Go To The Head of the Class-- Review Game

Rules: A question starts with a player. If that player answers correctly he/she keeps his/her seat.

If the player misses, then the question goes to the next player. If missed, it goes to the next player...

…and continues until someone gets it correct. That student moves to the seat where the question started...

…and everyone who missed the question moves back one seat.

The object of the game is to occupy and keep the #1 seat.

Questions with a limited number of possible responses will not be offered indefinitely. A substitute question will be posed.

It is important to listen to previous responses. They will not be repeated for you.

The first person to receive a question will have a maximum of 30 seconds to answer.

Every person after that has only 10 seconds to reply. Be ready when called upon.

If the question is on a yellow screen, expect to solve a problem. Have calculator, paper & pencil ready.

If the background is orange, name the definition, property, theorem, etc, that supports the given conclusion.

If the question is on a green screen, it requires just a short answer.

Time to Play:

READY? (begin)

1 2 Then

The Supplement Theorem (The angles in a linear pair are supplementary.)

1 2 Then

The Vertical Angles Theorem: Vertical Angles are congruent.

If and are right angles, then

The Right Angle Theorem: All Right angles are congruent.

Two angles are complementary. One is 32 degrees. What is the measure of the other one?

ANSWER: 58 degrees

What do we call 2 non-adjacent angles that are formed when 2 lines intersect?

Answer: Vertical Angles

Two angles are supplementary. One angle is 73 degrees, find the measure of the other one.

Answer: 107 degrees

What do we call 2 lines that intersect to form right angles?

Answer: Perpendicular Lines

Complete this theorem: If 2 angles are complementary to the same angle…...

Answer: … then they are congruent to each other.

Remember the “Key” to setting up equations in Geometry...

You usually do one of 2 things… - Set two expressions equal to each other Or….

-Add expressions together and set their sum equal to something else.

8x+25 4x -1 Find x

Answer: 8x x - 1 = x+24=180 12x=156 x=13

7x-10 5x+12 Find x

Answer: 7x-10 = 5x x-10 = 12 2x = 22 x = 11

According to the Supplement Theorem, what kind of angles are supplementary?

Answer: The angles in a Linear Pair

Complete this Theorem: If 2 lines intersect to form congruent adjacent angles, then….

…then the lines are perpendicular.

Angle A is 30 degrees. Angle B is complementary to Angle A. Angle C is complementary to Angle B. Find the measure of Angle C.

Answer: Angle C is 30 degrees.

Angle A is 40 degrees. Angle B is complementary to Angle A. Angle C is supplementary to Angle B. Find the measure of Angle C.

Answer: Angle C is 130 degrees. A= 40 => B= 50

If and are supplementary, then

The Definition of Supplementary Angles

If then is a right angle.

The Definition of Right Angle

1 If is a right angle, then the lines are perpendicular.

The Definition of Perpendicular lines.

If and are complementary, and and are complementary, then

Congruent Complements Theorem: If 2 angles are complementary to the same angle, they are congruent to each other.

If and are complementary, then

The Definition of Complementary Angles

The Supplement Theorem: The angles in a _____ ____ are supplementary. x y Linear Pair

_______ angles are congruent. Vertical

COMPLETE: When 2 parallel lines are cut by a transversal... Corresponding Angles are congruent Alternate Interior Angles are congruent Alternate Exterior Angles are congruent Consecutive Interior Angles are supplementary

COMPLETE: When 2 lines are cut by a transversal so that... Corresponding Angles are congruent Alternate Interior Angles are congruent Alternate Exterior Angles are congruent Consecutive Interior Angles are supplementary … Then the lines are parallel.

