Vocabulary
Any line that intersects two or more coplanar lines.
What is a transversal
“If two angles form a linear pair, then they are supplementary”
Write the inverse.
"If two angles do not form a linear pair, then they are not supplementary."
Two angles are congruent. The measure of the first angle is 42 degrees, what is the measure of the second angle
What is 42
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship
What is supplementary
If a transversal cuts two parallel lines, how many angle measures do you need to know to figure out all 8 angle measures in the figure.
What is 1.
Two angles whose measures add up to 180 degrees
What are supplementary angles
“If two angles form a linear pair, then they are supplementary”
Write the contrapositive.
If two angles are not supplementary, then they do not form a linear pair.
What is the relationship between angles 4 and 5?
What are Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are ________.
What is congruent
Given that l || m, what is the relationship between ∠1 and ∠6
There is no relationship.
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.
If two angles are complementary, then the sum of their measures is 90 degrees.
Write the converse.
If two angles' measures is 90 degrees , then they are complementary.
If the measure of angle 8 is 112, what is the measure of angle 6?
What is 68.
To prove that lines are parallel one must understand that same side interior angles are __________.
What is supplementary
For a proof, what is the reason for angles 1 and 8 being congruent.
Alternate exterior angles
Congruent angles formed by two intersecting lines
What are Vertical Angles.
If a polygon does not have four right angles, then it is not a square. (This is contrapositive)
Write the conditional (original) statement.
If a polygon is a square, then it has four right angles.
What is the realtionship between angles 1 and 4?
What are Vertical Angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 7?
What is 30 degrees.
If the measure of ∠3 is 150 and the measure of ∠6 is 3x, what is the value of x and what is the measure of <7?
What is ∠7=150; and 3x=150, x=50
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.
What are Alternate Interior Angles.
If a polygon does not have four right angles, then it is not a square. (This is contrapositive)
Write the bi-conditional statement of the conditional statement.
A polygon is a square if and only if they have four right angles.
If the measure of anlge 1 is 37 degrees, what is the measure of angle 8? What is the angle relationship
What is 37 degrees, Alternate Exterior
Given that l || m, m∠1=98°, then the measures of ∠3 and ∠8 are:
What is ∠3=82 and ∠8=98 respectively
If the measure of ∠4 is 8x+35 and the measure of ∠6 is 2x+5, then find the value of x and find the measure of ∠8?
What is 8x+35+2x+5=180 10x+40=180 10x=140 x=14 Now plug into ∠4 because it is congruent (corresponding) to ∠8. 8(14)+35=147 so ∠8=147.