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Isosceles and Equilateral Triangles Practice Worksheet Name: _____________________________ 1. Refer to the figure to the right. a) What kind of triangle is ∆𝑄𝑅𝑆? ___________________ b) Name the legs of ∆𝑄𝑅𝑆. _______ and ______ c) Name the base of ∆𝑄𝑅𝑆. ___________ d) Name the vertex angle of ∆𝑄𝑅𝑆. ________ e) Name the base angles of ∆𝑄𝑅𝑆. ______ and _______ 2. Determine whether each statement is always true, sometimes true, or never true. a) If a triangle has three congruent sides, then it has three congruent angles. always true sometimes true never true b) If a triangle is isosceles, then it is equilateral. always true sometimes true never true c) If a right triangle is isosceles, then it is equilateral. always true sometimes true never true d) The largest angle of an isosceles triangle is obtuse. always true sometimes true never true e) If a right triangle has a 45° angle, then it is isosceles. always true sometimes true never true f) If an isosceles triangle has three acute angles, then it is equilateral. always true sometimes true never true g) The vertex angle of an isosceles triangle is the largest angle of the triangle. always true sometimes true never true