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Homework Answers - PowerPoint PPT Presentation

Homework Answers. P.244 5. Angle B 9. Proof 11. Proof 18. Proof P. 251 35. Proof 37. SAS 39. ASA. Midsegments of Triangles. Math 2 - Lesson 24 Mr. Lopez. Midsegment. The midsegment of a triangle is the segment connecting the midpoints of two sides. Midsegment Theorem:

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P.244

5. Angle B

9. Proof

11. Proof

18. Proof

P. 251

35. Proof

37. SAS

39. ASA

Midsegments of Triangles

Math 2 - Lesson 24

Mr. Lopez

Midsegment
• The midsegment of a triangle is the segment connecting the midpoints of two sides.
• Midsegment Theorem:
• If a segment joins the midpoints of two sides of a triangle, then:
• the segment is parallel to the third side
• and it’s half the length of the parallel side
Practice
• In EFG, H, J, and K are midpoints. Find the lengths of HJ, JK, and FG.

F

60

J

H

40

E

G

K

100

More Practice

Find the value of x

1.

2.Find x and the measure of the 2 parallel sides.

5x

70

5x - 2

2x + 4

Using Midsegments in a proof

Given: B is the midpoint of AC.

D is the midpoint of AE.

Prove: 1 = 2

A

1

D

B

2

C

E