Lesson 08: Triangles with 3 Common Measures | Unit 7: Angles, Triangles, and Prisms

Open Ended

Are these two triangles identical? Explain how you know.

Open Ended

Are these triangles identical? Explain your reasoning.

Open Ended

Tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring 100 degrees, they must be identical to each other. Do you agree? Explain your reasoning.

Multiple Choice

Which of the following sets of triangles are identical copies, just oriented differently?

• Triangles with angles 60°, 60°, 60°

• Triangles with angles 45°, 45°, 90° and 30°, 60°, 90°

• Triangles with sides 3 cm, 4 cm, 5 cm and 5 cm, 12 cm, 13 cm

• Triangles with angles 30°, 60°, 90° and 30°, 60°, 90°

Multiple Choice

If two triangles have sides of lengths 5 cm, 12 cm, and 13 cm, what can be said about these triangles?

• They are identical copies.

• They are different triangles.

• They are similar but not identical.

• They are right-angled triangles.

Multiple Choice

Which of the following is a criterion for two triangles to be identical copies?

• They have the same perimeter.

• They have the same area.

• They have the same set of angles.

• They have the same color.

Multiple Choice

Two triangles have angles 40°, 60°, and 80°. What can be concluded about these triangles?

• They are identical copies.

• They are different triangles.

• They are similar but not identical.

• They are congruent.

Multiple Choice

If two triangles have sides in the ratio 2:3:4, what can be said about these triangles?

• They are identical copies.

• They are different triangles.

• They are similar but not identical.

• They are equilateral triangles.

Multiple Choice

Which of the following sets of triangles are not identical copies?

• Triangles with sides 6 cm, 8 cm, 10 cm and 3 cm, 4 cm, 5 cm

• Triangles with angles 90°, 45°, 45° and 90°, 45°, 45°

• Triangles with sides 5 cm, 5 cm, 5 cm and 5 cm, 5 cm, 5 cm

• Triangles with angles 60°, 60°, 60° and 60°, 60°, 60°

Multiple Choice

Two triangles have sides 7 cm, 24 cm, and 25 cm. What can be concluded about these triangles?

• They are identical copies.

• They are different triangles.

• They are similar but not identical.

• They are right-angled triangles.