Similar Triangles
Parallel Lines and Transversals
Special Angle Relationships
Triangles
Polygons
100

When two corresponding angles of triangles are congruent, then the triangles are ________.

Similar

100

If two lines are NOT parallel and are cut by a transversal, what angle pairs are congruent? 

Vertical angles

100

If two parallel lines are cut by a transversal, what is the relationship between the corresponding angles formed?

Corresponding angles are congruent. 

100

The sum of interior angles of a triangle is....

180 degrees

100
The formula for the sum, S, of the interior angles of a polygon with n sides is...

S=180(n-2)

200

When triangles are similar, then their sides are _______. 

Proportional

200

If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles formed?

Alternate interior angles are congruent. 

200

Two lines cross and form vertical angles. If one vertical angle is 10x-5 and the other is 5x+20, what is the measure of each angle? 

They're both 45 degrees.
200

The exterior angle of a triangle is...

Equal to the sum of the nonadjacent interior angles.

200

Given a regular polygon, we would use this formula to find the measure of each interior angle...

S/n

300
Triangle ABC has angle A of 20 degrees and angle B of 60 degrees. Given triangle XYZ has angle X=20 degrees, what would angle Y have to be in order for them to be similar?

60 degrees

300

If two parallel lines are cut by a transversal, what is the relationship between the vertical angles formed?

Vertical angles are congruent.

300

If two parallel lines are cut by a transversal, and alternate interior angles are congruent, and if one of those alternate interior angles is x+15, and the other is 2x+5.

What is the value of x?

x = 10

300

If the angles of a triangle are 45, 60, and x, find x. 

x=75

300

A polygon has 11 sides, then the sum of the interior angles of the polygon is...

1620 degrees

400

Given similar right triangles, the height of the smaller triangle is 7, and its base is 21. The height of the bigger triangle is 17 and it's base is ____.

51

400

A pair of alternate interior angles are 4x+36 and 8x-12. What is x? 

x=12

400

If two adjacent angles form a straight line, then they are supplementary. One angle is 3x+4 and the other is 2x+6, 

Find the value of x

x=34

400

If the exterior angle of a triangle is x and the two nonadjacent interior angles are 72 and 36, x is...

x=108

400

The measure of each interior angle of a regular polygon with 20 sides is...

162 degrees

500
Given two similar right triangles, the smaller triangle has a height of x and a base of 2.5. The bigger triangle has a baseof 8.75 and a height of 35. Find the height x of the smaller triangle. 

10

500

Two parallel lines are cut by a transversal. If Angles 3 and 4 are alternate exterior angles and the measure of angle 3 is 80 degrees, what is the measure of angle 4? 

80 degrees

500

If two lines are parallel and cut by a transversal and form a pair of corresponding angles, if one of those angles is 7x+12 and the other is 3x+52...

What are the measures of each angle? 

They are both 82 degrees

500
For triangle ABC, angle A is x, Angle B is 3x, and Angle C is x+50. What is the measure of each angle? 

A=26 degrees

B=78 degrees

C=76 degrees

500

The interior angles of a regular pentagon are each 2x degrees. What is x? 

x=54

M
e
n
u