H Medians of a Triangle Do Now: Find the measures of angles 1

Name:
Integrated Geometry - H
Date:
Medians of a Triangle
Do Now: Find the measures of angles 1 – 12.
Homework: Any unfinished class work problems.
Median of a Triangle: a line segment joining a vertex of the triangle to the midpoint
of the opposite side of the triangle.
Therefore, what conclusion can be made from this picture
How many medians are there in a triangle
The point of concurrency (3 or more lines that intersect) of the three medians is called
the ____________.

Examples:
1.) One side of an equilateral triangle ABC measures 6 inches.
a.) If median AD was drawn, write one conclusion of congruence and one
conclusion of equality.
b.) What is the length of BD
2.) In triangle DEF, DG is a median. If the measure of side EF is 8x + 24,
what expression would represent the measure of EG
3.) If point R is the centroid of triangle ABC, what is the perimeter of
triangle ABC

4.)
Review Problems
1.) The ratio of the measures of two complementary angles is 5:4. What is the measure of the
larger angle
2.) In the diagram, lines and intersect at E. If m

3.) If two angles are supplementary and one angle is twice as large and the other, find the
number of degrees in the measure of the smaller angle.
4.) In the diagram, lines , , and intersect at G. If m

7.) If intersects at E, m

11.) In the diagram, parallel lines and are intersected by transversal at G and H,
respectively.
If m