if their opposite sides are equal, use this to find the required angle.

Discussion

417.	In a triangle ABC, if `/_ A gt /_ B gt /_C` and the measures of `/_A , /_B ` and `/_ C` in degrees are integers, then the least possible value of `/_ A` isA. `70^(@)`B. `65^(@)`C. `60^(@)`D. `61^(@)`
Answer» Correct Answer - d (i) Take the anlges A,B and C as `x+2,+1` and x. (ii) Use, `A+B+C=180^(@)` ,as sum of angles of triangle` =180^(@)`, and solve for A.

Discussion

418.	What is the number of lines of symmetry for a parallelogram ?A. 2B. 4C. 0D. 6
Answer» Correct Answer - c Draw a parallelogram and draw the lines of symmetry.

Discussion

419.	In the figure below, `bar(BC)\|\| bar(EF),BC=EF ` and `DF =AC`. Which of the following congurency axiom(s) is`//` are suitable to prove that `Delta BCA =Delta EFD` ?
Answer» Correct Answer - D (i) `/_ EFD` and `/_ ACB` , are alternate angles, so they are equal. (ii) Given `DF=AC` and `EF=BC`. (iii) Conclude which congruency property is applicable.

Discussion

420.	In the above figure (not to scale), E and F are the mid points of AB and CD respectively. `bar(AB) \| \|bar(CD),bar(BC)\|\|bar(AD),/_ADE =70^(@)`, AND `/_BCE =40^(@), /_DEC` isA. `70^(@)`B. `40^(@)`C. `110^(@)`D. `120^(@)`
Answer» Correct Answer - c (i) Join E and F . Alternate angles are equal. (ii) Draw a line parallel to `bar(AD)` and `bar (BC)` through E and F. (iii) Find angles CEF and DEF using alternate angles property . (iv) The sum of above is `/_ DEC`.

Discussion

421.	If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is(A) 5½ (B) 7½ (c) 2/11 (D) 2/15
Answer» (B) 7½ We know that, bicycle wheel is in circular shape. So, total angle of wheel is 360^o. From the question it is given that bicycle wheel has 48 spokes. Then, the angle between a pair of two consecutive spokes is = 360^o/48 = 7.5 = 7½

421.

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is(A) 5½ (B) 7½ (c) 2/11 (D) 2/15

Answer»

(B) 7½

We know that, bicycle wheel is in circular shape.

So, total angle of wheel is 360^o.

From the question it is given that bicycle wheel has 48 spokes.

Then, the angle between a pair of two consecutive spokes is = 360^o/48

= 7.5

= 7½

Discussion

422.	In the above figure ( not to scale ) the sides BA,BC and CA of` Delta ABC` are produced to D,F, and E respectively such that `/_ ACF= 120^(@)` and `/_ BAE= 150^(@)`. Then `/_ ABC = ________`.
Answer» Correct Answer - `90^(@)`

Discussion

423.	In the figure below, `bar(MN)` is the diameter of the circle with centre O. `bar(NP)` bisects the `/_ANM`. If `/_ NMA =33^(@)`, then find `/_ ANP`.
Answer» Correct Answer - `28(1)/(2)^(@)`

Discussion

424.	In the adjacent figure ( not to scale), O is the centre of the circle and `/_OBA =30^(@)`. Find `/_ ACB`. The following sentences ae the steps involved in solving the above problem. Arrange them in sequential order from the first to the last. (A) `/_OAB =30^(@), /_ OBA =30^(@)` `implies /_ AOB =180^(@) -30^(@)-30^(@) =120^(@)` (B) We known that `/_ ACD =("Reflex "/_AOB)/(2)=(240^(@))/(2)=120^(@)` (C ) Reflex `/_ AOB =240^(@)` (D ) `OA =OB` (radii) `implies /_ OBA= /_ OAB =30^(@)`.A. ABCDB. DCABC. DACBD. DCA
Answer» Correct Answer - C `(D),(A),(C ) ` and `(B)` is the sequenctial order.

