Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the...

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Transcript of Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the...

Page 1: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.
Page 2: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. 2

B. 4

C. 6

D. 8

Use the number line to find the measure of AC.

Page 3: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. 2

B. 4

C. 6

D. 8

Use the number line to find the measure of AC.

Page 4: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. 3

B. 5

C. 7

D. 9

Use the number line to find the measure of DE.

Page 5: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. 3

B. 5

C. 7

D. 9

Use the number line to find the measure of DE.

Page 6: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. D

B. E

C. F

D. H

Use the number line to find the midpoint of EG.

Page 7: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. D

B. E

C. F

D. H

Use the number line to find the midpoint of EG.

Page 8: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. 12

B. 10

C. 5

D. 1

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

Page 9: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. 12

B. 10

C. 5

D. 1

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

Page 10: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. (–8, 20)

B. (–4, 15)

C. (–2, –5)

D. (2, 20)

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

Page 11: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. (–8, 20)

B. (–4, 15)

C. (–2, –5)

D. (2, 20)

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

Page 12: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. Location A, 10 units

B. Location A, 12.5 units

C. Location B, 10 units

D. Location B, 12.5 units

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?

Page 13: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Over Lesson 1–3

A. Location A, 10 units

B. Location A, 12.5 units

C. Location B, 10 units

D. Location B, 12.5 units

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?

Page 14: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

You measured line segments.

• Measure and classify angles.

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

Page 15: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

• ray

• opposite rays

• angle

• side

• vertex

• interior

• exterior

• degree

• right angle

• acute angle

• obtuse angle

• angle bisector

Page 16: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Angles and Their Parts

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

Answer:

Page 17: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Angles and Their Parts

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

Answer:

Page 18: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Angles and Their Parts

Answer:

B. Name the sides of ∠5.

Page 19: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Angles and Their Parts

Answer:

B. Name the sides of ∠5.

Page 20: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Angles and Their Parts

C.

Page 21: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Angles and Their Parts

C.

Page 22: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A.

A.

B.

C.

D.

Page 23: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A.

A.

B.

C.

D.

Page 24: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

B.

A.

B.

C.

D. none of these

Page 25: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

B.

A.

B.

C.

D. none of these

Page 26: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A.

B.

C.

D.

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

Page 27: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A.

B.

C.

D.

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

Page 28: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.
Page 29: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

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

Answer:

Page 30: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

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

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

Page 31: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

Answer:

Page 32: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

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

Page 33: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

Page 34: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

Page 35: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A. 30°, acute

B. 30°, obtuse

C. 150°, acute

D. 150°, obtuse

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

Page 36: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A. 30°, acute

B. 30°, obtuse

C. 150°, acute

D. 150°, obtuse

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

Page 37: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A. 60°, acute

B. 90°, acute

C. 90°, right

D. 90°, obtuse

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

Page 38: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A. 60°, acute

B. 90°, acute

C. 90°, right

D. 90°, obtuse

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

Page 39: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A. 30°, acute

B. 30°, obtuse

C. 150°, acute

D. 150°, obtuse

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

Page 40: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

A. 30°, acute

B. 30°, obtuse

C. 150°, acute

D. 150°, obtuse

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

Page 41: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

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.

Page 42: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

∠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.

Step 1 Solve for x.

Page 43: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

Measure and Classify Angles

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

.

Answer:

Page 44: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

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

Page 45: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

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

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

Page 46: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.

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

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

Page 47: Splash Screen. Over Lesson 1–3 5-Minute Check 1 A.2 B.4 C.6 D.8 Use the number line to find the measure of AC.