Anúncio
Anúncio

### 3_5 Midline Theorem.ppt

1. In the given triangle, find the value of x, and the m<ABC.
2. In the figure shown below, segment BD bisects segment AC, and segment AB is congruent to segment BC.  Prove that triangle ADB and triangle CDB are right triangles. Use a two-column proof.
3.  The area of the triangle is equal to the area of the parallelogram. What can you conclude about the area of the two shapes? Area of triangle Area = ½ (B x H) Area of parallelogram Area = B x H
4. The segment joining the midpoints of two sides of a triangle is parallel to the third side and is half as long as the third side. Midline Theorem
5. Example 1: Find the value of x.
6. B is the midpoint of segment AC, D is the midpoint of segment CE, and AE = 17. Find BD. Example 2:
7. a. If AC = 10 and AB = 16, find AD, BE, and DE. b. If AC = x - 10 and DE = 6, find the value of x. ABC is an isosceles triangle with base AC and midline DE.
8. Find the value of x, y, and z.
9. x = ___ AB = ___ y = ___ AC = ____ z = ___ CB = ____ m ABC = _____ m DEB = _________ m ADE = _______m EDC = _________ m ACB = _______ D is the midpoint of segment AC, E is the midpoint of segment AB.
10. Write Summary  At least 3 sentences
11. 1. ABC is an isosceles triangle with base and midline If AC = 10 and AB = 16, find: AD = _______ BE = ______ DE = _______ 2. If AC = x – 10 and DE = 6, find the value of x. E D A B C
Anúncio