⊙Q and ⊙R are congruent circles that increasect at C and D. CD― is called the common chors of the circles.a) What king of quadrilateral is QDRC? Why?b) CD― must be the perpendicular bisector of QR―. Why?c) If QC=17 and QR=30, find CD

Question

⊙Q and ⊙R are  congruent circles that increasect at C and D. CD― is called the common chors of the circles.a) What king of quadrilateral is QDRC? Why?b) CD― must be the perpendicular bisector of QR―. Why?c) If QC=17 and QR=30, find CD

twaza7fl · Accepted Answer

Step 1Since, ⊙Q and ⊙R are congruent circles,Therefore, radius of each circle should be equal.a) Since, QD, DR, RC, CD are radius and are equal and also meet each other at right angle.Therefore, quadrilateral QDRC is square.b) CD― must be the perpendicular bisector of QR― because diagonal of square intersect each other orthogonally.c) QR― will be equal CD― since, diagonals of square are equal.Therefore,CD=30

\odot Q and \odot R are congruent circles that

Answered question

Answer & Explanation

New Questions in High school geometry