Question

chapter review
layout
name: demonte domino
date: 11/27/2026
show an understanding of the information in this chapter by answering the questions and filling in the blanks below.

1. all isosceles triangles have three sides equal in length, and all angles are 60°. (true; false)
2. the pythagorean theorem states that the sum of the squares of the shorter sides of a right triangle equals the:

a. area of the triangle
b. perimeter of the triangle
c. square of the longer side
d. angles of the triangle

1. the diameter of a circle is a straight line between two points on a circle that also passes through the ______ of the circle.
2. the ratio of the circumference of a circle to its diameter is:

a. 360°
b. 180°
c. π
d. equal to the square of the hypotenuse

1. in a triangle, the sum of the three interior angles equals 180°. (true; false)
2. the radius of a circle is half as long as the ______ of the circle.
3. what is the value of pi?

a. 3
b. 3.1
c. 3.9
d. 3.1416

1. bisecting an angle divides it into how many parts?

a. 1
b. 2
c. 3
d. 4

Explanation:

Question 1

An isosceles triangle has at least two equal sides and two equal angles. An equilateral triangle (a special case) has three equal sides and all angles \(60^\circ\), but not all isosceles triangles are equilateral. So the statement is false.

The Pythagorean theorem for a right - triangle with legs \(a\), \(b\) and hypotenuse \(c\) (the longer side) states that \(a^{2}+b^{2}=c^{2}\), i.e., the sum of the squares of the shorter sides equals the square of the longer side.

By definition, the diameter of a circle is a straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Answer:

False

Question 2