Vocabulary
Drawing
Angle Relationships
Prove It
Solve it
100
What is a transversal?
Any line that intersects two or more parallel lines.
100
Parallel lines
Straight lines that never intersect
100
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle?
What is 42
100
Given Angle 3 = 40 degrees
Prove that Angle 2 = 40 degrees
Angle 3 and angle 2 are vertical angles
Vertical angles are congruent
Angle 3 = angle 2
40 = angle 2
100
If angle 1 is 55 degrees, draw and find ALL ANGLES.
Angle 1, 4, 5, and 8 are 55 degrees.
Angle 2, 3, 6, and 7 are 125 degrees.
200
What are supplementary angles?
Two angles whose measures add up to 180 degrees
200
Complementary Angles
Two angles whose measures add up to 90
200
What is the relationship between angles 3 and 6 ?
What are Alternate Interior Angles.
200
Angle 3 measures 40 degrees.
Prove that angle 5 measures 140 degrees
Angle 3 and Angle 5 are same side interior angles
Same side interior angles are supplementary
angle 3 + angle 5 = 180
40 + angle 5 = 180
so angle 5 must be 140 degrees
200
If angle 1 is 2x and angle 4 is 90 - x, find the value of x.
x = 30
300
What are angles that add up to 90 degrees?
Complementary angles
300
Vertical Angles
Angles that are straight across on a pair of intersecting lines.
300
If the measure of angle 4 is 112, what is the measure of angle 6?
What is 68. (same-side interior angles)
300
Angle 8 measures 50 degrees.
Prove angle 4 measures 50 degrees.
Angles 4 and 8 are corresponding angles
Corresponding angles are congruent
Angle 8 = angle 4
50 = angle 5
300
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?
x=32
400
Tell me two things about vertical angles.
Congruent angles formed by two intersecting lines. These angles are located across from each other.
400
Alternate Exterior Angles
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal. 1&8, 2&7
400
What is the relationship between angles 5 and 8?
What are Vertical Angles.
400
Given: Angle 2 measures 30 degrees
Prove angle 4 measures 150 degrees
Angle 2 and Angle 4 are a linear pair
Linear pairs are supplementary
Supplementary angles add up to 180 degrees
angle 2 + angle 4 = 180
30 + angle 4 = 180
Angle 4 = 150
400
Angles 6 and 7 are vertical angles. If the measure of angle 6 is 75 and the measure of angle 7 is 3x, what is the value of x?
x=25
500
What are Alternate Interior Angles?
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
500
Corresponding Angles
Angles 1&5, 2&6, 3&7, and 4&8 are corresponding angles
500
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
What is 37 and Alternate Exterior.
500
Angle 5 is 98. Prove the measures of angle 4 also 98.
Angles 4 and 5 are alternate interior angles
alternate interior angles are congruent
angle 4 = angle 5
angle 4 = 98
500
If the measure of angle 4= 5x+3 and the measure of angle 6= 8x-5, find the measure of angles 4 & 6?
Angle 4 is 73 degrees. Angle 6 is 107 degrees.