Geometry Reasoning & Proof

Conditionals

100

A conditional statement is a logical statement that has two parts, a ________________ and a _______________.

What is hypothesis & conclusion?

200

Given: If Jessica does her work, then she gets and A in Geometry. The contrapositive to this conditional is...

What is "If Jessica does not get an A in Geometry, then she does not do her work."

300

Given: If Jansen comes to Geometry, then he has fun. The converse to this conditional is....

What is Jansen has fun, then he comes to Geometry.

400

Given: If Vera is in 6th block, then she is in Mr. Davis's class. The inverse to this conditional is....

What is "If Vera is not in 6th block, then she is not in Mr. Davis's class"?

500

Given: If the sum of two angles form a linear pair, then they are supplementary. The bi-conditional AND the truth value of the bi-conditional are...

What is bi-conditional: "The sum of two angles form a linear pair if and only if they are supplementary". Truth value: False (converse is false)

Give the Reason

100

<1 and <2 are complimentary

m/_1+m/_2=90

What reason is used?

Definition of Complementary

200

x=5

5x+3=28

5(5)+3=28

What did we use?

Substitution

300

AB=BC, BC=EF

AB=EF

What is being used?

Transitive Property

400

<1 and <2 are supplementary

m/_1+m/_2=180

What is being used?

Definition of Supplementary

500

Use the transitive property on the following

a=b, b=5

a=5

Definitions & Properties

100

If a =b, then a - c = b - c.

What is the subtraction property of equality?

200

a(b + c) = ab + ac

What is the distributive property?

300

For any segments AB, CD, and EF, if AB = CD and CD = EF, then AB = EF.

What is transitive property?

400

If angle Q and angle R form a right angle, then angle Q and angle R are complementary.

What is the definition of complementary angles?

500

/_A~=/_B, then

m/_A=m/_B

Definition of Congruency

Postulates, Theorems, and Definitions

300

Points x, y, and z are collinear. xy + yz = xz

What is the segment addition postulate?

400

The m<ABD + the m<DBE = the m<ABE.

What is the angle addition postulate?

500

This is the theorem that supports the following statement: Angle 1 and angle 3 are vertical angles; therefore, angle 1 is congruent to angle 3.

What is the vertical angles theorem?

Misc

100

What is the largest animal in the world?

The Blue Whale

200

Which planet is closest to the sun?

Mercury

300

How many rings are there in the Olympics logo?

5

400

Which country produces the most coffee in the world?

Brazil

500

What is a group of bats called?

A Cauldron