Geometry Angles (Test 2)

Corresponding Angles

Angles formed by a transversal cutting through 2 or more lines that are in the same relative position (same side of the transversal)

Consecutive (same side) interior angles

The angles on the SAME SIDE of the transversal and BETWEEN (inside) the other 2 lines.

Consecutive (same side) exterior angles

The angles on the SAME SIDE of the transversal and NOT between (outside of) the other 2 lines.

Alternate Exterior Angles

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

Measure of Corresponding Angles

The measures of Corresponding angles are CONGRUENT if they are on PARALLEL lines cut by a transversal

Measure of Alternate Interior Angles

Pairs of alternate interior angles are CONGRUENT if they are on PARALLEL lines cut by a transversal

Measure of Alternate Exterior Angles

Pairs of alternate exterior angles are CONGRUENT if they are on PARALLEL lines cut by a transversal

Angles

2 rays joined together at the same endpoint called a vertex. Each ray is a side of the angle.

Naming an angle

You can name an angle by its 1. vertex <A
2. by a number. <1
3. three points with the vertex in the middle , <BAC, <CAB

Congruent Angles

angles that have the same measure. indicated with arc marks on an image

Angle bisector

a ray that divides an angle into two congruent angles

Angle Addition Postulate

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

part + part = whole

Adjacent Angles

Angles that have a common side and a common vertex (corner point). They are "next to" each other.

Vertical Angles

A pair of opposite congruent angles formed by intersecting lines. They are across from each other in the X.

Linear Pair Angles

two adjacent angles that together form a straight angle or a line. Together their measure is 180 degrees.

Supplementary Angles

Two angles whose sum is 180 degrees

Complementary Angles

Two angles whose sum is 90 degrees

Parallel Lines

coplanar lines that do not intersect

Perpendicular Lines

Coplanar Lines that intersect to form right angles (90 degrees)

Skew Lines

Lines that do not intersect and are not coplanar

Parallel Planes

planes that do not intersect

Transversal

a line that intersects two or more coplanar lines

Alternate Interior Angles

angles between (inside) 2 lines and on opposite sides of a transversal

Measure of Consecutive (same side) interior angles

Pairs of same side interior angles are SUPPLEMENTARY if they are on PARALLEL lines cut by a transversal

Measure of Consecutive (same side) exterior angles

Pairs of same side exterior angles are SUPPLEMENTARY if they are on PARALLEL lines cut by a transversal