# File 7 th

Grade Geometry Unit Study Guide February 2016

ANGLES (Review vertical and adjacent angles, supplementary and complementary angles, and congruent angles)

1.

The measure of angle ABC is 21°. What is the measure of an angle supplementary to angle

ABC? What is the measure of an angle complementary to angle ABC?

2.

The two dotted lines intersect at one point shown in the picture. The two lines are perpendicular.

2 1 6

3

5

4

a.

What is the measure of angle 6? b.

The measure of angle 4 is 55°. What is the measure of angle 5? c.

What angle is congruent to angle 2? d.

What two angles are complementary to angle 1?

CIRCLES

3.

a.

Name the center of the circle. b.

Name a diameter of the circle.

c.

Name three radii of the circle.

4.

What is the area of a pizza with a 12-inch diameter?

5.

What is the circumference of a circle with a 3-inch radius?

6.

What is the area of a circle with a radius of 5.5 cm?

7 th

Grade Geometry Unit Study Guide February 2016

7.

Gabe wants to put a circular fence around his garden. If the diameter of his garden is 10 feet, how much fencing will he need to buy?

8.

Mary has a circular swimming pool and wants to keep the bugs out. If the diameter of the pool is 18 feet, what will the area of the top of the cover be?

TRIANGLES (Triangle Inequality Theorem)

9.

Determine whether it is possible to form a triangle with these measurements. Explain your

reasoning. 4in., 12in., 9in.

10.

A triangle has a perimeter of 27 inches. Which of these could be the triangle? Choose all that would work. a.

20 in, 3 in, 4 in b.

10 in, 10 in, 7 in c.

25 in, 1 in, 1 in d.

9 in, 9 in, 9 in

VOLUME/SURFACE AREA

11.

A rectangular prism has a length of 10 cm, width of 4 cm, and height of 7 cm. a.

What is the volume? Show the formula you used. b.

What is the surface area? Show the formula you used.

12.

Find the surface area of the square pyramid.

7 th

Grade Geometry Unit Study Guide February 2016

CROSS SECTIONS (Study the book pages that we cut and pasted together)

13.

The figure shows one of the ways in which a rectangular prism can be sliced by a plane to form a cross section. Identify the shape of the cross section and describe how the prism was sliced.

14.

Draw a plane perpendicular to the base that passes through the middle of the square pyramid. a.

Describe the cross section formed as the plane passes through the pyramid. b.

Suppose that the perpendicular plane does not pass through the middle of the pyramid.

Describe the cross section.

15.

Describe the cross section that you would obtain if you sliced through a cube in the way described: The cube is sliced in such a way that the plane passes through all six faces of the cube.