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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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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

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

Example 1

A.

B.

C.

D.

A.

Example 1a

A.

B.

C.

D.none of these

B.

Example 1b

A.

B.

C.

D.

Which of the following is another name for 3?

C.

Example 1c

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

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  HCI Given

mGBH = mHCI Definition of congruent angles

2x + 5 = 3x – 10 Substitution

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

15 = x Subtract 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

Example 3