+ = 180

According to their definition, ____________ intersect to form right angles. Perpendicular lines

What term describes the two lines? Parallel

What term describes the two lines? Skew

Identify the type of angles pictured

Corresponding Angles

Alternate Exterior Angles

Consecutive Interior Angles

Alternate Interior Angles

Vertical Angles

Corresponding Angles

A Linear Pair

r s p The Perpendicular Transversal Converse Theorem

Alternate Interior Angles Converse Theorem rsrs

r s p Consecutive Interior Angles Theorem

r s p Corresponding Angles Postulate

r s p The Supplement Theorem

Alternate Exterior Angles Converse Theorem rsrs

r s p Vertical Angles Theorem

r s p Consecutive Interior Angles Converse Theorem

r s p Alternate Exterior Angles Theorem

r s p Corresponding Angles Converse Post.

r s p The Perpendicular Transversal Theorem

Some Miscellaneous questions…

Which 2 lines are parallel?

Which 2 lines are perpendicular?

What kind of line has a slope of zero? Horizontal

Find the slope of the line containing the points (3,4) and (0,0):

Find the slope of the line containing the points (0,4) and (0,0): Undefined

Find the slope of the line containing the points (-2,5) and (0,0):

r s p x 75 o =75 o

r s p x =55 o 55 o

x 65 o 115 o =

r s p x 45 o =135 o

r s t p 110 o 60 o 70 o Which lines are parallel?

r s t p 110 o 60 o 70 o Which lines are parallel? 70 o

Remember the “Key” to setting up equations in Geometry...

You usually do one of 2 things… - Set two expressions equal to each other Or….

-Add expressions together and set their sum equal to something else.

Find x 3x o 6x o

6x+3x=180 x=20 3x o 6x o

(3x+10) o X o FIND X

(3x+10) o X o 3x+10+x=90 4x=80 x=20 =70 =20

7x+4 9x-12 Find x

7x+4 9x-12 Find x 7x+4=9x-12 16=2x 8=x 60= = 60

9x-12 Find x 10x+2 9.

9x-12 Find x 10x+2 10x-2+9x-12=180 19x-10=180 19x=190 x=10 =102 =78

What kind of triangle has sides of… 4 in., 6 in. and 3 in.? SCALENE

What kind of triangle has Angles of… 90 o, 70 o, 20 o.? 90 o, 70 o, 20 o.? RIGHT

What kind of triangle has sides of… 5 in., 5 in. and 3 in.? ISOSCELES

What kind of triangle has Angles of… 50 o, 60 o, 70 o.? 50 o, 60 o, 70 o.? ACUTE

What kind of triangle has Angles of… 60 o, 60 o, 60 o.? 60 o, 60 o, 60 o.? EQUIANGULAR

What kind of triangle has Angles of… 150 o, 10 o, 20 o.? 150 o, 10 o, 20 o.? OBTUSE

What kind of triangle has sides of… 5 in., 5 in. and 5 in.? EQUILATERAL

What kind of triangle has Angles of… 150 o, 160 o, 170 o.? 150 o, 160 o, 170 o.? NO SUCH TRIANGLE

What do we call the congruent sides of an Isosceles Triangle? The LEGS

If  ABC has a right angle at B, which side is the Hypotenuse?

Which triangle is Impossible? EQUIANGULAR OBTUSE SCALENE ISOSCELES RIGHT EQUILATERAL ALL THREE!!

Fill in the blank:

When referring to angle 5, what do we call ? REMOTE INTERIOR ANGLES

Fill in the blank:

If this triangle is Equiangular:

Set up the equation needed to solve the for x:

Set up the equation needed to solve for x:

Given the two triangles are congruent, complete the following:

Which postulate, if any, could be used to prove the triangles are congruent? SAS

Which postulate, if any, could be used to prove the triangles are congruent? SSS

Which postulate, if any, could be used to prove the triangles are congruent? NONE

ASA Which postulate, if any, could be used to prove the triangles are congruent?

What additional information is needed to prove by SSS if you already Know:

What additional information is needed to prove by SAS if you already Know:

What additional information is needed to prove by ASA if you already Know:

THE END