Geometry – Triangle Congruence Construction
PH 4.2 – 4.3
Name: ___________________________
Date:________________ Period:______
Triangle Congruence
Objectives: To develop a working understanding of triangle congruence by observation and construction.
Construction 1: Construct a triangle that has the two given angles below with the given side length included
between the two angles.
Observations:
1. Measure each angle and each side of your triangle. Compare your triangle to your neighbor’s. What do you
notice?
2. Did you need to know the length of the other sides before you constructed your triangle? ___________
Why or why not?
Construction 2: Construct a triangle that has sides of equal length to the three line segments below. Label the
vertices of your triangle, ABC. You will have to use your knowledge of congruent line segments to construct
your triangle.
Observations:
1. Measure each angle and each side of your triangle. Compare your triangle to your neighbor’s. What do you
notice?
2. Did you need to know the measure of each angle before you constructed your triangle? ___________
Why or why not?
Construction 3: Construct a triangle with two sides that are the same length as the two segments given below.
In your construction you also need to use the given angle between the two sides whose length is given. This
is called an included angle.
Observations:
1. Measure each angle and each side of your triangle. Compare your triangle to your neighbor’s. What do you
notice?
2. Did you need to know the measure of each angle before you constructed your triangle? ___________
Why or why not?
Construction 4: Construct a triangle using the two angles given below.
Observations:
1. Measure each angle and each side of your triangle. Compare your triangle to your neighbor’s. What do you
notice?
Construction 5: Construct a triangle with the two side lengths and angle given below. Do not put the angle between
the sides.
Observations:
1. Measure each angle and each side of your triangle. Compare your triangle to your neighbor’s. What do you
notice?
2. Is it possible to make more than one triangle given the above information?