High School

Thank you for visiting Decide whether there is enough information to prove that WXZ YZX using the SAS Congruence Theorem A yes Because ZW XY W Y and WX. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.

A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem

B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.

C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.

D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.

Decide whether there is enough information to prove that WXZ YZX using the SAS Congruence Theorem A yes Because ZW XY W Y and WX

Answer :

Final answer:

Taking given pairs, congruency doesn't form Side-Angle-Side sequence in the same triangle. Hence, it's not correct to use SAS Congruence Theorem for proving the given triangles congruent. Therefore, the answer is option C.

Explanation:

The subject of this question is triangle congruence, particularly involving the SAS (Side-Angle-Side) Congruence Theorem in geometry. In order for the SAS theorem to declare two triangles congruent, we need two sides and the included angle of one triangle to be congruent to two sides and the included angle of another triangle.

In this case, the information given is that ZW≅XY, ∠W≅∠Y, and WX≅YZ. However, we miss the positional accuracy in these pairs. The pairs mentioned do not form the perfect sequence of Side-Angle-Side in the same triangle. So, the correct answer is option C: No, there is one pair of congruent sides and one pair of congruent angles, but there is no valid Side-Angle-Side sequence that fits the SAS Congruence Theorem.

Learn more about SAS Congruence Theorem here:

https://brainly.com/question/16475105

#SPJ3

Thank you for reading the article Decide whether there is enough information to prove that WXZ YZX using the SAS Congruence Theorem A yes Because ZW XY W Y and WX. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany