AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: SSS and SAS (Sec 7-3, 7-4, 7-5)

Triangle Similarity: SSS and SAS Answers

17 verified answers1 views
3

1/2✔ 246

A
1/2
B
✔ 2
C
4
D
6
4

SAS congruencySAS similaritySSS congruency✔ SSS similarity

A
SAS congruency
B
SAS similarity
C
SSS congruency
D
✔ SSS similarity
112702

Complete the statements to verify that the triangles are similar.

Answers:
=:2
=:2
=:2
Therefore, △PQR ~ △STU by the theorem.:SSS similarity
112710

⇒ 28

Answer:

112710

112712

Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ.

Answers:
♣::WX = WY; WV = WZ
♦::substitution property
♠::SAS similarity theorem
112713

division propertymultiplication property✔ substitution property

A
division property
B
multiplication property
C
✔ substitution property
112714

✔ SAS similarity theoremSSA similarity theoremSSS similarity theorem

A
✔ SAS similarity theorem
B
SSA similarity theorem
C
SSS similarity theorem
112715

Can the triangles be proven similar using the SSS or SAS similarity theorems?

A
Yes, △EFG ~ △KLM only by SSS.
B
Yes, △EFG ~ △KLM only by SAS.
C
Yes, △EFG ~ △KLM by SSS or SAS.
D
No, they cannot be proven similar by SSS or SAS.
112716

Which statement best describes triangles UVW and XYZ?

A
They are similar and congruent.
B
They are similar, but not congruent.
C
They are congruent, but not similar.
D
They are neither congruent nor similar.
112717

What information is necessary to prove two triangles are similar by the SAS similarity theorem?

Answer:

To prove two triangles are similar using the SAS similarity theorem, you must show that two pairs of corresponding sides are proportional and that the included angles (the angles between those sides) are congruent.

112718

What additional information is needed to prove that the triangles are similar?

Answers:
To prove △XYZ ~ △MNO using SSS, you need to know that .:MN = 6 and XZ = 17.5
Now that you know the length of XZ, you need to know that angle O is congruent to to prove △XYZ ~ △MNO using SAS.:angle Z
112719

Which pairs of triangles are similar? Check all that apply.

A
△ABC ~ △DEF
B
△DEF ~ △GHI
C
△GHI ~ △ABC
D
△GHI ~ △JKL
E
△JKL ~ △ABC
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What did you include in your response? Check all that apply.

A
Two pairs of corresponding sides must be proportional.
B
Corresponding included angles must be congruent.
112721

angle X angle Y ✔ angle Z

A
angle X
B
angle Y
C
✔ angle Z
112722

Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ.

Answers:
♣::WX = WY; WV = WZ
♦::substitution property
♠::SAS similarity theorem

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