In this lesson, we will learn how to use the corollaries of the isosceles triangle theorems to find missing lengths and angles in isosceles triangles.
Students will be able to
Q1:
For which values of 𝑥 and 𝑦 is 𝐴𝐷 a perpendicular bisector of 𝐵𝐶?
Q2:
In the figure, 𝐴𝐵=𝐴𝐶=10cm, 𝐸𝐵=𝐸𝐶, and ⃖⃗𝐴𝐷∩𝐵𝐶=𝐷. If 𝐵𝐶=16cm, what are the lengths of 𝐴𝐷 and 𝐷𝐶 respectively?
Q3:
Fill in the blank: In this figure, if 𝐴𝐵=𝐴𝐶, 𝐴𝐷∩𝐵𝐶={𝐷}, where 𝐷𝐶=8cm, and 𝑚∠𝐶𝐴𝐷=𝑚∠𝐵𝐴𝐷=35∘, the length of 𝐵𝐷 is cm.
Find 𝑚∠𝐴𝐶𝐵.
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