Unit 4 Study Guide: Part 1 - Triangles

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

• greater than

• less than 

• equal to

If you are given three angles of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

If you are given two sides of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

How many triangles exist with the following angle measures?

100°, 100°, 50°

• No triangle exists with the given angle measures.

• More than one triangle exists with the given angle measures.

• Exactly one unique triangle exists with the given angle measures.

How many triangles exist with the following angle measures?
80°, 50°, 50°

• No triangle exists with the given angle measures.

• More than one unique triangle exists with the given angle measures.

• Exactly one unique triangle exists with the given angle measures.

Given the three side lengths below, which of the following statements is true?

33, 16, 17

• No triangles can be created using these three side lengths

• One unique triangle can be created using these three side lengths.

• An infinite number of triangles can be created using these three side lengths.

Point C is located 8 inches from point A and 6 inches from point B. Points A and B are 2 inches apart. Which statement is true? (HINT: What are the three side lengths?)

• The points cannot be connected to form a triangle.

• The points can be connected to form exactly one triangle.

• The points can be connected to form exactly two triangles.

• The points can be connected to form more than two triangles.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°

• 90°

• 180°

• 360°

Find the measure of the indicated angle. 

• 95

• 85

• 35

• 45

Find the measure of each angle indicated.

• 22

• 25

• 29

• 55