Geometry Chapter 2 Review

Patterns

100

a, b, c, a, b, _____ , _____

c, a

200

x, y, z, y, x, y, ____ , _____

z, y 

300

2, 6, 18, 54, _____, ______

162, 486

400

120, 60, 30, _____ , ______

15, 7.5

500

12, 5, 14, 7, 16, 9, ______, _______

18, 11

Conditionals

100

Name the hypothesis of the conditional.

"If the traffic light is red, then you must stop."

The traffic light is red. 

200

Name the conclusion of the conditional.

"If the traffic light is red, then you must stop."

You must stop. 

300

Write the following as a conditional. 

"Quadrilaterals have four sides."

If a figure is a quadrilateral, then it has four sides. 

400

Write the following as a conditional. 

"Apples grow on trees."

If a fruit is an apple, then it grows on a tree.

500

Write the following statements as a bi-conditional. 

"If points lie on the same line, then they are collinear." 

"If points are collinear, then they lie on the same line."

Points lie on the same line IFF they are collinear.

Converse/Inverse/Contrapostives

100

Write the CONVERSE of the conditional statement. 

"If an integer ends in 0, then it is divisible by 2."

If an integer is divisible by 2, then it ends in 0. 

200

What it the truth value of the CONVERSE? 

"If an integer is divisible by 2, then it ends in 0." 

FALSE

300

Write the INVERSE of the conditional statement. 

"If an integer ends in 0, then it is divisible by 2."

If an integer does not end in 0, then it is not divisible by 2.

400

What is the truth value of the INVERSE? 

"If an integer does not end in 0, then it is not divisible by 2."

FALSE

500

Write the CONTRAPOSITIVE of the conditional statement. 

"If an integer ends in 0, then it is divisible by 2."

If an integer is not divisible by 2 then it does not end in 0. 

Proof Properties

100

Name the Property to get to the next step: 

7y = -21

y = -3

Division Property

200

Name the Property to get to the next step: 

2m - 5 = 7

2m = 12

Addition Property

300

Name the Property to get to the next step: 

3x + 8 = 23

3x = 15

Subtraction Property

400

Name the Property to get to the next step: 

4(w - 5) = 16 

4w - 20 = 16

Distributive Property

500

Name the Property to get to the LAST step: 

18 = 9a 

2 = a

a = 2

Symmetric Property

Counterexamples

100

Find a counterexample for: 

"An angle that is acute is 50 degrees."

Any angle less than 90 degrees that is not 50 degrees. 

200

Find a counterexample for: 

"When it rains, it pours."

A light rain or drizzle. 

300

Find a counterexample for: 

"The sum of a negative and a positive number is always negative."

-2 + 3 = 1

*Any example where the answer is positive.

400

Find a counterexample for: 

"All balls are spheres."

A football

500

Find a counterexample for: 

"Odd whole numbers less than 8 are prime."

1 is not prime.