Shapes and Designs Unit Test Review

Math 7 Shapes and Designs

Unit Test Review

Multiple Choice

What is the measure of angle b?

• 36° 

• 63°

• 56°

• 117°

Multiple Choice

How many degrees are in EACH ANGLE of a regular 16-gon?

• 120°

• 157.5°

• 210°

• 150°

Multiple Choice

(n - 2) X 180

What is the ANGLE SUM of a regular 20gon?

• 3240°

• 1200°

• 3600°

• 2000°

Multiple Choice

These angles are....

• complementary

• supplementary

• neither

• both

Multiple Choice

These angles are....

• complementary

• supplementary

• neither

• both

Multiple Choice

Find the missing angle measure.

• 40°

• 50°

• 60°

• 140°

Multiple Choice

Find the missing angle measure.

• 82°

• 43°

• 72°

• 52°

Multiple Choice

Find the missing angle measure.

• 75°

• 100°

• 85°

• 45°

​The interior angle sum of a quadrilateral (a four-sided figure) is always 360.

​

You can write the following equation to help you solve for x:

​

100 + 110 + 75 + x = 360

​

285 + x = 360

x = 75

Multiple Choice

Find the measure of angle D.

• 140°

• 40°

• 16°

• 90°

​You know that the interior angles of a triangle equal 180 degrees.

​

You can solve for x like this:

​

78 + 62 + x = 180

​

140 + x = 180

x = 40

Multiple Choice

Find the measure of the missing angle.

• 50°

• 100°

• 180°

• 10°

​You know that the interior angles of a triangle equal 180.

​

Use that to solve for x:

​

80 + 50 + x = 180

​

130 + x = 180

x = 50

Multiple Choice

What is the sum of the exterior angles of a pentagon?

• 900°

• 360°

• 540°

• 108°

​Remember this page from our notes????

​

​The EXTERIOR Angle Sum of ANY polygon is.....

​

​360°

Multiple Choice

Find the missing angle measure.

• 112°

• 90°

• 116°

• 244°

​You know that the interior angle sum of any quadrilateral is 360°.

​

​Solve for x like this:

​

​79 + 110 + 55 + x = 360

​

​244 + x = 360

​

​x = 116

Multiple Choice

In a tessellation, the measures of the angles that meet at each vertex must add up to how many degrees?

• 180°

• 360°

• 90°

• 3°

​Remember this from our notes??

​

​Tessellating figures meet at a vertex where the angle measures add up to 360°.

​

​

360° makes a full circle. No overlap or gaps!!

Multiple Choice

Find the measure of angle 1.

• 105°

• 75°

• 40°

• 140°

Multiple Choice

Find the measure of angle 2.

• 105°

• 75°

• 40°

• 140°

Multiple Choice

Estimate the measure of this angle. 

Do not use a protractor.

• 130°

• 95°

• 320°

• 50°

​Remember this from our notes (and from a few slides back)???

​

Squares, triangles and hexagons are the only shapes that tessellate.

Multiple Choice

• 360°

• 300°

• 30°

• 275°

Multiple Choice

What are the three benchmark angles shown here and labeled A, B and C?

• 30, 45, 60

• 180, 210, 270

• 120, 135, 150

• 210, 225, 240

​Remember these benchmark angles from our notes?  They go by 30° or 45°.

​Please be comfortable with these benchmark angles.  You may even want to draw them out in your notes!

Multiple Choice

Is a triangle with angle measures 20, 30 and 50 possible?

• Yes

• No

​Triangle interior angle sum is always 180°

​Is a triangle with angle measures 20, 30 and 50 possible?

​

​It is NOT possible because 20 + 30 + 50 = 100°.

​

​Triangles must equal 180°

​Think about this from our notes.

​

​The two shorter lengths must be LONGER than the third length.

​

​So....if a triangle has sides of 8 and 10 units, the longest possible side length for the third side MUST be less than 8 + 10.

​

17 < 8 + 10

​

​Let's try another one.....

​Think about this from our notes.

​

​The two shorter lengths must be LONGER than the third length.

​

​So....if a triangle has sides of 10 and 12 units, the longest possible side length for the third side MUST be less than 10 + 12.

​

21 < 10 + 12

​

Multiple Choice

Suppose two angles are supplementary and one of them measures 72°. 

What is the measure of the other angle?

• 18°

• 108°

• 288°

• 72°

Multiple Choice

Suppose two angles are complementary and one of them measures 72°. 

What is the measure of the other angle?

• 18°

• 108°

• 288°

• 72°

Multiple Choice

The figure shows two parallel lines and a transversal.

The measure of angle 1 is 110°.

What is the value for angle 4?

• 110°

• 70°

• 105°

• 80°

​Remember this page from our notes?

​

​Vertical angles are CONGRUENT like angles d and f or angles i and k.

​The other angles are SUPPLEMENTARY like angles d and e or angles i and h.

Multiple Choice

The figure shows two parallel lines and a transversal.

The measure of angle 1 is 110°.

What is the value for angle 2?

• 110°

• 70°

• 105°

• 80°

Multiple Choice

The figure shows two parallel lines and a transversal.

The measure of angle 1 is 110°.

What is the value for angle 5?

• 110°

• 70°

• 105°

• 80°

​Remember this page from our notes?

​

​Look at angles j and l or angles i and o. See how they are congruent?

​

​Look how a parallelogram is formed and all of the angles are either congruent or supplementary to one another.

Multiple Choice

The figure shows two parallel lines and a transversal.

The measure of angle 1 is 110°.

What is the value for angle 6?

• 110°

• 70°

• 105°

• 80°

Multiple Choice

What is the quadrant number represented by A?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

​Please remember that the number of the quadrants goes counterclockwise starting at the positive x-axis.

Multiple Choice

What kind of symmetry is shown here?

• No Symmetry

• Reflectional Symmetry

• Rotational Symmetry

• Both Reflectional and Rotational Symmetry

​An isosceles triangle, like the one on the previous slide, only has reflectional symmetry.

Multiple Choice

Solve:  2x + 10 = 20

• 5

• 10

• 20

• 2

​

​2x + 10 = 20

​

​2x = 10

​

​x = 5

​

​GO BACK AND CHECK!!!

​

​2(5) + 10 = 20

​YOU ARE AWESOME!!!

​Congratulations on finishing this study guide!!!

​

​You are READY for your unit test!

​

If you have any questions on any of these problems, ask for help!!