Show that equal chords drawn from the endpoints on opposite sides of a

1.	Show that equal chords drawn from the endpoints on opposite sides of a diameter of a circle are parallel. please hurry please
Answer» ong>Answer: Heya Step-by-step explanation: LET AB be a diameter of the circle. TWO TANGENTS PQ and RS are drawn at points A and B respectively. Radius drawn to these tangents will be perpendicular to the tangents. Thus, OA ⊥ RS and OB ⊥ PQ ∠OAR = 90º ∠OAS = 90º ∠OBP = 90º ∠OBQ = 90º It can be observed that ∠OAR = ∠OBQ (Alternate interior angles) ∠OAS = ∠OBP (Alternate interior angles) Since alternate interior angles are equal, lines PQ and RS will be parallel. HOPE IT WILL HELP U

Show that equal chords drawn from the endpoints on opposite sides of a diameter of a circle are parallel. please hurry please

Answer»

ong>Answer:

Heya

Step-by-step explanation:

LET AB be a diameter of the circle. TWO TANGENTS PQ and RS are drawn at points A and B respectively.

Radius drawn to these tangents will be perpendicular to the tangents.

Thus, OA ⊥ RS and OB ⊥ PQ

∠OAR = 90º

∠OAS = 90º

∠OBP = 90º

∠OBQ = 90º

It can be observed that

∠OAR = ∠OBQ (Alternate interior angles)

∠OAS = ∠OBP (Alternate interior angles)

Since alternate interior angles are equal, lines PQ and RS will be parallel.

HOPE IT WILL HELP U