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Five-Minute Check (over Lesson 9–4)

Main Idea and Vocabulary

Key Concept: Angles of a Quadrilateral

Example 1:Find a Missing Angle Measure

Key Concept: Classifying Quadrilaterals

Example 2:Classify Quadrilaterals

Example 3:Find a Missing Angle Measure

• Classify quadrilaterals and find missing angle measures in quadrilaterals.

• quadrilateral

• rectangle• square

• parallelogram• rhombus• trapezoid

Find a Missing Angle Measure

Find the value of x in the quadrilateral shown.

Since the sum of the angle measures in a quadrilateral is 360°, x + 50 + 130 + 50 = 360.

Find a Missing Angle Measure

130 + 230 = 360 You know that 130 + 230 = 360.

Answer: So, the value of x is 130.

x + 50 + 130 + n50 = 360 Write the equation.

x + 230 = 360 Add 50, 130, and 50.

THINK What measureadded to 230 equals

360?

1. A

2. B

3. C

4. D0% 0%0%0%

A. 70

B. 80

C. 90

D. 110

Find the value of x in the quadrilateral shown.

RUGS Classify the quadrilateral of each rug below.

Answer: The first rug is a parallelogram. The second rug is a square.

Classify Quadrilaterals

1. A

2. B

3. C

4. D0% 0%0%0%

A. rectangle

B. square

C. rhombus

D. trapezoid

Classify the quadrilateral at the right.

SHORT RESPONSE What is the value of x in the quadrilateral below?

Find a Missing Angle Measure

Read the ItemYou need to find the value of x.

Solve the ItemSince the sum of the angle measures in a quadrilateral is 360°, x + 90 + 90 + 73 = 360.

Answer: The value of x is 107.

x + 253 = 360 Add 90, 90, and 73.

THINK What measureadded to 253 equals

360?

107 + 253 = 360 You know that 107 + 253 = 360.

x + 90 + 90 + 73 = 360 Write the equation.

Check 107 + 90 + 90 + 73 = 360

Find a Missing Angle Measure

1. A

2. B

3. C

4. D0% 0%0%0%

A. 60

B. 80

C. 90

D. 95

What is the value of x in the quadrilateral below?

Five-Minute Check (over Lesson 9–4)

Image Bank

Math Tools

Estimating Angles

Angles in Triangles

1. A

2. B

3. C

0% 0%0%

A. acute

B. right

C. obtuse

Classify the triangle as acute, right, or obtuse.

(over Lesson 9-4)

1. A

2. B

3. C0% 0%0%

A. acute

B. right

C. obtuse

Classify the triangle as acute, right, or obtuse.

(over Lesson 9-4)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 25

B. 35

C. 45

D. 55

Find the value of x in the triangle.

(over Lesson 9-4)

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 70

B. 75

C. 80

D. 95

Find the value of x in the triangle.

(over Lesson 9-4)

1. A

2. B

3. C0% 0%0%

A. scalene

B. isosceles

C. equilateral

A triangle has sides measuring 6 centimeters, 6 centimeters, and 9 centimeters. Classify the triangle by its sides.

(over Lesson 9-4)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 12°

B. 52°

C. 72°

D. 92°

A triangle has angles measuring 38° and 70°. What is the measure of the triangle’s third angle?

(over Lesson 9-4)