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.
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?
about 3.9 by 6.25
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
400
Find x and y.
x=21, y=15
400
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.