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Section 5.2 Notes

- Properties of special segments

5.2 Notes

- Find AB if is a median of ?ABC.
- In order to find AB, we must know x.

5.2 Notes

- Find AB if is a median of ?ABC.
- If is a median, then D is the midpoint

of AC and .

5.2 Notes

- If , then set the algebraic

expressions equal to solve for x. - x 3 2x - 17

5.2 Notes

- x 20
- AB 13

5.2 Notes

- Find BC if is an altitude of ?ABC.
- To find BC we need to find x so that we can find

AD and DC and add them to get BC.

5.2 Notes

- Find BC if is an altitude of ?ABC.
- If is an altitude then and
- is a right angle.

5.2 Notes

- Find BC if is an altitude of ?ABC.
- If is a right angle then its measure

is 90. - So set 4x 10 90 to solve for x.

5.2 Notes

- Find BC if is an altitude of ?ABC.
- x 20
- 2(20) 40, 3(20) 456, 405696
- BC 96

5.2 Notes

- Find if is an angle

bisector of ?ABC and if

5.2 Notes

- Find if is an angle

bisector of ?ABC and if - We need to find x in order to find

5.2 Notes

- Find if is an angle

bisector of ?ABC and if - If is an angle bisector of ?ABC, then

5.2 Notes

- Find if is an angle

bisector of ?ABC and if - If then their measures

are equal and the sum of their measures equal the

measure of

5.2 Notes

- Find if is an angle

bisector of ?ABC and if - Find x by setting x6 x6 4x 6.

5.2 Notes

- Find if is an angle

bisector of ?ABC and if - x 9

5.2 Notes

- A centroid of a triangle is located the

distance from the vertex of a triangle. - That means that it is the distance from the

side of a triangle. - If you know the length of a median, divide it by

three. - That number is the distance from the centroid to

the side, and twice that number is the distance

from the centroid to the vertex.

5.2 Notes

- If you know the distance from the centroid to the

side, _______ to find the length of the median. - and ________ to find the distance from the

centroid to the vertex. - If you know the distance from the centroid to the

vertex, _______ to the get the distance from the

centroid to the side. - and ________ that number to find the length of

the median.

5.2 Notes

- G is the centroid of ? ABC.

5.2 Notes

- G is the centroid of ? ABC.
- If BD 9 , then BG _____.

5.2 Notes

- G is the centroid of ? ABC.
- If AG 10 , then AF _____.

5.2 Notes

- G is the centroid of ? ABC.
- If EG 4.2 , then EC _____.

5.2 Notes

- G is the centroid of ? ABC.
- If BE 6 , then EA _____.

5.2 Notes

- G is the centroid of ? ABC.
- If BC 11 , then FC _____.

5.2 Notes

- G is the centroid of ? ABC.
- If DC , then AC _____.

5.2 Notes

- P is the orthocenter of ?OPQ.

5.2 Notes

- P is the orthocenter of ?OPQ.

5.2 Notes

- The incenter of a triangle is equidistant from

the sides of the triangle.

5.2 Notes

- N is the incenter of ?HIJ.

5.2 Notes

- N is the incenter of ?HIJ.
- KN 8, LN _____.

5.2 Notes

- N is the incenter of ?HIJ.

5.2 Notes

- N is the incenter of ?HIJ.