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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. **