Triangle Congruence: ASA and AAS

Question 1

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

Rigid transformations preserve segment lengths and angle measures.; A rigid transformation, or a combination of rigid transformations, will produce congruent figures.; In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.; We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.

Question 2

We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .

Revolt · Accepted Answer

the reflexive property

Question 3

We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .

Revolt · Accepted Answer

SAS

Question 4

To show that ΔFGH ≅ ΔJKL by SAS, what additional information is needed? Check all that apply.

Revolt · Accepted Answer

FH ≅ JL and FG ≅ JK; FH ≅ JL and HG ≅ LK

Question 5

We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .

Revolt · Accepted Answer

it is given

Question 6

We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .

Revolt · Accepted Answer

RQS

Triangle Congruence: ASA and AAS Answers

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