If any one of these statements is not true, then the triangles would not be congruent.
If △RST≅△XYZ Which of the following does not need to be true? (1 point) Responses SR≅YZ SR≅YZ RT≅XZ RT≅XZ ∠T≅∠Z ∠T≅∠Z ∠R≅∠X ∠R≅∠X
If △RST≅△XYZ, then all corresponding parts of the triangles must be congruent. Therefore, the statement "∠T≅∠Z" does not need to be true. The equality of angles is not necessary to prove congruence; it's the congruence of the sides that determines the congruence of triangles.
For the ASA Postulate to apply, which side of the triangle must be known?
For the ASA (Angle-Side-Angle) postulate to apply, the lengths of two sides and the measure of the included angle between them must be known. Therefore, one of the sides of the triangle must be known.
Which pair of triangles can be proven congruent by the AAS Theorem (1 point) Responses
The AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent. Therefore, the pair of triangles that can be proven congruent by the AAS theorem is not possible to determine without the given options provided. Please provide the options for a specific response.
State the postulate or theorem you would use to prove the pair of triangles congruent. (1 point) Responses ASA ASA AAS AAS SAS SAS not enough information
To determine the postulate or theorem needed to prove a pair of triangles congruent, specific information about the triangles is required. Without the given options, it is not possible to determine the correct postulate or theorem.
State the postulate or theorem you would use to prove each pair of triangles congruent.
