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Debora [2.8K]
3 years ago
11

Omplete the paragraph proof.

Mathematics
2 answers:
ycow [4]3 years ago
5 0

Answer:

Complete paragraph proof withe Diagram is below.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

Step-by-step explanation:

Complete the paragraph proof.

Given: M is the midpoint of

Prove: ΔPKB is isosceles

Triangle P B K is cut by perpendicular bisector B M. Point M is the midpoint of side P K.

It is given that M is the midpoint of and . Midpoints divide a segment into two congruent segments, so . Since and perpendicular lines intersect at right angles, and are right angles. Right angles are congruent, so . The triangles share , and the reflexive property justifies that . Therefore, by the SAS congruence theorem. Thus, because _<u>_corresponding parts of congruent triangles are congruent </u>_.

Finally, ΔPKB is isosceles because it has two congruent sides.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

Sliva [168]3 years ago
5 0

Answer: A

Step-by-step explanation:

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