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7-91.

Which pairs of triangles below are congruent? If the pair is congruent, justify your conclusion by drawing a flowchart and writing an appropriate triangle congruence condition. Note: The diagrams are not necessarily drawn to scale.

In this course you are expected to label your triangles.

What does it mean for two triangles to be congruent?
What does it mean for two triangles to be similar?
How are these two definitions different?

  1. 2 triangles in different orientation, labeled as follows: #1, left side, 6', horizontal bottom side, 15'. #2, vertical left side, 15', top right side, 6'.

    Read the Math Notes box in lesson 7.1.7 on triangle congruence conditions. Is there enough information to prove the triangles congruent?

  1. Two obtuse triangles. First triangle has a side length of 6 centimeters and an 20 degrees angle opposite that side. The obtuse angle is 112 degrees.  Second triangle has a side length of 6 centimeters and a 20 degree angle opposite that side.  The other acute angle is 48 degrees.

    Is there a way to determine the missing angles in both triangles?

    congruent ( or )

  1. Two right triangles. First has a height of 12 meters and hypotenuse of 13 meters. Second has a base of 12 centimeters and height of 5 centimeters.

    Use the Pythagorean Theorem to solve for the missing side.

  1. Two triangles. First triangle has two angles, 48 and 62 degrees with a side length of 12 inches between the angles. Second triangle has 48 and 62 degree angles with a side length of 12 feet opposite the 48 degree angle.

    Where is the located on each triangle?

    similar () but not congruent since the two sides of length are not corresponding