TOPIC 1- REVIEW

Measuring Segments & Angles

100

If A lies on -10 and B lies on 5. What is the distance from A to B?

15

200

If angle 1 is a right angle and angle 2 is 43, what is the sum of their angles?

133

300

If points C, D, and E are on a line and CD=20 and CE=32, what is the value of DE? 

12

400

Point Y is in the interior of ∠XWZ. Given that WX and WZ are opposite rays and m∠XWY=4(m∠YWZ), what is m∠YWZ?

36

Basic Constructions

100

Assume FG and HI are perpendicular and J is where they intersect. Is HJ=JI a correct statement?

yes

200

Assume the segment AB has already been constructed. What is the first step to construct the segment XY?

Draw a ray and label the endpoint X or Y.

300

Assume the segment AB has already been constructed. What is the second step to construct the segment XY?

Open the compass to the length of AB.

400

What is the final step of the construction?

With the same compass setting, put the compass point on the endpoint of the construction in the first step and draw an arc that intersects the ray. Label the intersection X or Y depending on the name of the other endpoint.

Midpoint & Distance

100

What is the midpoint & distance formula

m= (x₁ + x₂/2 _, y₁ + y₂/2₎ 

d=(the square root of) (x_2-x₁)² +(y₂-y₁)²

200

What is the midpoint of (4,12) & (9,18)

(6.5, 15)

300

What is the distance of (2,11) & (7,16)

7.07

400

The coordinates of the endpoints of CD are C(–6,–1) and D(6,5). Point E is on CD and divides it such that CE:DE is 1:5.What are the coordinates of E? 

(-4,0)

Conditional Statements & Deductive Reasoning

100

Write the following statement in the "if-then" form.

A side of a square measures 2 yards if the side's measure is 72 inches.

If the side's measure is 72 inches, then the side of a square measures 2 yards.

200

If a conditional statement and its hypothesis are true, then....

its conclusion is also true

300

Write the converse, inverse, and contrapositive of the given conditional statement below. If I am in Florida, then I am in the South.

Converse: If I am in the South, then I am in Florida.

Inverse: If I am not in Florida, then I am not in the South.

Contrapositive: If I am not in the South, then I am not in Florida. 

400

If p-->q and  q-->r are true, then...

p-->r is true

Proofs

100

In a two column proof, what step comes first?

What is given

200

What other form of a proof can be created from a two column proof?

Paragraph 

300

This is the postulate that adds two angles together.

Angle addition postulate. 

400

What is the type of reasoning in proofs?

What is deductive reasoning?