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patriot [66]
3 years ago
12

Complete the paragraph proof. Given: and are right angles Line segment A B is-congruent-to line segment B C Line segment B C is-

congruent-to line segment A C Prove: Line A R bisects Angle B A C Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P. It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
Mathematics
2 answers:
aleksklad [387]3 years ago
7 0

Answer:

<BAR ≅<CAR

Step-by-step explanation:

Just took the test

anygoal [31]3 years ago
5 0

Answer:

A edg 2020

Step-by-step explanation:

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