Answers Geometry - Semester 1 PathwaysCentroid and Orthocenter

Triangle Congruence: ASA and AAS Answers

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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

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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.

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.

How can ΔWXY be mapped to ΔMNQ?

Option

If bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.

m∠ABC = 125° and AB ≅ DB

ΔACD is isosceles with base AD

ΔABD is isosceles with base AD

CD = 52 cm

AB = 29 cm

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

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.

a reflection across the line containing HK

a rotation about point H

a reflection across the line containing HJ

a rotation about point K

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

Triangles F E G and F G L are congruent. Triangle F E G is reflected across line F G to form triangle F G L.

Triangles F E G and G L M are congruent. Triangle E F G is rotated about point G to form triangle G L M.

Triangles F E G and L M N are congruent. Triangle F E G is shifted down and to the right to form triangle L M N.

Triangles L M N and E F G are congruent. Triangle F E G is reflected across a line to form triangle L M N. Triangle L M N is also slightly higher and to the right of triangle E F G.

Triangles J K L and M N R are shown.

∠J ≅ ∠M

∠L ≅ ∠R

∠K ≅ ∠N

∠R ≅ ∠K

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: ASA and AAS Answers

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