Conditional Statements
Complementary and Supplementary Angles
Bisectors
Vertical Angles
Parallel Lines and Transversals
100

Label the hypothesis and conclusion of the conditional statement:

If two angles are complementary, then they have a sum of 90 degrees.

Hypothesis: two angles are complementary

Conclusion: they have a sum of 90 degrees

100

Fill in the blanks:

Complementary angles have a sum of ____ degrees.

Supplementary angles have a sum of ____ degrees.

Fill in the blanks:

Complementary angles have a sum of 90 degrees.

Supplementary angles have a sum of 180 degrees.

100

What does a bisector do?

Cuts segments or angles into two congruent/equal parts.

100

Vertical angles are always...

Congruent/Equal/The Same

100

Name a pair of same side interior angles

Angles 4 & 5 OR  3 & 6

200

Write the following in conditional statement format:

Vertical angles are congruent.

If they are vertical angles, then they are congruent.

200

Identify the pictures as complementary or supplementary.


Supplementary

Complementary

Complementary

Supplementary

200

AM= 14 units. What is the length of AB?

28 units

200

What is the measure of angle DCE?

60 degrees

200

Name a pair of Alternate Interior Angles and state whether they are congruent or supplementary

Angles 3 & 5 OR Angles 4 & 6 

Alternate Interior angles are Congruent

300

Write the converse of the conditional:
If the two angles are complementary, then they have a sum of 90 degrees.

If they have a sum of 90 degrees, then the two angles are complementary.

300

Solve for x. 


_____ + _____ = 90

8x+5 + 3x+8 = 90

x= 7

300

At what measure would you draw an angle bisector?

60 degrees

300


What is the measure of angle x and y?

x= 50 degrees

y= 130 degrees

300

State the types of Angles. Solve for x AND the measure of each angle. State these Types of Angles. Solve for x and the measure of each angle

Corresponding Angles (congruent)

______=______

4x=48

x=12

each angle is 48


400

Write the converse and inverse of the conditional statement:

If they are vertical angles, then they are congruent.

Converse:If they are congruent, then they are vertical angles

Inverse: If they are not vertical angles, then they are not congruent.

400

Solve for x. 


_____ + _____ =180

2x+3 + x-6 = 180

x=61

400

Solve for x. 

___ = ___

33 = 4x+1

x= 8 

400

Solve for x. 

____ = ____

12x+10 = 5x+31

x=3

400

State what kind of angles these are. Solve for x & the measure of each angle

Alternate Exterior Angles  

________=_______

3x-33=2x+26

m of angles = 144

500

Write the statement in conditional format, then write the converse, inverse and contrapositive.

Supplementary angles have a sum of 180 degrees.

Conditional: If they are supplementary angles, then they have a sum of 180 degrees.

Converse: If they have a sum of 180 degrees, then they are supplementary angles.

Inverse: If they are not supplementary angles, then they do not have a sum of 180 degrees.

Contrapositive: If they do not have a sum of 180 degrees, then they are not supplementary angles. 

500

Solve for x and the missing angle.


_____ + ___ = 180

2x-9 + 25 =180

x= 82


2(82)-9

155 degrees

500

Solve for x and the length AC.

____ = ____

9x+18=12x-21

x= 13

AC=135 units

500

Solve for x and find the measure of angle 1. 

____ = ____

5x+4=6x+1

x=3

Angle 1= 161 degrees

500

Name the type of Angle Pairs. Solve for x AND the measure of EACH angle.

Consecutive Angles (supplementary)

_______+_______=180

(2x+10)+(x+5)=180

3x+15=180

x=55

2x+10=120

x+5=60