geometry review

Points, Lines, and Planes

1-1

• a point indicates a location and has no size

• points that lay on the same line are colinear

• a segment is a part of a line that has two endpoints

• the postulate axiom is an accepted statement of fact

1-1

notice how plane N has two lines; line s and line r. also notice the different segments such as BD or AC

Segments and Distance

1-2

• segment addition postulate (AB+BC=AC)

• distance is the length between two points

• use measuring to determine how far apart two geometric shapes are

• if a line is vertical find the change in y coordinates, if it is horizontal look at the x's.

1-2

Angles and Measurements

1-3

• an angle is formed when two rays share the same endpoint, which is called a vertex

• right angles are formed when an angle measures 90°

• acute angles are formed when an angle measures between 0° and 90°

• obtuse angles are formed when an angle measures between 90° and 180°

1-3

the angle addition postulate states that the measure of any angle can be found by adding the measures of the smaller angles that are in it

Midpoints and Bisectors

1-4

• a midpoint is a point on a line segment that divides it into two congruent segments

• a segment bisector is a line, segment, or ray that passes through the midpoint of another segment

• a perpendicular bisector is a line, ray or segment that passes through the midpoint of another segment and creates a 90° angle

• an angle bisector is a ray that divides an angle into two congruent angles, which both have half the measure of the original angle (construction shown in lesson three)

1-4

Angle Pairs

1-5

• a complementary angle is formed when two angles sum in 90°

• supplementary angles are formed when two angles sum is 180°

• adjacent angles are two angles that have the same vertex, share a side, and do not overlap

• linear pairs are two angles that are adjacent and whose non-common sides form a straight line

• vertical angles are two non-adjacent angles formed by intersecting lines

• if two angles are vertical, they are congruent

1-5

identify the angle pairs shown

• a right triangle has one right angle and two acute angles

• an acute triangle

Classifying Polygons

1-6

1-6

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