Name: __________________________ Class: ___________________ Date: _______________________Common Assessment # 6 Study Guide

Geometric Vocabulary & FormulasDIRECTIONS: Write the vocabulary word that best fits each definition below1. ________________________ = two angles who angles sum to 90 degrees. 2. ________________________ = two angles who angles sum to 180 degrees.3. Area Formula for a Circle= ______________________________4. Circumference Formula for a Circle (either one) = ________________________5. ________________________ = the constant of proportionality used in scale drawings6. ________________________ = the total area of the surface of a three-dimensional object.7. Describe how find the surface area of any three-dimensional object._________________________________________________________________________________8. Formula for finding VOLUME of cubes and right prisms = ___________________

FLUENCY1. Find the area and circumference of a circle with a diameter of 9.50 cm. Area: ______________ Circumference: _______________ 2. A model of a toy car has a ratio of 1cm: 4 feet. Find the actual size of the car if the toy is 3.75 cm.

Name: __________________________ Class: ___________________ Date: _______________________Common Assessment # 6 Study Guide

3. Find the volume of a right rectangular prism if the dimensions are 5 in, 8 in, and 9 in.4. Name the shape of the slice when a rectangular prism is sliced parallel to the prism’s base.

PROBLEM SOLVING:

1. Consider the following statements about the diagram below. Choose True or False for each statement.

2. The lengths or angles given represent the sides or angles of a triangle.

For each set of angles or sides on the left, mark the appropriate box in the table: Unique Triangle, More Than One Triangle, or No Triangle

Unique Triangle More Than One Triangle No Triangle6cm, 12 cm, 8 cm o o o

30, 60, and 90 o o o

5cm, 3cm, 2cm o o o

45, 50 95 o o o

3. What is the value of a ?

a. angle v and angle y are adjacent angles: T or F

b. The measure of angle z can be found by doing 90 – 43: T or F

c. Angle v, angle w, and angle x are supplementary angels: T or F

d. The measure of angle x is 94: T or F

e. Angle z and angle w are vertical angles: T or F

Name: __________________________ Class: ___________________ Date: _______________________Common Assessment # 6 Study Guide

Answer:____________________4. What is the area of the shaded region in the figure shown? Use 3.14 for π and round your answer to the nearest

tenth.

Answer:__________________sq ft.

5. A triangles has two sides with lengths 7m and 8m. Which statement could be true about the triangle? Choose all that apply.A. The third side could be 15m long.B. The sum of all side lengths could be 16cm longC. The third side could be less than 6cm longD. The sum of all side lengths could be 24cm E. The triangle could be equilateral.

6. The measurements of a figure are shown below.

What is the area, in square feet, of the figure? Answer: _________________________ square feet

7. The checkerboard patterned patches on a quilt are squares that measure 6 centimeters to a side. Each grid square in the drawing below measures ¾ centimeters. What is the scale of the drawing?

Name: __________________________ Class: ___________________ Date: _______________________Common Assessment # 6 Study Guide

6cm Answer:__________________________

8. Two angles are complementary. One angle is labeled (4m – 7)°. The other angle is labeled 8m°. Find the value of m.

Answer: ____________________

9. Two angles are supplementary. Angle A is labeled (2.5z + 2)°. Angle B is labeled 12z°. Find the value of angle A.

Answer:____________________

10.

11. Rhonda wants to glue ribbon around a semicircular window in her child’s bedroom.

Part A

Name: __________________________ Class: ___________________ Date: _______________________Common Assessment # 6 Study Guide

Write an expression to describe the length of ribbon Rhonda will need relative to the width of the window, w.

Part B

Solve for the cost of the ribbon if w = 5 and the price of ribbon is $0.75 per foot. Use 3.14 for π and round to the nearest cent.

The cost of the ribbon is .

12. Olivia wants to cover a foam cube with fabric to use as a decoration in her room. How much fabric will Olivia use to cover this number cube?

A. 24 sq cm B. 384 sq cm C. 64 sq cm D. 512 sq cm

13. Melissa wants to install new flooring in her hallway and kitchen. She does not need new flooring on the counter, stove, or sink areas. How many square feet of flooring will she need to purchase?

8 cm

Name: __________________________ Class: ___________________ Date: _______________________Common Assessment # 6 Study Guide

14. Consider the warehouse shown below.

Part A What is the volume of the warehouse? The volume of the warehouse is cubic feet.

Part B

What is the surface area of the warehouse? Assume it has no floor. The surface area of the warehouse is square feet.

Name: __________________________ Class: ___________________ Date: _______________________Common Assessment # 6 Study Guide