Chapter 10/11 - Similarity

31

In a diagram of a landscape plan, the scale is 1 cm = 10 feet. In the diagram, the trees are 3.1 cm apart. How far apart should the actual trees be planted? Remember to label your answer with a unit of measure.

20

Michele wanted to measure the height of her school's flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole. Remember to label your answer with a unit of measure.

7.1

Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 10 inches long. What is the side length of each piece? Round your answer to the nearest tenth. Remember to label your answer with a unit of measure.

160

Red and grey bricks were used to build a decorative wall. The ratio of the number of red bricks to the number of grey bricks was 5 to 2. There were 224 bricks used in all. How many red bricks were used?

-3

Solve for n.

14

The area of a square garden is 98 square meters. How long is the diagonal. Remember to label your answer with a unit of measure.

9

The polygons are similar. Find the value of x.

51

The ratio of the length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 136 feet, what is the length of the rectangle? Remember to label answer with a unit of measure.

5:6

What is the scale factor of triangle RST to triangle UVW? Write your answer in a:b form.

5

What is the value of x?

120:7

A model is made of a car. The car is 10 FEET long and the model is 7 INCHES long. What is the ratio of the length of the car to the length of the model in INCHES? Type your answer is a:b form.

Obtuse

A triangle has side lengths of 23, 6 and 28. Classify it as acute, obtuse, or right.

No

A triangle has sides of lengths 27, 79, and 84. Is it a right triangle? Yes or No.

No

Are the figures similar? Yes or No?

18

Find the geometric mean of 81 and 4. Leave your answer in exact form.

10

Find the missing side length.

8

Find the missing side length.

4.5

Find the value of a. Round your answer to one decimal.

11

Find the value of x.

17.3

Find the value of x. Round to one decimal.

11.3

Find the value of x. Round your answer to one decimal.

8

Find the value of y.

C

Given TQRS is similar to BCDE, then angle Q is congruent to angle _______ ?

14.1

Given the measure of angle B is 45 degrees, find the length of BC. Round your answer to one decimal.