Geometry

What is a point

A location with no size or shape

What is a line

Made up of points with no thickness or width

What is a line segment

A measurable part of a line consisting of two endpoints

What is a ray

A line that extends indefinitely in one direction

What is a plane

A flat surface made up of points and extends indefinitely in all directions

What is a postulate

A statement assumed to be true

What is the addition postulate

If points A, B, and C are on the same line with B between A and C, then a AB + BC = AC

What is the angle addition postulate

If point D is in the interior of ABC then ABD + DBC = ABC

What is the first step to copy a line segment

Use a straight edge to draw a new line. Mark a new point on this line

What is the second step to copy a line segment

keep the compass on point A and keep the compass setting to reach AB

What is the third step to create a line segment

Use the same setting, place compass on the new line and draw an arc to create a line segment

What is the first step to copy an angle bisector

Mark a new point and use the straight edge to draw a ray without an end point

What is the second step to copy an angle bisector

Place the compass on point A and draw an arc that intersects both rays

What is the third step to copy an angle bisector

Without changing the setting, place the compass on the new point and draw an intersecting arc, mark a new point on the intersection

What is the fourth step to copy a line segment

Place the compass on point c. Open the compass between B and C

What is the fifth step to copy a line segment

Without changing the setting place compass on the second point and draw an arc, label as a new point

What is the corresponding angle theorem

If the transversal intersects 2 parallel lines angles 5 and 1 are congruent

What is the alternate interior angles theorem

If the transversal intersects 2 parallel lines angles 3 and 6 are congruent.

What is the same-side interior angles theorem

If a transversal intersects 2 parallel lines angles 3 and 5 are supplementary

What is the transitive property

If a = b and b = c then a=c

What is a straight angle

A angle(s) that add up to 180 degrees

What are parallel lines

Lines which have the same slope, never cross, and stay the same distance apart

Whate are perpendicular lines

Lines which have opposite slopes, form a 90 degree angle, and always equal -1