Exploring Isosceles and Equilateral Triangles

What is the main idea of Section 4.2?

• Concept of congruence and triangle theorems

• Properties of quadrilaterals

• Basics of algebra

• Introduction to circles

In an isosceles triangle, if two sides are congruent, what can be said about their corresponding angles?

• They are complementary

• They are congruent

• They are right angles

• They are supplementary

Given an isosceles triangle with angles 28°, 28°, and 5x + 9°, what is the value of x?

• 25

• 28

• 23

• 20

If two angles in a triangle are congruent, what can be said about their corresponding sides?

• They are parallel

• They are unequal

• They are perpendicular

• They are congruent

In Example 3, if 4x + 5 = 8x - 1, what is the value of x?

• 1

• 1.5

• 2

• 2.5

What is the measure of each angle in an equilateral triangle?

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees

In Example 6 Part A, what is the measure of angle PNO if it forms a straight line with angle MNP?

• 120 degrees

• 150 degrees

• 90 degrees

• 60 degrees

In Example 6 Part B, if angle PNO is 120 degrees, what is the measure of angle NOP?

• 45 degrees

• 60 degrees

• 90 degrees

• 30 degrees

What is the sum of the interior angles of any triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

In an isosceles triangle, if one angle is 120 degrees, what are the measures of the other two angles?

• 30 degrees each

• 45 degrees each

• 90 degrees each

• 60 degrees each