Discussion

425.	In the following figure (not a scale ) ABCD is a rectangle , `BC =24 cm, DP=10 cm and CD=15 cm` Then, AQ and CQ respectively are _________. A. 39 cm , 13 cmB. 13 cm , 12 cmC. 25 cm , 13 cmD. 39 cm , 12 cm
Answer» Correct Answer - D (i) Use Pythagoras theorem to find AP. Triangle QAB and triangle QPC are similar. `therefore (QP)/(PA)=(QC)/(CB)`

Discussion

426.	Is ABCD of Fig. 2.3 a polygon? If yes, what is the special name for it?
Answer» Yes, it is a polygon, because it is a simple closed figure made of line segments only. It is a quadrilateral.

Discussion

427.	Is ABCD of Fig. a polygon? If yes, what is the special name for it?
Answer» Yes, it is a polygon, because it is a simple closed figure made of line segments only. It is a quadrilateral.

Discussion

428.	Will the lengths of line segment AB and line segment BC make the length of line segment AC in Fig.?
Answer» Yes, ∵ the length of line segment AC is the sum of the lengths of line segment AB and BC.

428.

Will the lengths of line segment AB and line segment BC make the length of line segment AC in Fig.?

Answer»

Yes,

∵ the length of line segment AC is the sum of the lengths of line segment AB and BC.

Discussion

429.	Look at Fig. Mark a point (a) A which is in the interior of both ∠1 and ∠2. (b) B which is in the interior of only ∠1.(c) Point C in the interior of ∠1. Now, state whether points B and C lie in the interior of ∠2 also.
Answer» Yes, the given figure shows that the points B and C lie in the interior of ∠2 also.

Discussion

430.	Look at Fig. 2.34. Mark a point (a) A which is in the interior of both ∠1 and ∠2. (b) B which is in the interior of only ∠1. (c) Point C in the interior of ∠1. Now, state whether points B and C lie in the interior of ∠2 also. Fig.2.34
Answer» Yes points B and C lie in the interior of ∠2 also.

Discussion

431.	Name the following angles of Fig., using three letters: (a) ∠1 (b) ∠2 (c) ∠3 (d) ∠1 + ∠2 (e) ∠2 + ∠3 (f) ∠1 + ∠2 + ∠3 (g) ∠CBA – ∠1
Answer» (a) ∠1 = ∠CBD (b) ∠2 = ∠DBE (c) ∠3 = ∠EBA (d) ∠1 + ∠2 = ∠CBD + ∠DBE = ∠CBE (e) ∠2 + ∠3 = ∠DBE + ∠EBA = ∠DBA (f) ∠l + ∠2 + ∠3 = ∠CBD + ∠DBE + ∠EBA = ∠CBA (g) ∠CBA – ∠1 = ∠CBA – ∠CBD = ∠DBA

431.

Name the following angles of Fig., using three letters: (a) ∠1 (b) ∠2 (c) ∠3 (d) ∠1 + ∠2 (e) ∠2 + ∠3 (f) ∠1 + ∠2 + ∠3 (g) ∠CBA – ∠1

Answer»

(a) ∠1 = ∠CBD

(b) ∠2 = ∠DBE

(c) ∠3 = ∠EBA

(d) ∠1 + ∠2 = ∠CBD + ∠DBE = ∠CBE

(e) ∠2 + ∠3 = ∠DBE + ∠EBA = ∠DBA

(f) ∠l + ∠2 + ∠3 = ∠CBD + ∠DBE + ∠EBA
= ∠CBA

(g) ∠CBA – ∠1 = ∠CBA – ∠CBD = ∠DBA

Discussion

432.	Name the points and then the line segments in each of the following figures :
Answer» (i) Name of the points ➝ A, B and C. Name of the line segments ➝ AB, BC and CA. (ii) Name of the points ➝ A, B, C and D. Name of the line segments ➝ AB, BC, CD and DA. (iii) Name of the points ➝ A, B, C, D and E. Name of the line segments ➝ AB, BC, CD, DE and EA. (iv) Name of the points ➝ A, B, C, D, E and F. Name of the line segments ➝ AB, CD and EF.

432.

Name the points and then the line segments in each of the following figures :

Answer»

(i) Name of the points ➝ A, B and C. Name of the line segments ➝ AB, BC and CA.

(ii) Name of the points ➝ A, B, C and D. Name of the line segments ➝ AB, BC, CD and DA.

(iii) Name of the points ➝ A, B, C, D and E. Name of the line segments ➝ AB, BC, CD, DE and EA.

(iv) Name of the points ➝ A, B, C, D, E and F.
Name of the line segments ➝ AB, CD and EF.

