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

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.





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.

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

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

In the diagram, which angles form a linear pair? Select three options.





Angles 1 and 2 are supplementary.





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

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