10. Brooke wants to prove that in the figure shown, Delta PQT is congruent to Delta RQS by the SideAngle Side Postulate. . is In Brooker's proof, which statement would give the justification to show the included angles are congruent? Vertical angles are congruent Nitemate extenor angles are congruent Altemate interior angles are congruent Rightangles are congruent

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10. Brooke wants to prove that in the figure shown, Delta PQT is congruent to Delta RQS by the SideAngle Side Postulate. . is In Brooker's proof, which statement would give the justification to show the included angles are congruent? Vertical angles are congruent Nitemate extenor angles are congruent Altemate interior angles are congruent Rightangles are congruent

Answer 1

#Explanation#The Side-Angle-Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. The included angle is the angle formed by the two sides of the triangle. In this case, the included angles in triangles PQT and RQS would be ∠QTP and ∠QRS respectively.Given the options, the statement that would justify the congruence of these included angles would be "Vertical angles are congruent." Vertical angles are formed when two lines intersect, and they are always congruent. If ∠QTP and ∠QRS are vertical angles, then they are congruent, satisfying the angle condition of the SAS postulate.#Answer#Option1

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