Similar Figures TEST
Name:___________________________________ Date: ________________Period: __________
1. Trapezoid ABCD is similar to trapezoid WXYZ.
B
4
C
O
10
X
Which statement must be true?
A.
B.
C.
D.
Y
5
D
A
N
W
12.5
Z
�����
𝑊𝑊𝑊𝑊 is 10 units long.
���� corresponds to 𝑋𝑋𝑋𝑋
�����
𝐶𝐶𝐶𝐶
���� is congruent to 𝑊𝑊𝑊𝑊
�����
𝐴𝐴𝐴𝐴
����
𝐴𝐴𝐴𝐴 is corresponding to �����
𝑊𝑊𝑊𝑊
2. On a sunny day, a 15 foot tall pole casts a 20 foot long shadow, how tall is a person who casts an 8 foot shadow?
A. 10.6 feet
B. 6 feet
C. 37.5 feet
D. 8 feet
3. Similar polygons have corresponding angles that are congruent and corresponding sides that are…
A. Congruent
B. Similar
C. Equal
D. Proportional
4. Triangles ABC and XYZ are similar.
X
A
C
B
Z
What is the perimeter of ∆𝑋𝑋𝑋𝑋𝑋𝑋?
Y
A. 51 units
B. 21 units
C. 25.5 units
D. 17 units
5. A scale drawing of a rectangular park measures 6.5 inches long and 4 inches wide. If the scale used for the
drawing is 2 inches equals 5 yards, what is the perimeter of the park?
A. 26.25 yards
B. 162.5 yards
C. 16.25 yards
D. 52.5 yards
Similar Figures TEST
Name:___________________________________ Date: ________________Period: __________
6. Brentwood and Sun City are 51 miles away from each other. How far away would the cities be on a map that has
a scale of 3 inches:17 miles?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
7. A drawing of a tree and a wall are in the image below.
What is the height of the tree?
A. 1 foot
B. 16 feet
C. 36 feet
D. 22 feet
8. Similar figures have corresponding sides that are proportional and corresponding angles that are…
A. Corresponding
B. Similar
C. Congruent
D. Proportional
9. Given the following figures below, which of the following statements if true?
60°
45°
75°
45°
75°
60°
A. ∆𝐴𝐴𝐴𝐴𝐴𝐴 ~ ∆𝐷𝐷𝐷𝐷𝐷𝐷
C. ∆𝐴𝐴𝐴𝐴𝐴𝐴 ~ ∆𝐹𝐹𝐹𝐹𝐹𝐹
10. If ∆𝐿𝐿𝐿𝐿𝐿𝐿~∆𝑅𝑅𝑅𝑅𝑅𝑅, which of the following proportions is true?
A.
𝐿𝐿𝐿𝐿
C.
𝐿𝐿𝐿𝐿
𝑅𝑅𝑅𝑅
𝑅𝑅𝑅𝑅
=
=
B. ∆𝐴𝐴𝐴𝐴𝐴𝐴 ~ ∆𝐸𝐸𝐸𝐸𝐸𝐸
D. ∆𝐴𝐴𝐴𝐴𝐴𝐴 ~ ∆𝐹𝐹𝐹𝐹𝐹𝐹
𝑇𝑇𝑇𝑇
B.
𝑁𝑁𝑁𝑁
𝑁𝑁𝑁𝑁
D.
𝑀𝑀𝑀𝑀
𝑀𝑀𝑀𝑀
𝑇𝑇𝑇𝑇
𝑅𝑅𝑅𝑅
𝑅𝑅𝑅𝑅
=
=
𝑀𝑀𝑀𝑀
𝑇𝑇𝑇𝑇
𝐿𝐿𝐿𝐿
𝑇𝑇𝑇𝑇
Similar Figures TEST
Name:___________________________________ Date: ________________Period: __________
11. Dave’s optometrist used medicine to dilate his eyes. Before dilation, his pupils had a diameter of 2.1
millimeters. After dilation, his pupils had a diameter of 6.3 millimeters. What was the scale factor of the
dilation?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
12. Triangle 𝐺𝐺𝐺𝐺𝐺𝐺 is drawn below.
What is the measure of y in the diagram?
A. 2 meters
B. 3 meters
C. 12 meters
D. 6 meters
13. Sandra calculated the distance between her home and New Orleans, Louisiana. The scale on the map showed
1
4
that 0.5 inch represented 20 miles. If the distance between Sandra’s house and New Orleans is 7 inches on the
map, what is the actual distance, in miles, from her home to New Orleans?
A. 290 miles
B. .18 miles
C. 1.37 miles
D. 29 miles
1
2
2
3
14. A square has a side length of 3 inches. The scale factor of was used to create a new square. What is the side
length of the new square?
1
3
A. 2 in
1
2
C. 2 in
1
4
B. 5 in
D. Not Here
Similar Figures TEST
Name:___________________________________ Date: ________________Period: __________
15. Triangle 𝐿𝐿𝐿𝐿𝐿𝐿 is similar to triangle 𝑇𝑇𝑇𝑇𝑇𝑇.
����?
What is the length of 𝑈𝑈𝑈𝑈
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
16.
A.
C.
𝑄𝑄𝑄𝑄
𝑄𝑄𝑄𝑄
𝑄𝑄𝑄𝑄
𝑀𝑀𝑀𝑀
=
=
𝐽𝐽𝐽𝐽
𝐿𝐿𝐿𝐿
𝑃𝑃𝑃𝑃
𝐿𝐿𝐿𝐿
B.
D.
𝑄𝑄𝑄𝑄
𝐾𝐾𝐾𝐾
𝑄𝑄𝑄𝑄
𝐾𝐾𝐾𝐾
=
=
𝑅𝑅𝑅𝑅
𝐽𝐽𝐽𝐽
𝑃𝑃𝑃𝑃
𝐽𝐽𝐽𝐽
17. MATH OERFrankie made a scale model of the Eifel Tower. The tower has an actual height of 960 feet. Frankie model a scale
in which 1 inch represented 100 feet. Using words and numbers explain how you could find the height in inches
of the model. Please include the height of the model in your answer.