In this lesson, we will learn how to use the theory of the perpendicular bisector of a chord from the center of a circle and its converse to solve problems.
Students will be able to
Q1:
In the figure, circles 𝐽 and 𝐾 are congruent, 𝐴𝐵≅𝐶𝐷, 𝐴𝐵=(3𝑥+7)cm, and 𝐶𝐷=(8𝑥+12)cm. Find the length of 𝐴𝐵.
Q2:
The radius of the circle 𝑂 below is 87 cm, 𝐴𝐵∥𝐶𝐷, and 𝑋 is the midpoint of 𝐴𝐵. Given that 𝑋𝑂 intersects 𝐶𝐷 at 𝑌 and 𝑂𝑌=60cm, find the length of 𝑌𝐶.
Q3:
𝐴𝐵 is a chord in circle 𝑀 whose radius is 25.5 cm. If 𝐴𝐵=40.8cm, what is the length of 𝐷𝐸?
Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.