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Splash Screen. Five-Minute Check (over Lesson 1–3) CCSS Then/Now New Vocabulary Example 1:Real-World Example: Angles and Their Parts Key Concept: Classify Angles Example 2:Measure and Classify Angles Example 3:Measure and Classify Angles. Lesson Menu.

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Splash Screen

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### Splash Screen

Five-Minute Check (over Lesson 1–3)

CCSS

Then/Now

New Vocabulary

Example 1:Real-World Example: Angles and Their Parts

Key Concept: Classify Angles

Example 2:Measure and Classify Angles

Example 3:Measure and Classify Angles

Use the number line to find the measure of AC.

A.2

B.4

C.6

D.8

### 5-Minute Check 1

Use the number line to find the measure of DE.

A.3

B.5

C.7

D.9

### 5-Minute Check 2

Use the number line to find the midpoint of EG.

A.D

B.E

C.F

D.H

### 5-Minute Check 3

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

A.12

B.10

C.5

D.1

### 5-Minute Check 4

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

A.(–8, 20)

B.(–4, 15)

C.(–2, –5)

D.(2, 20)

### 5-Minute Check 5

A boat located at (4, 1) can dock at two locations. Location A is at (–2, 9) and Location B is at (9, –11). Which location is closest? How many units away is the closest dock?

A.Location A, 10 units

B.Location A, 12.5 units

C.Location B, 10 units

D.Location B, 12.5 units

### 5-Minute Check 6

Content Standards

G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

Mathematical Practices

5 Use appropriate tools strategically.

6 Attend to precision.

### CCSS

You measured line segments.

• Measure and classify angles.

• Identify and use congruent angles and the bisector of an angle.

### Then/Now

• degree

• right angle

• acute angle

• obtuse angle

• angle bisector

• ray

• opposite rays

• angle

• side

• vertex

• interior

• exterior

### Vocabulary

Angles and Their Parts

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

### Example 1

Angles and Their Parts

B.Name the sides of5.

### Example 1

C.

Angles and Their Parts

A.

B.

C.

D.

A.

A.

B.

C.

D.none of these

B.

### Example 1b

A.

B.

C.

D.

Which of the following is another name for 3?

C.

### Concept

Measure and Classify Angles

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

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

### Example 2

Measure and Classify Angles

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

### Example 2

Measure and Classify Angles

### Example 2

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

A.30°, acute

B.30°, obtuse

C.150°, acute

D.150°, obtuse

### Example 2a

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

A.60°, acute

B.90°, acute

C.90°, right

D.90°, obtuse

### Example 2b

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

A.30°, acute

B.30°, obtuse

C.150°, acute

D.150°, obtuse

### Example 2c

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 mGBH and mHCI if GBH  HCI, mGBH = 2x + 5, and mHCI =3x – 10.

### Example 3

Measure and Classify Angles

Step 1 Solve for x.

GBH HCIGiven

mGBH= mHCIDefinition of congruent angles

2x + 5= 3x – 10Substitution

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

15= xSubtract 2x from each side.

### Example 3

.

Measure and Classify Angles

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

Answer:mGBH = 35, mHCI = 35

### Example 3

Find mBHC and mDJE if BHC  DJE, mBHC = 4x + 5, and mDJE = 3x + 30.

A.mBHC = 105, mDJE = 105

B.mBHC = 35, mDJE = 35

C.mBHC = 35, mDJE = 105

D.mBHC = 105, mDJE = 35