Vocab
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
The three angles in any triangle has a SUM that add up to ______ degrees.
180 degrees
43 degrees
23 degrees
Find the measure of the third angle.
114 degrees
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
A line crosses the point (4, 10)
Solve for the y-intercept, b on the equation below.
y = 2x + b
b = 2
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
Angle 3 and Angle 4 make a straight line.
Angle 3 measures 60 degrees.
What is the measure of <4?
=120 degrees
Solve for the missing side length. Round your answer to the nearest tenth place.
13/27 = 21/X
43.6
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
A line crosses the point (4, 15)
Solve for b on the equation below.
y = 2x + b
b = 7
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
31.5 degrees + 90 degrees + X = 180
What is the missing angle?
58.5 degrees
Angle ABC is supplementary with Angle DEF.
ABC = 61 degrees
Find the measure of Angle DEF.
119 degrees
3x = 2x + 24
solve for x
x=24
A line crosses the point (-12, 20)
Solve for the y-intercept, b on the equation below.
y = 5x + b
b = 80
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
<1 and <2 are Alternate interior angles
<1 = 115 degrees
What is the measure of Angle 2?
115 degrees
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
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
A line crosses the point (-8, -8)
Solve for the y-intercept, b on the equation below.
y = 3x + b
b = 16
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
<1= 2X
<2= 2x
<3= X
2x + 2X + x = 180 degrees
Solve for x
x=36
4x + 4 = 5x - 8
Solve for x
x=12
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
A line crosses the point (-9, -2)
Solve for the y-intercept, b on the equation below.
y = -0.5x + b
b = 2.5