Centroid and Orthocenter

Question 1

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

Revolt · Accepted Answer

C: yes, because a reflection across BA will map ΔABC to ΔABD

Question 2

What additional information would be needed to prove that the triangles are congruent using the ASA congruence theorem?

Revolt · Accepted Answer

D: ∠LNO ≅ ∠LNM

Question 3

Is there a rigid transformation that would map ΔABC to ΔDEC?

Revolt · Accepted Answer

B: yes, a rotation about point C

Question 4

What additional information could be used to prove ΔEFG ΔE'F'G' using AAS? Check all that apply.

Revolt · Accepted Answer

A: EG = 12 and E'G' = 12; B: FG = 15 and F'G' = 15; E: EG ≅ E'G'

Question 5

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

A: it is given

Question 6

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

B: side BA

Question 7

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

C: side BA

Question 8

We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because .

Revolt · Accepted Answer

B: of ASA

Centroid and Orthocenter Answers

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