Triangles Properties and Geometric Proportions

Determine Congruent Triangles

100

Triangle 1: Angle: 3, Angle: 4, Angle: 6

Triangle 2: Angle: 3, Angle: 4, Angle: 6

Are the two triangles congruent?

Yes

200

A pair of triangles has angles measuring 25, 103, and 52 degrees. Are the two triangles congruent? 

There is not enough information to say.

300

Triangle 1: Angle: 7, Angle: 5, Angle: 7

Triangle 2: Angle: 5

Are the two triangles congruent?

There is not enough information to say.

400

Angle 1: Angle 84, Side 7, Angle 43

Angle 2: Angle 61, Side 8, Angle 41

Are the two triangles congruent?

No

500

Angle 1: Angle 63, Side 3, Angle 72

Angle 2: Angle 45, Angle 63, Side 3

Are the two triangles congruent?

Yes

Missing Angles of an Triangle

100

Angles: 60, 60

Find the missing angle.

60

200

Angles: 45, 98

Find the missing angle.

37

300

Angles: 120, 30, 6x

Find x.

5

400

Angles: 127(exterior), 90, 2x+1

Find x.

18

500

Angles: 161(exterior), 55, 4x+2

Find x.

26

Proportions

100

3/5 = x/10

Solve for x.

6

200

x/12 = 4/5

Solve for x.

9.6

300

15/5 = x/7

Find x.

21

400

9/10 = 10/x

Solve for x.

100/9

500

7/3 = 4/x

Solve for x.

12/7

Find the missing side length

100

The total internal angles of a triangle.

180

200

Which polygon has two sides?

None

300

Which polygon has nine sides?

Nonagon

400

What is the total internal angle measure of a septagon?

900

500

What is the average internal angle measure of a dodecagon?

15

Exterior Angle Theorem of Triangles

100

Exterior angle:120

Interior angles: 90, 30

Find the missing interior angle.

60

200

Interior angles: 37, 56

Find the exterior angle.

93

300

Interior angles: 125, 21

Find the exterior angle.

146

400

Exterior angle: 146

Interior angles: 5x+3, 4x+8

Find the missing interior angle.

34

500

Exterior angle: 116

Interior angles: 7x+6, 4x

Find x.

10