DESMOS - Grade 7: Unit 7 Review

DESMOS - Grade 7: Unit 7 Review

Angles, Triangles, and Prisms

Complementary Angles

Two angles that have a sum of 90°

Multiple Choice

What equation would represent the diagram?

• $a\cdot b=90$

• $a+b=90$

• $a-b=90$

• $\frac{a}{b}=90$

Multiple Choice

Angles a and b are complementary. Angle a has a measure of 35°. What is the measure of angle b?

• 35°

• 65°

• 55°

• 145°

Multiple Choice

Angles a and b are complementary. Angle b has a measure of 46°. What is the measure of angle a?

• 46°

• 54°

• 44°

• 134°

Supplementary Angles

Two angles that have a sum of 180°.

Multiple Choice

What equation would represent the diagram?

• $$a\cdot b=180$$

• $$a+b=180$$

• $$a-b=180$$

• $$\frac{a}{b}=180$$

Multiple Choice

Angles a and b are supplementary. Angle a is 120°. What is the measure of angle b.

• 60°

• 120°

• 30°

Multiple Choice

Angles a and b are supplementary. Angle b is 52°. What is the measure of angle a.

• 52°

• 128°

• 38°

Vertical Angles

When two straight lines cross, four angles are created. The pair of angles that are opposite of each other are vertical angles.

Multiple Select

Select all the true equations.

• $a=b$

• $a=c$

• $a=d$

• $b=c$

• $c=d$

Multiple Choice

What is the measure of angle b?

• 65°

• 115°

• 25°

Multiple Choice

What is the measure of angle d?

• 65°

• 115°

• 25°

Sometimes you need to use a combination of complementary, supplementary, and vertical angles to solve a diagram...

Multiple Choice

Find the measure of angle f.

• 142°

• 38°

• 52°

• 128°

Multiple Choice

Find the measure of angle h.

• 38°

• 52°

• 142°

• 128°

Multiple Choice

Find the measure of angle g.

• 38°

• 52°

• 142°

• 128°

How can you tell if three side lengths will make a triangle?

1) Add the two smallest side lengths.

2) If the sum is LARGER than the third (largest) side length, then you can make EXACTLY ONE triangle.

3) If the sum is SMALLER than the third (largest) side length, then you can make ZERO triangles.

Multiple Select

Select all sets of side lengths that will make exactly one triangle.

• 5 cm, 8 cm, 2 cm

• 12 cm, 14 cm, 22 cm

• 2 in, 9 in, 11 in

• 3 ft, 7 ft, 9 ft

• 18 in, 8 in, 11 in

How do you find the volume of a prism?

Find the area of a base and then multiply by the distance between the bases (height).

Volume = Area of base x Distance between bases

Multiple Choice

Find the volume of the prism.

• 120 in³

• 17 in³

• 70 in³

• 42 in³

Multiple Choice

Find the volume of the prism.

• 1440 ft³

• 1080 ft³

• 864 ft³

Multiple Choice

Find the volume of the prism.

• 320 cm³

• 240 cm³

• 400 cm³

• 960 cm³

How do you find the surface area of a prism?

Find the area of each side of the prism, and then add them together.

Multiple Choice

Find the surface area of the prism.

• 82 in²

• 164 in²

• 140 in²

• 120 in²

Multiple Choice

Find the surface area of the prism.

• 1368 ft²

• 342 ft²

• 25920 ft²

• 684 ft²