Triangles and Their Side Lengths

Question 1

We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that .

Revolt · Accepted Answer

AB = AC

Question 2

Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the .

Revolt · Accepted Answer

triangle parts relationship theorem

Question 3

However, this contradicts the given information that . Therefore, , which is what we wished to prove.

Revolt · Accepted Answer

side AB is congruent to side AC

Question 4

However, this contradicts the given information that . Therefore, , which is what we wished to prove.

Revolt · Accepted Answer

angle B is congruent to angle C

Question 5

Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply.AD bisects ∠BAC. AD bisects BC.AD forms right angles with BC.AD is perpendicular to BC.AD is the perpendicular bisector of BC.

Revolt · Accepted Answer

AD bisects ∠BAC.; AD bisects BC.; AD forms right angles with BC.; AD is perpendicular to BC.; AD is the perpendicular bisector of BC.

Question 6

ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?

Revolt · Accepted Answer

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Triangles and Their Side Lengths Answers

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