Download Geometry Name: Worksheet 5.4B Period: ______ Date: ______ Use

Geometry
Name: _____________________________
Worksheet 5.4B
Period: ________ Date: _____________
Use Medians and Altitudes
The Case of the Missing Diagram
For each problem, draw the diagram, list the givens, and list what you are trying to prove. Then PROVE # 2
using a two-column proof. Show all your work on a separate sheet of paper.
1. The segments drawn from the midpoint of the base of an isosceles triangle to the midpoints of the legs
are congruent.
2. The altitude to the base of an isosceles triangle divides the triangle into 2 congruent triangles.
3. Corresponding medians of congruent triangles are congruent.
4. An altitude of an equilateral triangle is also a median of the triangle.
5. Corresponding angle bisectors of congruent triangles are congruent.
Geometry
Name: _____________________________
Worksheet 5.4B
Period: ________ Date: _____________
Use Medians and Altitudes
The Case of the Missing Diagram
For each problem, draw the diagram, list the givens, and list what you are trying to prove. Then PROVE # 2
using a two-column proof. Show all your work on a separate sheet of paper.
1. The segments drawn from the midpoint of the base of an isosceles triangle to the midpoints of the legs
are congruent.
2. The altitude to the base of an isosceles triangle divides the triangle into 2 congruent triangles.
3. Corresponding medians of congruent triangles are congruent.
4. An altitude of an equilateral triangle is also a median of the triangle.
5. Corresponding angle bisectors of congruent triangles are congruent.