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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

Use the number line to find the measure of AC.

A.2

B.4

C.6

D.8

Use the number line to find the measure of DE.

A.3

B.5

C.7

D.9

Use the number line to find the midpoint of EG.

A.D

B.E

C.F

D.H

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

A.12

B.10

C.5

D.1

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)

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

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.

You measured line segments.

- Measure and classify angles.

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

- degree
- right angle
- acute angle
- obtuse angle
- angle bisector

- ray

- opposite rays
- angle
- side
- vertex
- interior
- exterior

Answer:

Angles and Their Parts

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

Answer:

Angles and Their Parts

B.Name the sides of5.

C.

Angles and Their Parts

A.

B.

C.

D.

A.

A.

B.

C.

D.none of these

B.

A.

B.

C.

D.

Which of the following is another name for 3?

C.

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

A.30°, acute

B.30°, obtuse

C.150°, acute

D.150°, obtuse

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

A.60°, acute

B.90°, acute

C.90°, right

D.90°, obtuse

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

A.30°, acute

B.30°, obtuse

C.150°, acute

D.150°, 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

Step 1 Solve for x.

GBH HCIGiven

mGBH= mHCIDefinition of congruent angles

2x + 5= 3x – 10Substitution

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

15= xSubtract 2x from each side.

.

Measure and Classify Angles

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

Answer:mGBH = 35, mHCI = 35

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

A.mBHC = 105, mDJE = 105

B.mBHC = 35, mDJE = 35

C.mBHC = 35, mDJE = 105

D.mBHC = 105, mDJE = 35