Discussion

433.	Is it possible for the same (a) line segment to have two different lengths? (b) angle to have two different measures?
Answer» (a) No, it is not possible for the same line segment to have two different lengths. (b) No, it is not possible for the same angle to have two different measures.

433.

Is it possible for the same (a) line segment to have two different lengths? (b) angle to have two different measures?

Answer»

(a) No, it is not possible for the same line segment to have two different lengths.

(b) No, it is not possible for the same angle to have two different measures.

Discussion

434.	Name the points and then the line segments in each of the following figures (Fig.2.31). Fig.2.31
Answer» The correct answer is A,B,C,D,AB,BC,CD,DA.

Discussion

435.	Which points in Fig. 2.31, appear to be mid-points of the line segments? When you locate a mid-point, name the two equal line segments formed by it. (I) (II) (III)
Answer» The correct answer is (ii) O,OA and OB (iii) D,DC, and DB

435.

Which points in Fig. 2.31, appear to be mid-points of the line segments? When you locate a mid-point, name the two equal line segments formed by it. (I) (II) (III)

Answer»

The correct answer is (ii) O,OA and OB

(iii) D,DC, and DB

Discussion

436.	Which points in Fig, appear to be mid-points of the line segments? When you locate a mid-point, name the two equal line segments formed by it
Answer» (i) The given figure shows there is no mid-point. (ii) The given figure shows that O is the mid-point of ZB and the name of the two equal line segments are AC and OB. (iii) The given figure shows that D is the mid-point of BC and the name of the two equal line segments are BD and DC.

436.

Which points in Fig, appear to be mid-points of the line segments? When you locate a mid-point, name the two equal line segments formed by it

Answer»

(i) The given figure shows there is no mid-point.

(ii) The given figure shows that O is the mid-point of ZB and the name of the two equal line segments are AC and OB.

(iii) The given figure shows that D is the mid-point of BC and the name of the two equal line segments are BD and DC.

Discussion

437.	If l is a transversal of p and q, a pair of corresponding angles is equal, then the lines p and q are ________.
Answer» Correct Answer - parallel

Discussion

438.	TRANSVERSALS A line intersecting two or more given lines in a plane at different points is called a transversal to the given lines.
Answer» Correct Answer - transversal

Discussion

439.	Circumference of a circle is ______ times to its radius.
Answer» Correct Answer - `2pi`

Discussion

440.	Name the points and then the line segments in each of the following figures (Fig. 2.30):
Answer» The correct answer is A,B,C,AB,BC,AC.

Discussion

441.	Name the following angles of Fig. 2.29, using three letters:(a) ∠1 (b) ∠2 (c) ∠3 (d) ∠1 + ∠2 (e) ∠2 + ∠3(f) ∠1 + ∠2 + ∠3 (g) ∠CBA – ∠1 Fig.2.29
Answer» (a) ∠CBD, (b) ∠DBE, (c) ∠EBA, (d) ∠CBE, (e)∠DBA, (f) ∠CBA (g) ∠DBA

Discussion

442.	The number of obtuse angles in Fig. 2.9 is (A) 2 (B) 3 (C) 4 (D) 5
Answer» correct answer is (C) 4

Discussion

443.	The number of angles in Fig. 2.8 is (A) 3 (B) 4 (C) 5 (D) 6
Answer» correct answer is (D) 6

Discussion

444.	In Fig, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is(A) greater than 45° (B) 45°(C) less than 45° (D) 90°
Answer» (B) 45° Since, the increase and decrease in the length of arms of an angle does not affect the angle made by them. ∴ ∠BPY = 45°

444.

In Fig, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is(A) greater than 45° (B) 45°(C) less than 45° (D) 90°

Answer»

(B) 45°

Since, the increase and decrease in the length of arms of an angle does not affect the angle made by them.

∴ ∠BPY = 45°

Discussion

445.	In Fig., ∠XYZ cannot be written as(A) ∠Y (B) ∠ZXY (C) ∠ZYX (D) ∠XYP
Answer» (B) ∠ZXY In the given figure, the name of angles formed are ∠XYP, ∠XYZ, ∠PYX and ∠ZYX Thus, ∠ZXY is not a correct option.

445.

