Directed Line Segments and Modeling — Cumulative exam Answers

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

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.

Two parallel lines are crossed by a transversal.

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1).

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5).

A point has the coordinates (m, 0) and m ≠ 0.Which reflection of the point will produce an image located at (0, –m)?

On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2).