Introduction to Proof — Unit test Answers

A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B.

Given: AB = BCProve: B is the midpoint of AC.

Which statements are true based on the diagram? Select two options.

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

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

Angles 1 and 2 are supplementary.

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.

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

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

2 lines connect to form a right angle. A third line extends between the 2 lines to form 2 angles which are labeled 1 and 2.

What is the format of this proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABD is a right angle

A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.

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.