Over Lesson 1–3

1. Find the distance between P(–2, 5) and Q(4, –3).

2. Find the coordinates of R if M(–4, 5) is the midpoint of RS and S has coordinates (0, –10).

• ray

• opposite rays

• angle

• side

• vertex

• interior

• exterior

• degree

• right angle

• acute angle

• obtuse angle

• angle bisector

Angles and Their Parts

A. Name all angles that have B as a vertex.

Answer:

Angles and Their Parts

Answer:

B. Name the sides of 5.

Angles and Their Parts

C.

A.

A.

B.

C.

D.

B.

A.

B.

C.

D. none of these

A.

B.

C.

D.

C. Which of the following is another name for 3?

Measure and Classify Angles

A. Measure TYV and classify it as right, acute, or obtuse.

Answer: mTYV = 90, so TYV is a right angle.

Measure and Classify Angles

Answer: 180 > mWYT > 90, so WYT is an obtuse angle.

Measure and Classify Angles

A. 30°, acute

B. 30°, obtuse

C. 150°, acute

D. 150°, obtuse

A. Measure CZD and classify it as right, acute, or obtuse.

A. 60°, acute

B. 90°, acute

C. 90°, right

D. 90°, obtuse

B. Measure CZE and classify it as right, acute, or obtuse.

A. 30°, acute

B. 30°, obtuse

C. 150°, acute

D. 150°, obtuse

C. Measure DZX and classify it as right, acute, or obtuse.

Measure and Classify Angles

INTERIOR DESIGN Wall stickers of standard shapes are often used to provide a stimulating environment for a young child’s room. A five-pointed star sticker is shown with vertices labeled. Find mGBH and mHCI if GBH HCI, mGBH = 2x + 5, and mHCI = 3x – 10.

Measure and Classify Angles

GBH HCI Given

mGBH = mHCI Definition of congruent angles

2x + 5 = 3x – 10 Substitution

2x + 15 = 3x Add 10 to each side.

15 = x Subtract 2x from each side.

Step 1 Solve for x.

Measure and Classify Angles

Step 2 Use the value of x to find the measure of either angle.

.

Answer: mGBH = 35, mHCI = 35

A. mBHC = 105, mDJE = 105

B. mBHC = 35, mDJE = 35

C. mBHC = 35, mDJE = 105

D. mBHC = 105, mDJE = 35

Find mBHC and mDJE if BHC DJE, mBHC = 4x + 5, and mDJE = 3x + 30.