High School Geometry Review

Angles

100

What do we call two angles that form a 180 degree angle?

Supplementary

200

∠A and ∠B are complementary.

If m∠A=(4x+6)º and m∠B=(5x+3)º, then x = ___?

x=9

300

Angle 1 and 2 are supplementary. m∠1=(6x+26)º and m∠2=(9x+4)º

What is m∠2?

94º

400

→

EG bisects ∠DEF. If m∠DEG=(3x+7)º and

m∠DEF=(4x+34)º, then m∠GEF = ____?

37º

500

Find the value of x if angles 1 and 2 are linear pairs. m∠ 1=3x-35  and m∠ 2=4x+110

x = 15

Definitions, Theorems, Postulates

100

__　　___　　__

PQ + QR = PR

Segment Addition Postulate

200

∠3 ≅ ∠4 then ∠4 ≅ ∠3

Symmetric Property of Congruence

300

If m∠3 = 90, then ∠3 is a __________

right angle

400

If AB=3 and MN=3 then AB=MN

Substitution Property of Equality

500

If AB=CD and CD=DF then AB=DF

Transitive Property of Equality

Lines

100

What is a line called if it has only one endpoint and how is it notated?

Ray

200

If Q is between A and M and MQ = 7.3 and AM = 8.5, then QA = ___?

1.2

300

Determine the slope of the line that

contains the points (1, 5) and (-2, 7).

-2/3

400

Point E is between points G and T.

GE = 2x, ET = 3x-1, and GT = 14.

What is the value of x?

3

500

Calculate the distance between points (-4, 2) and (15,6).

　___
√377 = 19.4

Conditional Statements

100

If an animal is a cat, then it has whiskers.

State the conclusion.

it has whiskers.

200

If an animal is a cat, then it has whiskers.
State the inverse.

If an animal is not a cat then it does not have whiskers

300

If an animal is a cat, then it has whiskers.

State the converse.

If an animal has whiskers, then it is a cat.

400

If an animal is a cat, then it has whiskers.
State the contrapositive

If it does not have whiskers, then an animal is not a cat.

500

State the inverse:

4≤x<10

4>x≥10

???????

100

What is the formula for area of a circle?

pi*radius squared

200

What is a line called that meets a circle at exactly one point on its circumference?

Tangent Line

300

Find the midpoint of the line segment with the given endpoints.
(2,-1) (-4,-3)

(-1,-2)

400

What is the definition of a chord?

A segment that connects two points on the circumference of a circle.

500

Find the other endpoint of the line segment - -
Endpoint: (-1, 9)
Midpoint: (-9,-10)

(-17,-29)