Question

QUESTION 1: GEOMETRIC THEOREMS 1.1 Theorem 1 1.1.1 A line drawn from the centre of a circle perpendicular to a chord bisects the chord. (1) 1.1.2 In the diagram drawn below, O is the centre of the circle XCY. COT (perp) XY. OC = r and XY = (frac{3}{2})r Prove, stating reasons, that CT = (frac{4+sqrt{7}}{4})r

          QUESTION 1: GEOMETRIC THEOREMS
1.1 Theorem 1
1.1.1 A line drawn from the centre of a circle perpendicular to a chord bisects the chord.
(1)
1.1.2 In the diagram drawn below, O is the centre of the circle XCY. COT (perp) XY.
OC = r and XY = (frac{3}{2})r
Prove, stating reasons, that CT = (frac{4+sqrt{7}}{4})r

$QUESTION 1: GEOMETRIC THEOREMS 1.1 Theorem 1 1.1.1 A line drawn from the centre of a circle perpendicular to a chord bisects the chord. (1) 1.1.2 In the diagram drawn below, O is the centre of the circle XCY. COT (perp) XY. OC = r and XY = (frac32)r Prove, stating reasons, that CT = (frac4+sqrt74)r$

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Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Chapter 10

Instant Answer

Solved by Expert Audrey Fong

04/25/2024

Step 1

We have a circle with center $O$, and a chord $XY$ of the circle. A line $OC$ is drawn from the center $O$ to the midpoint $C$ of the chord $XY$, making $OC$ perpendicular to $XY$. We are given that $OC = r$ and $XY = \frac{3}{2}r$. Show more…

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