Show:
Slope!
One Line to Another
True or False and Why?
The Perfect "Pairs"
100
Find the slope of the line that passes through (1, 2) and (9, 10).
The slope is 1!
100
Find the slope of the line parallel to y=7x-2.
m=7
100
The corresponding angles postulate says that the measures of corresponding angles are congruent.
True! This is true by the definition of the corresponding angles postulate!
100
What line is the transversal (See diagram on white board)?
Line AB (Two sided arrow needed for notation)!
200
Find the slope of the line that passes through the two points (-5, -4) and (-1, -2).
The slope is 1/2!
200
Write the equation of a line parallel to y=7x+2.
y=7x+b, where b does not equal 2!
200
The slopes of two coinciding lines is different, but the y-intercept must be the same.
False! The slopes and y-intercepts of two coinciding lines must be equal!
200
Name two alternate-interior angles (See diagram on white board).
Multiple answers.
300
Given the equation y=(-5)x-12 write an equation of a line that is perpendicular to this line.
y=mx+b where m=(1/5) and b=(Any #)
300
Do the following equations, y=1/2x+3 and 5(y-3)=(5/2), represent two parallel, intersecting, or coinciding lines?
They are coinciding lines!
300
Given a transversal that cuts two parallel lines, the sum of two same-side interior angles is 180 degrees. The sum of two same-side exterior angles is also 180 degrees.
True. This is true because of the corresponding angles postulate. However just remember, "S"ame-"S"ide="S"upplementary.
300
Name two same-side exterior angles. Also give the sum of the two angles you choose.
Multiple answers. The angle sum of two same-side exterior angles is 180°!
400
Find the slope of the perpendicular bisector to the segment connecting the points (1, 5) and (-1, -5).
-1/5
400
Write an equation in slope-intercept form that contains the points (2, 5) and (3, 7).
y=2x+1
400
The measure of angle C is 28° and the measure of angle D is also 28°. Angles C and D could be corresponding, alternating interior, alternating exterior, or vertical angles.
True! Corresponding, alternate interior, and alternate exterior angles are congruent so long as they are formed by parallel lines; and vertical angles are always congruent!
400
Name two different pairs of same-side interior angles. Also give the sum of each pair of the angles you choose.
Multiple answers. The angle sum of two same-side interior angles is 180°!
500
Given the points (-2, 4) and (2, 5) find the equation of the perpendicular bisector to the segment connecting these points.
The line in point-slope form is: y=-4(x-0)+0 Which can be simplified to: y=-4x
500
Do the segments connecting the points, A(2, 5), B(-3, 3), and C(-1, -2), make up a right triangle? Hint: Use slope!
Yes, the segments connecting A, B, and C make up a right triangle! Slope of segment AB=2/5, slope of segment BC=-5/2, slope of segment AC=7/3!
500
Two alternate interior angles are congruent.
False. The statement is only true when the transversal cuts two parallel lines!
500
If angle 1 has a measure of (2x+60)° and angle 4 has a measure of (4x+20)° find the angle measure of angle 5 and angle 7.
The measure of angle 5=100° The measure of angle 7=80°