Question

lesson 1
angles are named using 3 points. the middle point is the vertex of the angle, which is where the two ______ intersect.
for example, the angle below is called ∠abc and its vertex is point ______.
if two angles have the same measure, they are called ____________.
test practice 1
which angle is formed by segment bc and segment bd? select all that apply.
a. ∠cbd
b. ∠dcb
c. ∠dbc
d. ∠abc
e. ∠dbg
test practice 2
∠efg is congruent to ∠rst. if m∠efg = 75° and m∠rst = 15x°, what is the value of x?
lesson 2
angle bisectors are rays or segments that divide an angle into two equal parts. bisected angles are ____________.
perpendicular lines are lines that intersect at a ______ angle.

Explanation:

Lesson 1

First blank

Angles are named using 3 points. The middle - point is the vertex of the angle, which is where the two rays intersect.

Second blank

For the angle ∠ABC, the vertex is point B.

Third blank

If two angles have the same measure, they are called congruent angles.

Fourth blank

The angle formed by segment BC and segment BD can be named as ∠CBD or ∠DBC. So the correct options are A. ∠CBD and C. ∠DBC.

Lesson 2

First blank

Angle bisectors are rays or segments that divide an angle into two equal parts. Bisected angles are congruent.

Second blank

Perpendicular lines are lines that intersect at a right angle.

Test Practice 2

Step1: Use the congruence property

Since ∠EFG is congruent to ∠RST, their measures are equal. So we set up the equation 15x = 75.

Step2: Solve for x

Divide both sides of the equation 15x = 75 by 15. We get x = \frac{75}{15}=5.

Answer:

Lesson 1: rays; B; congruent angles; A. ∠CBD, C. ∠DBC
Lesson 2: congruent; right
Test Practice 2: 5