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

1002.1275
Solve the proportion.
2.3/4= x/3.7

10060 meters
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.

100SideSideSide (SSS) Similarity Theorem (or Theorem 6.1)
What is the name of the Theorem?
If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.

100No; segments are not proportional
Determine whether line QT is parallel to line RS. Justify your answer.
PR=30, PQ=9, PT=12, PS=18

100330 cm or 3.3 m
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 fulllength picture?

20054, 48, 42
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.

200never
Determine whether the statement is always, sometimes, or never true.
A triangle is similar to a quadrilateral.

200135 feet
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.

200yes
Determine whether line QT is parallel to line RS. Justify your answer.
TS=8.6, PS=12.9, and PQ is half RQ.

200DF=12.9
Triangle ABC is similar to triangle DEF. If AC =10.5, AB=6.5, and DE=8, find DF.

30025.3:1
In 20002001 school year, Arizona State University had 44,125 students and 1747 fulltime faculty members. What was the ratio of the students to each teacher rounded to the nearest tenth?

300Sometimes
Determine whether the statement is always, sometimes, or never true.
Two rectangles are similar

300true
Identify true or false.
If triangle ABC ~ triangle EFG and triangle ABC ~ triangle RST, then triangle EFG ~ triangle RST

300t=3
If XN=t2, NZ=t+2, XM=2, and XY=10, solve for t.

300Triangle ABC=78
Find the perimeter triangle ABC.
Triangle ABC ~ Triangle CBD, AD=5, CD=12, and BC=31.2

40018 in., 24 in., 30 in.
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.

400about 3.9 by 6.25
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?

400320 meters
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?

400x=21, y=15
Find x and y.

40011 and 1/5
Find x

50016.4 pounds
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.

500A 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?

50025/16
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.

500square root of 52
Find the length of line BC if line BC is parallel to line DE and line DE is a midsegment of triangle ABC.

500DC=4
Find DC if line DG and line JM are altitudes and triangle KJL ~ triangle EDC.