In Fig., ∠XYZ cannot be written as(A) ∠Y (B) ∠ZXY (C) ∠ZYX (D) ∠XYP

Answer»

(B) ∠ZXY

In the given figure, the name of angles formed are
∠XYP, ∠XYZ, ∠PYX and ∠ZYX

Thus, ∠ZXY is not a correct option.

Discussion

446.	In Fig 2.7, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is (A) greater than 45° (B) 45° (C) less than 45° (D) 90°
Answer» correct answer is (B) 45°

Discussion

447.	In Fig. 2.6, ∠XYZ cannot be written as (A) ∠Y (B) ∠ZXY (C) ∠ZYX (D) ∠XYP
Answer» correct answer is (B) ∠ZXY

447.

In Fig. 2.6, ∠XYZ cannot be written as (A) ∠Y (B) ∠ZXY (C) ∠ZYX (D) ∠XYP

Answer»

correct answer is (B) ∠ZXY

Discussion

448.	If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is(A) (5 1/2) (B) (7 1/2) (C) ( 2/11) (D) ( 2/15)
Answer» correct answer is (B) (7 1/2)

Discussion

449.	Which of the following letters has only one line of symmetry? (A) H (B) X (C) Z (D) T
Answer» The correct answer is (D) H

Discussion

450.	Which of the following letters does not have any line of symmetry? (A) M (B) S (C) K (D) H
Answer» The correct answer is (B) S

Discussion

Explore topic-wise InterviewSolutions in .

MN and PS are two equal chords of a circle drawn on either side of centre O of the circle . Both the chords are produced to meet at point A. If the radius of the circle is 10cm. `MN=12 `cm and OA `=17` cm , then find NA.

PS is the chord of the circle with centre O. A perpendicular is drawn from centre O of the circle to chord PS at M. If `bar(PS) =30 cm` and `bar(OM) =8 cm`, then find the radius of the circle.

The radius of a circle is 10cm. The length of a chord is 12 cm. Then the distance of the chord from the centre is `"__________________"`.

In `Delta ABC, /_ A= /_C= 50^(@)`. The longest side of `Delta ABC `is `__________________`.

In `Delta ABC`, if `/_ A lt /_B lt 45^(@)`, then ABC is a`//` an `"__________________"` triangle.

Number of circles that pass through three collinear poitns is ____________.

If two equal chords bisect each other, then the point of intersection of the chords coincides with their centre. [True `//` False]

In the following figure, `AD=DB` and `DE||BC`. Then `AE=EC` (True/ False)

The ratio of corresponding sides of two similar triangles is `2:3`, then the ratio of the perimeters of two triangles is `4:9` (True/False).

If the diagonals of a cyclic quadrilateral intersect at the centre of a circle , then the quadrilateral is `"_______________"`.

In the above figure, ABCD is a cyclic quadrilateral and `/_BCD =2 /_ BAD`. Find the angle made by the diagonal BD at the centre of the circle.A. `60^(@)`B. `80^(@)`C. `100^(@)`D. `120^(@)`

In the above diagram (not to scale), `AB=AC=`. O is the centre of the circle. If `/_ ABC =80^(@)`, then `/_ BOC =`A. `20^(@)`B. `40^(@)`C. `60^(@)`D. `80^(@)`

If G is the centroid of `Delta ABC`, then the area of `Delta BGC` is `"_______________"` times the area of quadrilateral ABCG.

In `Delta ABC`, if `/_A=80^(@)` and `AB=AC`, then `/_ B = ___________________`.

ABCD is a quadrilateral in which `/_A= 60^(@), /_ B= 70^(@), /_ C =110^(@)` and `/_ D =120^(@)`. The number of pairs of parallel lines is `"________________"`.

In the figure above (not to scale), `AB=CD` and `/_A =100^(@)`. `/_ C =`A. `100^(@)`B. `120^(@)`C. `80^(@)`D. `40^(@)`

In a triangle ABC, if `/_ A gt /_ B gt /_C` and the measures of `/_A , /_B ` and `/_ C` in degrees are integers, then the least possible value of `/_ A` isA. `70^(@)`B. `65^(@)`C. `60^(@)`D. `61^(@)`

What is the number of lines of symmetry for a parallelogram ?A. 2B. 4C. 0D. 6

In the figure below, `bar(BC)|| bar(EF),BC=EF ` and `DF =AC`. Which of the following congurency axiom(s) is`//` are suitable to prove that `Delta BCA =Delta EFD` ?

