Points, Lines, and Planes
Name the following:
A
point A
Complementary angles equal?
90 degrees
Find the coordinates of the midpoint:
P(0,0); Q(4,6)
(2,3)
What are parallel lines?
Two lines that lie on the same plane and so not intersect.
Draw a set of parallel lines and a transversal. Show all congruent angles created.
vertical, corresponding, alternate interior, alternate exterior
How would you write line AB using symbols
capital AB with a line with arrows on both end over it
Supplementary angles equal?
180 degrees
Find the coordinates of the midpoint:
P(3,8); Q(7,6)
(5,7)
Two lines that intersect to form a right angle.
Draw a set of parallel lines and a transversal. Show all angles that are supplementary.
same side interior, and adjacent angles that form a straight line.
How would you write a ray with points C and D on it?
capital CD with a line above it that has a point on the left side and arrow on the right.
If angles 1 and 2 are supplementary and angle 1 measures 55 degrees, what is the measure of angle 2?
125 degrees
Find the coordinates of the midpoint:
P(-4, 4); Q(4,0)
(0,2)
What are skew lines?
Two lines that do not lie on the same plane.
Draw a set of parallel lines and a transversal. If angle 1 is the top left angle and it measures 43 degrees, find the measures of the 7 other angles created by the parallel lines and transversal
43 degrees and 137 degrees
How would you write a line segment that contains points E and F
capital EF with a line above it that had endpoints at each end
What are three ways you can name an angle?
vertex
three points, vertex in the middle
number
Find the coordinates of the midpoint:
P(3,2); Q(-7, -4)
(-2,-1)
Draw a cube. Name a set of parallel lines.
Any two vertical edges or horizontal edges.
Draw a coordinate plane and graph a triangle with the following vertices: (2,1); (0,0); (1,3), then translate the figure using the following (x,y) --- ( x + 2, y -1)
see diagram
new vertices: (4,0); (2,-1); (3, 2)
What does collinear and coplanar mean?
same line
same plane
What is an angle bisector?
A ray that breaks an angle into 2 congruent pieces.
Find the coordinates of the midpoint:
P(-12, 0); Q(6,1)
(-3, 0.5)
Draw a cube, name two lines that are skew.
Any combination of vertical and horizontal lines that are not on the same plane.
What does the Triangle Sum Theorem tell us?
The sum of the angles of a triangle is 180 degrees