Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain?
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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