In the above figure (not to scale), E and F are the mid points of AB and CD respectively. `bar(AB) | |bar(CD),bar(BC)||bar(AD),/_ADE =70^(@)`, AND `/_BCE =40^(@), /_DEC` isA. `70^(@)`B. `40^(@)`C. `110^(@)`D. `120^(@)`

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is(A) 5½ (B) 7½ (c) 2/11 (D) 2/15

In the above figure ( not to scale ) the sides BA,BC and CA of` Delta ABC` are produced to D,F, and E respectively such that `/_ ACF= 120^(@)` and `/_ BAE= 150^(@)`. Then `/_ ABC = ________`.

In the figure below, `bar(MN)` is the diameter of the circle with centre O. `bar(NP)` bisects the `/_ANM`. If `/_ NMA =33^(@)`, then find `/_ ANP`.

In the following figure (not a scale ) ABCD is a rectangle , `BC =24 cm, DP=10 cm and CD=15 cm` Then, AQ and CQ respectively are _________. A. 39 cm , 13 cmB. 13 cm , 12 cmC. 25 cm , 13 cmD. 39 cm , 12 cm

Is ABCD of Fig. 2.3 a polygon? If yes, what is the special name for it?

Is ABCD of Fig. a polygon? If yes, what is the special name for it?

Will the lengths of line segment AB and line segment BC make the length of line segment AC in Fig.?

Look at Fig. Mark a point (a) A which is in the interior of both ∠1 and ∠2. (b) B which is in the interior of only ∠1.(c) Point C in the interior of ∠1. Now, state whether points B and C lie in the interior of ∠2 also.

Look at Fig. 2.34. Mark a point (a) A which is in the interior of both ∠1 and ∠2. (b) B which is in the interior of only ∠1. (c) Point C in the interior of ∠1. Now, state whether points B and C lie in the interior of ∠2 also. Fig.2.34

Name the following angles of Fig., using three letters: (a) ∠1 (b) ∠2 (c) ∠3 (d) ∠1 + ∠2 (e) ∠2 + ∠3 (f) ∠1 + ∠2 + ∠3 (g) ∠CBA – ∠1

Name the points and then the line segments in each of the following figures :

Is it possible for the same (a) line segment to have two different lengths? (b) angle to have two different measures?

Name the points and then the line segments in each of the following figures (Fig.2.31). Fig.2.31

Which points in Fig. 2.31, appear to be mid-points of the line segments? When you locate a mid-point, name the two equal line segments formed by it. (I) (II) (III)

Which points in Fig, appear to be mid-points of the line segments? When you locate a mid-point, name the two equal line segments formed by it

If l is a transversal of p and q, a pair of corresponding angles is equal, then the lines p and q are ________.

TRANSVERSALS A line intersecting two or more given lines in a plane at different points is called a transversal to the given lines.

Circumference of a circle is ______ times to its radius.

Name the points and then the line segments in each of the following figures (Fig. 2.30):

Name the following angles of Fig. 2.29, using three letters:(a) ∠1 (b) ∠2 (c) ∠3 (d) ∠1 + ∠2 (e) ∠2 + ∠3(f) ∠1 + ∠2 + ∠3 (g) ∠CBA – ∠1 Fig.2.29

The number of obtuse angles in Fig. 2.9 is (A) 2 (B) 3 (C) 4 (D) 5

The number of angles in Fig. 2.8 is (A) 3 (B) 4 (C) 5 (D) 6

In Fig, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is(A) greater than 45° (B) 45°(C) less than 45° (D) 90°

In Fig., ∠XYZ cannot be written as(A) ∠Y (B) ∠ZXY (C) ∠ZYX (D) ∠XYP

In Fig 2.7, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is (A) greater than 45° (B) 45° (C) less than 45° (D) 90°

In Fig. 2.6, ∠XYZ cannot be written as (A) ∠Y (B) ∠ZXY (C) ∠ZYX (D) ∠XYP

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is(A) (5 1/2) (B) (7 1/2) (C) ( 2/11) (D) ( 2/15)

Which of the following letters has only one line of symmetry? (A) H (B) X (C) Z (D) T

Which of the following letters does not have any line of symmetry? (A) M (B) S (C) K (D) H