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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

Splash Screen


Lesson menu

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


5 minute check 1

Use the number line to find the measure of AC.

A.2

B.4

C.6

D.8

5-Minute Check 1


5 minute check 2

Use the number line to find the measure of DE.

A.3

B.5

C.7

D.9

5-Minute Check 2


5 minute check 3

Use the number line to find the midpoint of EG.

A.D

B.E

C.F

D.H

5-Minute Check 3


5 minute check 4

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

A.12

B.10

C.5

D.1

5-Minute Check 4


5 minute check 5

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


5 minute check 6

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


Splash screen

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


Then now

You measured line segments.

  • Measure and classify angles.

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

Then/Now


Vocabulary

  • degree

  • right angle

  • acute angle

  • obtuse angle

  • angle bisector

  • ray

  • opposite rays

  • angle

  • side

  • vertex

  • interior

  • exterior

Vocabulary


Example 1

Answer:

Angles and Their Parts

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

Example 1


Example 11

Answer:

Angles and Their Parts

B.Name the sides of5.

Example 1


Example 12

C.

Angles and Their Parts

Example 1


Example 1a

A.

B.

C.

D.

A.

Example 1a


Example 1b

A.

B.

C.

D.none of these

B.

Example 1b


Example 1c

A.

B.

C.

D.

Which of the following is another name for 3?

C.

Example 1c


Concept

Concept


Example 2

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


Example 21

Measure and Classify Angles

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

Example 2


Example 22

Measure and Classify Angles

Example 2


Example 2a

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


Example 2b

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


Example 2c

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


Example 3

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


Example 31

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


Example 32

.

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


Example 33

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


End of the lesson

End of the Lesson


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