Geography : asked on celibe9391
 11.08.2020

Can the HL Congruent Property be used?

. 4

Faq

Mathematics
Step-by-step answer
P Answered by PhD

B. of the AAS congruence theorem.

Step-by-step explanation:

Triangles TSR and QRS share side SR

SR=RS

Angle TSR and Angle QRS are right angles, so

∠S= ∠R

Angle T Is-congruent-to Angle Q, so

∠T= ∠Q

From these data, we have one congruent side and two congruent angles. The possible congruence theorem that we can apply will be either ASA or AAS. In the ASA theorem, the congruence side must be between the two congruent angles.

The congruence side required for the ASA theorem for this triangle is ST = RQ. It is wrong because the congruent side we have is SR=RS. The correct option is the AAS theorem.

Mathematics
Step-by-step answer
P Answered by PhD
Correct "Diagonal AC is congruent to itself by the Reflexive Property of Equality."

Insert the sentence above before the sentence "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA)". 

The congruence of two angles is already proved, so you need to prove that the corresponding pair of sides is congruent. Then you have 3 pairs of congruent elements for the Angle-Side-Angle (ASA) Theorem.

Try asking the Studen AI a question.

It will provide an instant answer!

FREE