Penguins
Meerkats
Robins
Alligators
Cheetahs
100

Are the triangles below similar? Explain how you know.


Yes. Explanations will vary.

Angles are 65, 65, and 50 degrees.

100

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3x Points

Alternate Exterior Angles

100

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5x Points

Corresponding Angles

100

Use the diagram to write and solve an equation to find angle BAG and angle CGA.


10x - 100 + 3x + 7 = 180

13x -93 = 180

13x = 273

x = 21 degrees

angle BAT = 70 degrees

angle 

100

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4x points

Same-Side Interior Angles

200

Find the m∠A and m∠B. Show your work.


x = 11

angle B = 75

angle A = 50

angle C = 55

200

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2x points

Remote Interior Angles

200

Name all angles that are congruent to angle 1


Angle 4 (vertical angles are congruent)

Angle 5 (corresponding angles are congruent)

Angle 8 (alternate exterior angles are congruent)

200

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3x Points

Exterior Angle

200

How many exterior angles does a triangle have?

6

300

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Supplementary Angles

300

Use the diagram and the fact that m∠2 = 70° to find the angle measures of ∠3. Identify and explain the angle relation you use to solve.

anlge 3 = 180 - angle 2

angle 3 = 180 - 70

angle 3 = 110

300

True or False. Similar triangles must have congruent angles and congruent sides. 

Explain your reasoning.

False. Similar triangles must have congruent angles and proportional sides.

300

If the m∠4 = 55° and the m∠3 = 60°, find the measures of ∠1 and ∠2.


Angle 1 = 55 + 60 = 115

Angle 2 = 180 - 115 = 65

300

Name one set of alternate exterior angles

Name one set of same-side interior angles

Name one set of alternate interior angles 

Name one set of corresponding angles

Alternate exterior angles:

angle 1 and 8

angle 2 and 7

Same-side interior angles

angle 3 and 5

angle 4 and 6

Alternate interior angles 

angle 4 and 5

angle 3 and 6

Corresponding angles

angles 1 adn 5

angles 3 and 7

angles 2 and 6

angles 4 and 8

400

What is the triangle sum theorem?

m<a + m<b + m<c = 180 degrees

400

Use the diagram and the fact that m∠2 = 50° to find the angle measures of ∠1. Identify and explain the angle relation you use to solve.

angle 1 and angle 2 are alternate interior angles, which are congruent so angle 1 also equals 50 degrees

400

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2x Points

Alternate Interior Angles

400

Use the diagram to write and solve an equation to find angle BAG and angle CGA.

Same side interior angles equal 180 degrees.

3x + 7 + 10 x -100 = 180

13x - 93 = 180

13x = 273

x = 21

angle BAG = 3(21) + 7 = 70 degrees

angle CGA = 110 degrees

400

Doritos is testing a new product - Jumbo-ritos. The original size and big size are similar. Use the figure below to determine the height of the big chip.

6.25 inches

500

Are triangles ADE and ABC similar? Explain how you know.


Yes. The triangles share angle DAE and angle BAC. Lines DE and lines BC are parallel lines. Angles ADE and angles ABC are corresponding angles of the parallel lines, which means their congruent.

500

What is the value of x?


116 degrees

500

What is the measure of x?


9 inches

500


20 feet

500

The diagram shows the shadows cast by a signpost and a flagpole. How tall is the flagpole?


20 feet