What is a transversal
Any line that intersects two or more parallel lines.
Parallel lines
Straight lines that never intersect
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
What is 42
If a pair of adjacent angles are formed by intersecting lines, what is their relationship?
What is supplementary
If a transversal cuts two parallel lines, how many angles are formed?
What are 8
What are supplementary angles?
Two angles whose measures add up to 180 degrees
Complementary Angles
Two angles whose measures add up to 90
What is the relationship between angles 3 and 6 ?
What are Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are (complementary, supplementary, or congruent)
What is congruent
When two parallel lines are cut by a transversal, how many unique angles are formed?
What is two
When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.
What are Corresponding Angles.
adjacent, supplementary angles
angles that share a common side and vertex, do not overlap, and the sum is 180 degrees
If the measure of angle 4 is 112, what is the measure of angle 6?
What is 68. (same-side interior angles)
To prove that lines are parallel one must understand that same side interior angles are. (complementary, supplementary, or congruent)
What is supplementary
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?
What is 4x-6=122 +6 +6 4x=128 x=32
What are vertical angles?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
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.
What is the relationship between angles 5 and 8?
What are Vertical Angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 6?
What is 30.
If the measure of angle 6 = 75 and the measure of angle 7=3x, what is the value of x?
What is angle H=105; and 3x=75 x=25
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.
Same-side interior angles
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and on the same side of the transversal.
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.
Given that a || m, measure of angle 5=98°, then the measures of angles 3 and 4 are:
What is angle 3 =82 degrees and angle 4= 98 degrees
If the measure of angle 4= 5x+3 and the measure of angle 6= 8x-5, then find the value of x and find the measure of angles 4& 6?
What is 5x+3+8x-5=180 13x-2=180 13x=182 x=14 Angle 4=5(14)+3=73 degrees Angle 6= 8(14)-5=107 degrees