Conditionals
Properties
Proofs & Definitions
Special Angle Pairs
Mixed Review
100

State the CONVERSE of the following:

If you can play the piano, then you are talented.

If you are talented, then you can play the piano.

100

You are solving the following equation: x - 4 = 12. To solve for x, what property do you need to use?

Addition Property of Equality

100

This it the first reason listed in any proof.

Given

100

If angle 1 measures 44 degrees, then its complement measures this.

46 degrees

100

Page 73 # 21

show me

200

Give a counterexample to the conditional: If x<= 20, then x < 10.

A number between 10 and 20

200

In the equation 3(x -2) = 12, the first property used to solve for x will be this property.

Distributive Property

200

An obtuse angle has a measure more than 90 degrees.

Is this a good definition?

a) No, not accurate

b.) No, uses words not previously defined.

c.) No, contains too much information.

d.)  Yes, it is a good definition.

A.)  No, not accurate.

200

Page 73 #20

 < ADB and <BDC

200

Page 73 # 23

Show me
300

Give an instance to the conditional: If x<= 20, then x < 10.

A number less than 10.

300

a = a

Reflexive Property

300

Supplementary angles are two angles whose sum is 180 degrees.

Is this a good definition?

a) No, not accurate

b.) No, uses words not previously defined.

c.) No, contains too much information.

d.)  Yes, it is a good definition.

D.)  Yes, this is a good definition.

300

Page 73 # 22

<ADE and <CDF     or    <ADC and < EDF

300

Page 73 # 25

Find the measure of each angle.

x = 15

45 degrees and 45 degrees

400

You should always provide one of these to prove that a conditional statement is false.

Counterexample

400

If a = b, then b = a.

Symmetric Property

400

Name three things that can be used as reasons in proofs.

Given Information, Definitions, Postulates, Properties, Proven Theorems

400

Angle 3 measures 37 degrees. The angle vertical to it measures this.

37 degrees

400

Page 39 # 30

x = 12

m< ABC = 112

500

When can a conditional be written as a biconditional?

When both the conditional and its converse are true.

500

If <A is congruent to <B and <B is congruent to <C, then __________________.

Bonus:  What property is this an example of?

<A is congruent to <C

Transitive Property of Congruence

500

A similarity transformation is a composition of a rigid motion and a dilation.

Is this a good definition?

a) No, not accurate

b.) No, uses words not previously defined.

c.) No, contains too much information.

d.)  Yes, it is a good definition.

No, uses words not previously defined.

500

Page 73 # 24

Find each angle measure.

x = 31

124 degrees and 56 degrees

500

<A and <B form a linear pair.  If m<A = 2x + 27 and m<B = x + 27, find the measure of each angle.

x = 42

m <A = 111


m < B = 69
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