General Geometry Midterm Review

Points, Lines, and Planes

100

Name the following:

A

point A

200

How would you write line AB using symbols

capital AB with a line with arrows on both end over it

300

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.

400

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

500

What does collinear and coplanar mean?

same line

same plane

Angles

100

Complementary angles equal?

90 degrees

200

Supplementary angles equal?

180 degrees

300

If angles 1 and 2 are supplementary and angle 1 measures 55 degrees, what is the measure of angle 2?

125 degrees

400

What are three ways you can name an angle?

vertex

three points, vertex in the middle

number

500

What is an angle bisector?

A ray that breaks an angle into 2 congruent pieces.

Midpoints

100

Find the coordinates of the midpoint:

P(0,0); Q(4,6)

(2,3)

200

Find the coordinates of the midpoint:

P(3,8); Q(7,6)

(5,7)

300

Find the coordinates of the midpoint:

P(-4, 4); Q(4,0)

(0,2)

400

Find the coordinates of the midpoint:

P(3,2); Q(-7, -4)

(-2,-1)

500

Find the coordinates of the midpoint:

P(-12, 0); Q(6,1)

(-3, 0.5)

Parallel, Perpendicular, and Skew

100

What are parallel lines? 

Two lines that lie on the same plane and so not intersect.

200

What are perpendicular lines?

Two lines that intersect to form a right angle.

300

What are skew lines?

Two lines that do not lie on the same plane.

400

Draw a cube. Name a set of parallel lines.

Any two vertical edges or horizontal edges.

500

Draw a cube, name two lines that are skew.

Any combination of vertical and horizontal lines that are not on the same plane.

Miscellaneous

100

Draw a set of parallel lines and a transversal. Show all congruent angles created.

vertical, corresponding, alternate interior, alternate exterior

200

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.

300

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

400

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)

500

What does the Triangle Sum Theorem tell us?

The sum of the angles of a triangle is 180 degrees