Unique Triangles and Angles

Which theorem is used in the folowing example?
BA = 12 cm
∠A = 70°
AC = 8 cm

• SSS
• SAS
• ASA
• AAS

How many triangles will the diagonals create?

• 6

• 0

• 5

• 4

Which set of side lengths will make a triangle?

• 6, 8, 13
• 7, 9, 18
• 7, 7, 14
• 2, 6, 9

What is the missing angle?

• 90°
• 87°
• 80°
• 88°

Which theorem is used in the following example?
∠B = 30°
∠C = 80°
CA = 8 cm

• SSS
• SAS
• ASA
• AAS

Which set of side lengths will NOT make a triangle?

• 3, 4, 5
• 1, 3, 4
•  3, 5, 7
• 2, 8, 9

Which theorem is used in the following example?
AB = 12 cm
BC = 10 cm
CA = 8 cm

• SSS
• SAS
• ASA
• AAS

Which theorem is used in the following example?
∠B = 30°
BC = 10 
∠C = 80°

• SSS
• SAS
• ASA
• AAS

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.

A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

• acute triangle
• right triangle
• obtuse triangle
• none of the above