Geometry, Unit 2 Test Review

Compass

An instrument with two arms, one sharp and one with a pencil that can be used to draw circles or arcs.

Alternate Exterior angle theorem and converse

Angles that lie outside a pair of lines and on opposite sides of a transversal.

Supplementary

Two angles whose sum is 180 degrees

Complementary

Two angles whose sum is 90 degrees

Same-side Exterior Angle theorem and converse

Two exterior angles on the same side of the transversal.

Linear Angles

Two supplementary angles that are adjacent (next to each other)

Angle

A figure formed by two rays with a common endpoint

Transversal

A line that crosses at least two other lines.

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite rays.

Vertical Angles

A pair of opposite congruent angles formed by intersecting lines

Flow proof

A type of proof that uses arrows to show the flow of a logical argument

Corresponding angle postulate and converse

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent

Arc

a portion of the circumference of a circle

Two-Column Proof

a proof that lists numbered statements on the left, and corresponding numbered reasons for justification on the right

Angle Bisector

a ray that divides an angle into two congruent angles

Alternate Interior Angle Theorem and converse

angles between 2 lines and on opposite sides of a transversal

Interior Angles

angles on the inside of parallel lines cut by a transversal

Exterior Angles

angles on the outside of parallel lines cut by a transversal

Angle Addition Postulate

the measure of the larger angle is the sum of the measures of the two smaller ones.

Same-side Interior Angle theorem and converse

two interior angles on the same side of the transversal

Construction

utilize only two tools - the straightedge (an unmarked ruler) and the compass