+149 I need a LOT of help on my homework
Provide the missing reasons for the proof of part of the triangle midsegment theorem.
Given: K is the midpoint of line MJ. L is the midpoint of line NJ .
Prove: MN=2KL
1. K is the midpoint of line MJ. L is the midpoint of line NJ. 1. Given
2. line MK line KJ and line NL line JL 2. Definition of midpoint
3. MK=KJ and NL=LJ 3. Segment Congruence Postulate
4. MJ=MK+KJ and NJ=NL+LJ 4. Segment Addition Postulate
5. MJ=2KL and NJ=2LJ 5. Substitution Property of Equality
6. MJ/KJ=NJ/LJ=2 6. Division Property of Equality
7. angle J = angel J 7. Reflexive Property
8. triangle JMK~ triangle JKL 8. AAA
9. MN/KL=MJ/KJ 9.
10. MN/KL=2 10.
11. MN=2KL 11.
Complete the proof of the Pythagorean theorem.
Given: triangle ABC is a right triangle, with a right angle at angel c
Prove: a2+b2=c2
1. triangle ABC is a right triangle, with a right angle C 1. Given
2. Draw an altitude from point C to line AB. 2. From a point not on a line, exactly one perpendicular can be drawn through the point to the line.
3. angle CBD and angle CDA are right angles. 3. Definition of altitude
4. angel BCA angle BDC 4. All right angles are congruent.
5. angle B angle B 5. Reflexive Property
6. 6. AA Similarity Postulate
7. a/x=c/a 7.
8. a2=cx 8.
9. angle CDA angle BCA 9.
10. angle A angle A 10. Reflexive Property
11. 11. AA Similarity Postulate
12. b/y = c/b 12.
13. b2=cy 13.
14. a2+b2=cx+cy 14.
15. 15. Distributive Property
16. x+y=c 16.
17. a2+b2=c2 17.
