Geometry Exam- Questions and Answers 100% Solved

Geometry Exam- Questions and Answers 100% Solved

Which best explains whether or not triangles RST and ACB are congruent? Correct Ans-The
figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a
translation 2 units to the left.




What are the rigid transformations that will map

△ABC to △DEF? Correct Ans-Translate vertex A to vertex D, and then rotate

△ABC around point A to align the sides and angles.




How can ΔABC be mapped to ΔXYZ?



Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The
lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triangle
A B C is slightly higher and to the left of triangle X Y Z. Triangle A B C is rotated to form
triangle X Y Z.



First, translate ____________________. Next, rotate ΔABC about B to align the sides and
angles. Correct Ans-vertex B to vertex Y




Triangles W X Z and Y Z X share common side X Z. Angles W X Z and X Z Y are right angles. The
lengths of sides W X and Z Y are 21 centimeters.

Is ΔWXZ ≅ ΔYZX? Why or why not? Correct Ans-Yes, they are congruent by SAS.