8th Grade: Angle Relationships; Pythagorean Theorem; Y=mx+b

Vocab

100

The two angles that are formed when two lines crossed and are opposite to each other and are congruent in measure.

(Angle Relationships:

Vertical angles, alternate angles (exterior or interior), corresponding angles, transversal, supplementary angles)

Vertical Angles

200

Two angles that form a straight line whose sum is 180 degrees.

(Angle Relationships:

Vertical angles, alternate angles (exterior or interior), corresponding angles, transversal, supplementary angles)

Supplementary Angles

300

A pair of angles that lie on opposite sides of the transversal, are outside the two parallel lines, and are congruent.

(Angle Relationships:

Vertical angles, alternate angles (exterior or interior), corresponding angles, transversal, supplementary angles)

Alternate Exterior Angles

400

A pair of angles that are congruent and are matching from one set of angles to another set of angles.

(Angle Relationships:

Vertical angles, alternate angles (exterior or interior), corresponding angles, transversal, supplementary angles)

Corresponding Angles

500

A line that intersects two or more other lines

(Angle Relationships:

Vertical angles, alternate angles (exterior or interior), corresponding angles, transversal, supplementary angles)

Transversal line

Angle Relationships and missing angle measure

100

The three angles in any triangle has a SUM that add up to ______ degrees. 

180 degrees

200

Angle 3 and Angle 4 make a straight line.

Angle 3 measures 60 degrees.

What is the measure of <4? 

=120 degrees

300

31.5 degrees + 90 degrees + X = 180

What is the missing angle? 

58.5 degrees

400

<1 and <2 are Alternate interior angles

<1 = 115 degrees

What is the measure of Angle 2?

115 degrees

500

<1=  2X

<2=  2x

<3= X

2x + 2X + x = 180 degrees

Solve for x

x=36

Missing Angle Measure

100

43 degrees

23 degrees

Find the measure of the third angle.

114 degrees

200

Solve for the missing side length. Round your answer to the nearest tenth place.

13/27 = 21/X

43.6

300

Angle ABC is supplementary with Angle DEF.

ABC = 61 degrees

Find the measure of Angle DEF.

119 degrees

400

Are these two triangles with corresponding side lengths similar?  YES or NO 

Hint: Set up a proportion and then cross multiply!

ABC= 12 inches, 6 inches, 18 inches

DEF= 36 inches, 18 inches, 54 inches

YES

500

4x + 4 = 5x - 8

Solve for x

x=12

Pythagorean Theorem

100

Which one is a true statement?

A. The sum of the areas of leg A and C is equal to the area of leg B.

B. The difference of the areas of A and C is equal to the area of leg B.

C. The sum of the areas of A and B is LESS than the area of C.

B

200

A right triangle has the following side lengths:

a= 3 cm

b= X cm

c= 5 cm

Solve for the length of side b.

4 cm

300

3x = 2x + 24

solve for x

x=24

400

A right triangle has the following side lengths:

a= X cm

b= 6 cm

c= 10 cm

Solve for the length of side a.

8 cm

500

A right triangle has the following side lengths:

a= 5 cm

b= X cm

c= 13 cm

Solve for the length of side b.

12 cm

Y = mx + b

100

A line crosses the point (4, 10)

Solve for the y-intercept, b on the equation below.

y = 2x + b

b = 2

200

A line crosses the point (4, 15)

Solve for b on the equation below.

y = 2x + b

b = 7

300

A line crosses the point (-12, 20)

Solve for the y-intercept, b on the equation below.

y = 5x + b

b = 80

400

A line crosses the point (-8, -8)

Solve for the y-intercept, b on the equation below.

y = 3x + b

b = 16

500

A line crosses the point (-9, -2)

Solve for the y-intercept, b on the equation below.

y = -0.5x + b

b = 2.5