Geometry Midterm

Points

Dots but with no size. named with capital letters

Lines

Straight and expand forever with no thickness. named with two points or a single lowercase letter

Planes

Check photo

Collinear/ noncollinear

Planes called this if they are all on the same line; two points are always this

Congruent

Two figures that are identical in shape and size

Segment

Part of a line that begins at one point and ends at another

Ray

Is a part of a line that starts at a point and extends indefinitely

Midpoint

Divides the segment into two congruent segments

Alternate Interior

Nonadjacent interior angles that lie on opposite sides of the transversal

Alternate Exterior

Non adjacent exterior angles that lies on opposite sides of the transversal

Same side Interior Angles

Angles that lay on the same side of the transversal

Corresponding Angles

Lie on the same side of the transversal and in corresponding positions

Parallel

Two sides that never intersect, they are also equal.

Perpendicular

Lines that intersect at a 90 degree angle

Conditional

If then statements

Converse

A conditional statement where the hypothesis and conclusion are exchanged

Inverse

A conditional statement where the hypothesis and conclusion are negated

Contrapositive

A conditional statement where the hypothesis and conclusion are exchanged and negated

Triangle definition

Closed two dimensional shape with three sides three angles and three vertices

SSS

Side Side Side

AAS

Angle Angle Side

HL

90 Degree Angle congruency

CPTC

Corresponding parts of ~= triangles are ~=

Scalene

No parts of the triangle are equal

Isosceles

Two parts are equal

Equalateral

All sides are equal

Acute

Less than 90

Obtuse

More than 90 but less than 180

Right angle

angle equal to 90

Vertical Angles

See photo

Complementary

Equal to 90

Supplementary

Equal to 180

Transitive

If two geometric figures are equal to a third figure then they are also equal each other

Substitution

If two things are congruent you can replace it with the other

Triangle

3 sided shape

Quadrilateral

4 sides

Pentagon

5 sides

Hexagon

6 sides

Heptagon

7 sides

Octagon

8 sides

Nonagon

9 sides

Decagon

10 sides

Altiude

Is the perpendicular segment from a vertex to the line that contains the opposite side

Median

Is a segment from a vertex to the midpoint of the oppisite side

Perpendicular Bisector

A line (or ray or segment) that is perpendicular to the segment at its midpoint

Angle Bisector

see photo

Hypotonuse

Longest side of a right triangle

Interior Angles

see photo

Exterior Angles

see photo

Biaectors

Cuts angle in half

Reflexive

Any geometric object such as an angle, line segment, or shape is congruent to itself