Incenter and Circumcenter

Question 1

Which pair of triangles can be proven congruent by SAS?

Revolt · Accepted Answer

C:

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

A: it is given

Question 3

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

Revolt · Accepted Answer

A: Rigid transformations preserve segment lengths and angle measures.; B: A rigid transformation, or a combination of rigid transformations, will produce congruent figures.; C: In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.; D: 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 4

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

B: RQS

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

C: the reflexive property

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

A: SAS

Incenter and Circumcenter Answers

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Incenter and Circumcenter Answers

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