Unit 1
Which of the following lines is parallel to the line y = 2x + 3?
y = -1/2x + 5
y = - 2x + 4
y = 1/2x - 3
y = 2x + 3/4
y = 2x + 3/4
If an angle measures 45 degrees, what is the measure of its supplement?
135 degrees
What type of angles are ALWAYS congruent?
vertical angles
What is the sum of exterior angles for a 34-gon?
360
1
What is the perpendicular slope to the line y = -3x + 1
m = 1/3
Write the converse to the following statement: If an angle measures 105 degrees, then it is obtuse
If an angle is obtuse, then it measures 105 degrees.
What type of angles are always supplementary?
Linear Pairs
What is the sum of interior angles for a decagon?
1,440
2
2
Find the midpoint of the following two points (3,4) and (-1,5)
(1, 9/2)
Provide a counterexample to the following statement: If a triangle's interior angles add to 180, then it is a regular triangle.
EX: could have scalene triangle whose interior angles add to 180 degrees.
If two parallel lines are cut by a transversal, Name all angle relationships that are congruent.
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
What is each interior angle in a regular pentagon?
108 degrees
3
Simplify the following radical: sqrt (80)
4 sqrt (5)
Provide the Reason for the following statement: the measure of angle ABC + the measure of Angle CBD = the measure of angle ABD
Angle Addition Postulate
If two parallel lines are cut by a transversal, Name all angle relationships that are supplementary
Same-Side Interior Angles
Same-Side Exterior Angles
Can the following 3 sides make a triangle? why or why not?
4,5,8
YES - 4 + 5 is greater than 8
4
4
Find the distance between the following points: (2,3) and (4,5)
2 sqrt (2)
48 degreees
"If two parallel lines are cut by a transversal, then all angle relationships that relate two angles on the same side of the transversal add up to 180"
False - Corresponding Angles
If two sides of a triangle are 2 and 5, what is the range of possible values for the third side?
3 < x < 7
5
5