In this worksheet, we will practice using the isosceles triangle theorems to find missing lengths and angles in isosceles triangles.
Q1:
Consider the following triangle.
Identify the legs of the triangle.
Q2:
In the following triangle, 𝐴𝐵=3cm, 𝐵𝐶=3cm, and 𝐴𝐶=4cm.
Identify the base angles of this triangle.
Q3:
Find 𝑚∠𝐵𝐴𝐶.
Q4:
Find 𝑚∠𝐶𝐵𝐴 and 𝑚∠𝐷𝐴𝐶.
Q5:
Find the measures of the angles of △𝐴𝐵𝐶.
Q6:
Which pair of segments have the same length?
Q7:
Given that 𝑚∠𝐹𝐶𝐴=134∘ in the figure below, two sides are equal, which are these?
Q8:
In the figure, find 𝐴𝐷 given that 𝐵𝐸=6cm and 𝐴𝐸=6cm.
Q9:
Is 𝑀𝐵𝐶 an isosceles triangle?
Q10:
Is the triangle 𝐴𝐵𝐶 isosceles?
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