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Congruent Figures Not Drawn to Scale

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Congruent Figures Not Drawn to Scale
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Are the two polygons similar? If not, explain why. (They are not drawn to scale, but you can assume all angles are 90°.)

Yes

No; Not enough information to tell

No; 5 ⁄ 25 ≠ 6 ⁄ 10

No; 5 ⁄ 25 ≠ 8 ⁄ 41

Tags

CCSS.HSG.SRT.B.5

2.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Is there enough information to prove these triangles are similar? Choose all that are correct.

Not by SSS

because

no side lengths given

Yes by AA~

because

∠ABE≅∠BCD\angle ABE\cong\angle BCD

and

∠EAB≅∠DBC\angle EAB\cong\angle DBC

Not by SAS

because

no side lengths given

Yes by ASA

because

∠ABE≅∠BCD\angle ABE\cong\angle BCD

∠EAB≅∠DBC\angle EAB\cong\angle DBC

and BE≅CDBE\cong CD

Tags

CCSS.HSG.SRT.B.5

3.

LABELING QUESTION

1 min • 1 pt

Use the diagram to determine if the triangles are similar and then fill in the remaining blanks. (Note: If there is a dilation, it should be listed last.)

e
f
i
j

Reflection

Rotation

No

ASA

AA~

Dilation

Yes

4/3

Translation

SSS

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Is there enough information to prove these triangles are similar? Choose all that are correct.

Not by AA~

because

there are NO congruent angles

Not by SSS

because

there are NO congruent sides

Yes by SAS

because

1520=2432\frac{15}{20}=\frac{24}{32}

and

∠LNM≅∠PNO\angle LNM\cong\angle PNO

Not by SAS

because

m∠MLN≠m∠OPNm\angle MLN\ne m\angle OPN

Tags

CCSS.HSG.SRT.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine if triangles are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

AA∼AA\sim

SAS∼SAS\sim

SSS∼SSS\sim

The triangles are not similar

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine if triangle STU and triangle VWX are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

AA∼AA\sim

SAS∼SAS\sim

SSS∼SSS\sim

The triangles are not similar

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine if triangles are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

AA∼AA\sim

SAS∼SAS\sim

SSS∼SSS\sim

The triangles are not similar

Tags

CCSS.HSG.SRT.B.5

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