Chapter 7 Test

Last updated over 5 years ago

23 questions

6

1

0.5

1

0.5

1

5

2

Library

Chapter 7 Test

Last updated over 5 years ago

23 questions

6

Draggable item		Corresponding Item

1

x = _______ cm.

1

y = ______ cm.

1

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

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.

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

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

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

figure

congruent

shape

corresponding

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

congruent

proportional

ratios

equal

EI = _____. (All measurements are in cm)

EI = 6 cm

EI = 7 cm

EI = 8 cm

EI = 63 cm

x = _______ cm.

y = ______ cm.

Is triangle BAK similar to triangle JOL?

Yes, they satisfy the Side Angle Side (SAS) Similarity Conjecture.

Yes, they satisfy the Angle Angle (AA) Similarity Conjecture.

No, they are not similar.

Yes, they satisfy the Side Side Side (SSS) Similarity Conjecture.

Is triangle AEC similar to triangle SYP?

Yes, they satisfy the Side Side Side (SSS) Similarity Conjecture.

Yes, they satisfy the Side Angle Side (SAS) Similarity Conjecture.

Yes, they satisfy the Angle Angle (AA) Similarity Conjecture.

No, they are not similar.

What is the lenght of CA?

CA = 80 cm

CA = 64 cm

CA = 48 cm

Which is a true statement?

Triangle DAG ~ Triangle CAT

Triangle DAG ~ Triangle CTA

Triangle DAG ~ Triangle ACT

Triangle ABC ~ _ by _ similarity conjecture.

w = ________ cm.

ABCDE ~ FGHIJ

x = ________ cm.

ABCDE ~ FGHIJ

y = ________ cm.

ABCDE ~ FGHIJ

z = ________ cm.

ABCDE ~ FGHIJ

Which proportion could be used to solve for m?

s is parallel to r is parallel to segment UO.

n = _____.

s is parallel to r is parallel to segment UO.

n = 5 cm

n = 2 cm

n = 3 cm

n = 4.5 cm

Triangle ABC is similar to triangle DEC.

BF = ______.

Triangle ABC is similar to triangle DEC.

DE = ______.

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

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.

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.

Solve for x.

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

AA Similarity Conjecture

the value we mulitply to dilate a figure

~

having the same position

If two corresponding angles of one triangle are congruent to two corresponding angles of another triangle, then the two triangles are similar.

scale factor

If two corresponding sides are proportional and one included angle is congruent, then the triangles are similar.

corresponding parts

congruent symbol

SAS Similarity Conjecture

similar symbol

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

figure

congruent

shape

corresponding

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

congruent

proportional

ratios

equal

EI = _____. (All measurements are in cm)

EI = 6 cm

EI = 7 cm

EI = 8 cm

EI = 63 cm

Is triangle BAK similar to triangle JOL?

Yes, they satisfy the Side Angle Side (SAS) Similarity Conjecture.

Yes, they satisfy the Angle Angle (AA) Similarity Conjecture.

No, they are not similar.

Yes, they satisfy the Side Side Side (SSS) Similarity Conjecture.

Is triangle AEC similar to triangle SYP?

Yes, they satisfy the Side Side Side (SSS) Similarity Conjecture.

Yes, they satisfy the Side Angle Side (SAS) Similarity Conjecture.

Yes, they satisfy the Angle Angle (AA) Similarity Conjecture.

No, they are not similar.

What is the lenght of CA?

CA = 80 cm

CA = 64 cm

CA = 48 cm

Which is a true statement?

Triangle DAG ~ Triangle CAT

Triangle DAG ~ Triangle CTA

Triangle DAG ~ Triangle ACT

Triangle ABC ~ _________ by _________ similarity conjecture.

EDC by AA

EDC by SAS

DEC by AA

DEC by SAS

DEC by SSS

EDC by SSS

Which proportion could be used to solve for m? 

s is parallel to r is parallel to segment UO. 

n = _____. 

s is parallel to r is parallel to segment UO. 

n = 5 cm

n = 2 cm

n = 3 cm

n = 4.5 cm

Chapter 7 Test

Chapter 7 Test

x = _______ cm.

y = ______ cm.

w = ________ cm.ABCDE ~ FGHIJ

x = ________ cm.ABCDE ~ FGHIJ

y = ________ cm.ABCDE ~ FGHIJ

z = ________ cm.ABCDE ~ FGHIJ

Triangle ABC is similar to triangle DEC. BF = ______.

Triangle ABC is similar to triangle DEC. DE = ______.

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

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 labelb. Set up a proportionc. solveInclude units in your answer.

Solve for x.

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

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

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

EI = _____. (All measurements are in cm)

x = _______ cm.

y = ______ cm.

Is triangle BAK similar to triangle JOL?

Is triangle AEC similar to triangle SYP?

What is the lenght of CA?

Which is a true statement?

Triangle ABC ~ _________ by _________ similarity conjecture.

w = ________ cm.ABCDE ~ FGHIJ

x = ________ cm.ABCDE ~ FGHIJ

y = ________ cm.ABCDE ~ FGHIJ

z = ________ cm.ABCDE ~ FGHIJ

Which proportion could be used to solve for m? s is parallel to r is parallel to segment UO.

n = _____. s is parallel to r is parallel to segment UO.

Triangle ABC is similar to triangle DEC. BF = ______.

Triangle ABC is similar to triangle DEC. DE = ______.

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

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 labelb. Set up a proportionc. solveInclude units in your answer.

Solve for x.

w = ________ cm.

ABCDE ~ FGHIJ

x = ________ cm.

ABCDE ~ FGHIJ

y = ________ cm.

ABCDE ~ FGHIJ

z = ________ cm.

ABCDE ~ FGHIJ

Triangle ABC is similar to triangle DEC.

BF = ______.

Triangle ABC is similar to triangle DEC.

DE = ______.

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.

Triangle ABC ~ _ by _ similarity conjecture.

w = ________ cm.

ABCDE ~ FGHIJ

x = ________ cm.

ABCDE ~ FGHIJ

y = ________ cm.

ABCDE ~ FGHIJ

z = ________ cm.

ABCDE ~ FGHIJ

Which proportion could be used to solve for m?

s is parallel to r is parallel to segment UO.

n = _____.

s is parallel to r is parallel to segment UO.

Triangle ABC is similar to triangle DEC.

BF = ______.

Triangle ABC is similar to triangle DEC.

DE = ______.

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.