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Which theorem would show that the two right triangles are congruent? OA SAS Triangle Congruence Theorem O B. HL Triangle Congruence Theorem O C. ASA Triangle Congruence Theorem O D. AAS Triangle Congruence Theorem

Which theorem would show that the two right triangles are congruent? OA SAS Triangle Congruence Theorem O B. HL Triangle Congruence Theorem O C. ASA Triangle Congruence Theorem O D. AAS Triangle Congruence Theorem

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.2: Angles And Their Relationships
Problem 37E: Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On...
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### Geometry Standards Review **Question 3:** **Which theorem would show that the two right triangles are congruent?** - Image depicts two right triangles. The triangles have one pair of sides marked with congruence tick marks, indicating that those sides are equal in length. Both triangles feature a right angle, and there is one pair of angles marked with a congruence arc. **Multiple Choice Options:** - **A.** SAS Triangle Congruence Theorem - **B.** HL Triangle Congruence Theorem - **C.** ASA Triangle Congruence Theorem - **D.** AAS Triangle Congruence Theorem **Answer analysis:** Given the components in the image: - **Right angle** is present in both triangles. - **One pair of congruent sides** is marked. - **One pair of congruent angles** is marked. Using the notation: - **SAS** stands for Side-Angle-Side. - **HL** stands for Hypotenuse-Leg. - **ASA** stands for Angle-Side-Angle. - **AAS** stands for Angle-Angle-Side. Review the components necessary for each theorem to determine which theorem applies.
Transcribed Image Text:### Geometry Standards Review **Question 3:** **Which theorem would show that the two right triangles are congruent?** - Image depicts two right triangles. The triangles have one pair of sides marked with congruence tick marks, indicating that those sides are equal in length. Both triangles feature a right angle, and there is one pair of angles marked with a congruence arc. **Multiple Choice Options:** - **A.** SAS Triangle Congruence Theorem - **B.** HL Triangle Congruence Theorem - **C.** ASA Triangle Congruence Theorem - **D.** AAS Triangle Congruence Theorem **Answer analysis:** Given the components in the image: - **Right angle** is present in both triangles. - **One pair of congruent sides** is marked. - **One pair of congruent angles** is marked. Using the notation: - **SAS** stands for Side-Angle-Side. - **HL** stands for Hypotenuse-Leg. - **ASA** stands for Angle-Side-Angle. - **AAS** stands for Angle-Angle-Side. Review the components necessary for each theorem to determine which theorem applies.
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