Answers MISD-Geometry-RECOVERY-A-2019-2020Unit Test

Triangle Congruence: SAS Answers

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Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K.

Translate H to L and rotate about H until HK lies on the line containing LM.

Translate K to M and rotate about K until HK lies on the line containing LM.

Translate K to N and rotate about K until HK lies on the line containing LN.

Translate H to N and rotate about H until HK lies on the line containing LN.

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Parallelogram V W Z X is shown. Point Y is at the bottom center of the shape. Lines are drawn from points V to X through point Y and from points W to Z through point Y. 4 triangles are formed by the lines.

Yes, along with the given information, ZX ≅ ZX by the reflexive property.

Yes, the triangles are both obtuse.

No, the sides of the triangles intersect.

No, there is not enough information given.

The proof that ΔACB ≅ ΔECD is shown.Given: AE and DB bisect each other at C.Prove: ΔACB ≅ ΔECD

∠BAC ≅ ∠DEC

∠ACD ≅ ∠ECB

∠ACB ≅ ∠ECD

∠BCA ≅ ∠DCA

Triangles A Q R and A K P share point A. Triangle A Q R is rotated up and to the right for form triangle A Q R.

a rotation about point A

a reflection across the line containing AR

a reflection across the line containing AQ

a rotation about point R

Triangles RQS and NTV have the following characteristics:• Right angles at ∠Q and ∠T • RQ ≅ NTCan it be concluded that ΔRQS ≅ ΔNTV by SAS? Why or why not?

Yes, one set of corresponding sides and one corresponding angle are congruent.

Yes, they are both right triangles.

No, it is necessary to know that another set of corresponding sides is congruent.

No, it is not possible for the triangles to be congruent.

Which of these triangle pairs can be mapped to each other using a single translation?

Triangles C E D and C N P are congruent. Triangle C E D is rotated about point C and then reflected across a line to form triangle C N P.

Triangles C N E and C E D are congruent. Triangle C N E is reflected across a line and then rotated slightly to form triangle C E D.

Triangles C E D and M D P are congruent. Triangle M D P is rotated and shifted up to form triangle C E D.

Triangles C E D and M P N are congruent. Triangle C E D is shifted to the right to form triangle M P N.

The proof that is shown. Select the answer that best completes the proof.Given: ΔMNQ is isosceles with base , and and bisect each other at S.Prove:

NS and QS

NS and RS

MS and RS

MS and QS

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?

Triangles X Y C and A B C are shown. Both triangles are congruent and share common point C. Triangle A B C is slightly lower than triangle X Y C.

Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is identical to triangle A B C but is slightly higher.

Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is reflected across a line to form triangle A B C.

Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

The proof that ΔEFG ≅ ΔJHG is shown.Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.Prove: ΔEFG ≅ ΔJHG Statement Reason1.G is the midpoint of HF1.given2.FG ≅ HG2.def. of midpoint3.EF ∥ HJ3.given4.?4.alt. int. angles are congruent5.EF ≅ HJ5. given6.ΔEFG ≅ ΔJHG6.SAS

∠FEG ≅ ∠HJG

∠GFE ≅ ∠GHJ

∠EGF ≅ ∠JGH

∠GEF ≅ ∠JHG

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB?

Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A B C. It is also slightly higher than triangle A B C.

Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.

Triangles A B C and X Y Z are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C.

Triangles A B C and X Y Z are congruent. Triangle A B C is rotated to the right to form triangles X Y Z. Triangle X Y Z is also higher and to the right of triangle A B C.

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Triangle Congruence: SAS Answers

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