Conditional Statements and Equivalence — Unit test Answers

3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.

Which part of the proof does the fourth statement and reason represent?Given: AB ≅ BCBC ≅ EF Prove: EG = AB + FG

Angles 1 and 2 are supplementary.

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.

Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U.

A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.

In the diagram, mFLI is 106°, mFLG = (2x – 1)°,mGLH = (x + 17)°, and mHLI = (4x – 15)°.