Proportion
Similar Polygons
Similar Triangles
Parallel Lines/ Perpendicular Parts
Parts of Similar Triangles

### 100

Solve the proportion. 2.3/4= x/3.7
2.1275

### 100

A triangle has side lengths of 3 meters, 5 meters, and 4 meters. The triangle is enlarged so that the larger triangle is similar to the original and the scale factor is 5. Find the perimeter of the larger triangle.
60 meters

### 100

What is the name of the Theorem? If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.
Side-Side-Side (SSS) Similarity Theorem (or Theorem 6.1)

### 100

Determine whether line QT is parallel to line RS. Justify your answer. PR=30, PQ=9, PT=12, PS=18
No; segments are not proportional

### 100

The distance from the film to the lens in a camera is 10 centimeters. The film image is 5 centimeters high. Tamika is 164 centimeters tall. How far should she be from the camera in order for the photographer to take a full-length picture?
330 cm or 3.3 m

### 200

The ratio of the measures of three sides of a triangle is 9:8:7, and its perimeter is 144 units. Find the measure of each side of the triangle.
54, 48, 42

### 200

Determine whether the statement is always, sometimes, or never true. A triangle is similar to a quadrilateral.
never

### 200

A cell phone tower in a field casts a shadow of 100 feet. At the same time, a 4 foot 6 inch post near the tower casts a shadow of 3 feet by 4 inches. Find the height of the tower in feet and inches.
135 feet

### 200

Determine whether line QT is parallel to line RS. Justify your answer. TS=8.6, PS=12.9, and PQ is half RQ.
yes

### 200

Triangle ABC is similar to triangle DEF. If AC =10.5, AB=6.5, and DE=8, find DF.
DF=12.9

### 300

In 2000-2001 school year, Arizona State University had 44,125 students and 1747 full-time faculty members. What was the ratio of the students to each teacher rounded to the nearest tenth?
25.3:1

### 300

Determine whether the statement is always, sometimes, or never true. Two rectangles are similar
Sometimes

### 300

Identify true or false. If triangle ABC ~ triangle EFG and triangle ABC ~ triangle RST, then triangle EFG ~ triangle RST
true

### 300

If XN=t-2, NZ=t+2, XM=2, and XY=10, solve for t.
t=3

### 300

Find the perimeter triangle ABC. Triangle ABC ~ Triangle CBD, AD=5, CD=12, and BC=31.2
Triangle ABC=78

### 400

Find the measures of the sides of the triangle. The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 72 inches.
18 in., 24 in., 30 in.

### 400

A picture is enlarged by a scale factor of 5/4 and then enlarged again by the same factor. If the original picture was 2.5 inches by 4 inches, what were its dimensions after both enlargements?

### 400

Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 p.m. The length of the shadow was 0.9 meter. Then she measured the Eiffel Tower's shadow, and it was 240 meters. What is the height of the Eiffel Tower?
320 meters

Find x and y.
x=21, y=15

Find x
11 and 1/5

### 500

There were approximately 255,082,000 people in the United States in a recent year. According to figures from the United States Census, they consumed about 4,183,344,800 pounds of ice cream that year. Find the approximate consumption of ice cream per person.
16.4 pounds

### 500

A picture is enlarged by a scale factor of 5/4 and then enlarged again by the same factor. By what scale factor was the original picture enlarged?

### 500

Triangles ABC and TBS have bertices A(-2, -8), B(4, 4), C(-2, 7), T(0, -4), and S(0, 6). Find the ratio of the perimeters of the two triangles.
25/16

### 500

Find the length of line BC if line BC is parallel to line DE and line DE is a midsegment of triangle ABC.
square root of 52

### 500

Find DC if line DG and line JM are altitudes and triangle KJL ~ triangle EDC.
DC=4