Chapter 7 Test

Last updated almost 5 years ago
23 questions
6

Match the term with the correct description by clicking and dragging.

Draggable itemCorresponding Item
~
the value we mulitply to dilate a figure
scale factor
having the same position
SAS Similarity Conjecture
If two corresponding angles of one triangle are congruent to two corresponding angles of another triangle, then the two triangles are similar.
If two corresponding sides are proportional and one included angle is congruent, then the triangles are similar.
AA Similarity Conjecture
congruent symbol
corresponding parts
similar symbol
1

If two figures are similar then they are the same _________________ but not necessarily the same size.

1

Two polygons are similar if and only if the corresponding angles are congruent and the corresponding sides are ___________________________.

1

EI = _____. (All measurements are in cm)

1

x = _______ cm.

1

y = ______ cm.

1


Is triangle BAK similar to triangle JOL?

1


Is triangle AEC similar to triangle SYP?

1

What is the lenght of CA?

1

Which is a true statement?

1

Triangle ABC ~ _________ by _________ similarity conjecture.

0.5

w = ________ cm.

ABCDE ~ FGHIJ

0.5

x = ________ cm.

ABCDE ~ FGHIJ

0.5

y = ________ cm.

ABCDE ~ FGHIJ

0.5

z = ________ cm.

ABCDE ~ FGHIJ

1

Which proportion could be used to solve for m?

s is parallel to r is parallel to segment UO.

1

n = _____.

s is parallel to r is parallel to segment UO.

0.5

Triangle ABC is similar to triangle DEC.

BF = ______.

0.5

Triangle ABC is similar to triangle DEC.

DE = ______.

1

Solve for x. Write your answers as x=____.


5

If a 40 foot tree casts a 25 foot shadow at the same time a nearby building casts a 70-foot shadow, how tall is the building?

a. Draw a picture and label
b. Set up a proportion
c. solve

Include units in your answer.

5

Kendra can see the top of her apartment building reflected in a small fish pond in a park across the street. She is standing 3 m from the pond, and the distance from the pond to the apartment building is 30 m. If Kendra’s eyes are 1.8 m above the ground, how tall is the apartment building?

a. Draw a picture and label
b. Set up a proportion
c. Solve

Include units in your answer.

2

Solve for x.