All About Triangles Review

Triangle Sum Theorem

100

If you are given two angles that add up to 120 what would the third angle equal?

60

200

If you have a triangle with the missing angle equaling 45, what do the other two angles have to add up to?

135

300

You are given the angle of 84 and 48. What is the measure of the third angle?

48

400

The triangle has an angle given as 45 and a second angle equaling 50. What will the third angle equal?

85

500

You are given an angle of 84, an angle of 24+x, and the last angle of 48+x. What does x equal?

12

Triangle Inequality Theorem

100

12,14,16

Yes

200

7,8,15

No

300

4,8,11

Yes

400

Find the range of possible measure for the third side.

11,11

0<x<22

500

Find the range of possible measure for the third side.

8,12

4<x<20

Isosceles Triangle

100

True or False

Isosceles triangles exactly two equal sides 

True

200

If one of the base angles equals 45, what would the other base angle equal?

45

300

If a base angle equals 50, what would the non-base angle equal?

80

400

If the non-base angle equals 50, what would the base angles be?

65

500

What would another angle equal if only one angle is given as 60?

60

Distance Formula

100

A type of triangle whose leg² + leg² = hypotenuse² .

What is a Right Triangle?

200

A type of triangle whose leg² + leg² < hypotenuse² .

What is an Obtuse Triangle?

300

A right triangle has leg length of 8cm and hypotenuse length of 20cm. What is the length of the other leg?

Approximately 18.33 cm

400

What is the distance between (8,-7) and (-3,4) on a coordinate grid?

Approximately 15.56

500

If the area of an isosceles right triangle is 98 in², find the length of one of the legs.

14 inches

Triangle Congruence

100

The conjecture that states: If all sides of one triangle are congruent to all sides of another triangle, then the two triangles are congruent.

Side Side Side

200

True or False: Pythagoras believed he would be reincarnated as a bean.

True! 

300

A conjecture that states: If two triangles have 2 sets of congruent angles and 1 set of congruent sides, then the triangles are congruent. 

Angle Side Angle 

OR

Angle Angle Side

400

The conjecture that states: If two triangles have 2 sets congruent sides and a congruent included angle, then the two triangles are congruent.

Side Angle Side

500

If 2 angles and the included side are congruent to 2 sides and the included angle of another triangle then what kind of congruence is this?

Not Enough Information