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Section 1

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parallel lines

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Geometry Math

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Date created

Mar 1, 2020

Cards (46)

Section 1

(46 cards)

parallel lines

Front

lines in the same plane that never intersect

Back

Angle addition postulate

Front

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

Back

Isosceles triangle

Front

a triangle with at least two congruent sides

Back

conclusion

Front

A summary based on evidence or facts

Back

Supplementary angles

Front

Two angles whose sum is 180 degrees

Back

Regular triangle

Front

All congruent sides and angles

Back

transversal

Front

a line that intersects two or more coplanar lines at different points

Back

theorem

Front

A mathematical statement which we can prove to be true

Back

postulate

Front

something accepted as true without proof; an axiom

Back

Vertex angle

Front

The angle formed by the legs of an isosceles triangle.

Back

conditional statements

Front

A statement that can be written in if-then form.

Back

same side exterior angles

Front

two exterior angles on the same side of the transversal

Back

Segment addition postulate

Front

If B is between A and C, then AB + BC = AC

Back

Substitution property

Front

If a=b, then a can be substituted for b in any equation or expression

Back

Midpoint

Front

A point that divides a segment into two congruent segments

Back

Line segment

Front

A part of a line with two endpoints

Back

altitude of a triangle

Front

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

Back

converse of a conditional statement

Front

When the hypothesis and conclusion are switched. The converse of p ➝ q is q ➝ p. A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.

Back

Complementary angles

Front

Two angles whose sum is 90 degrees

Back

slope intercept form of a line

Front

y=mx + b (m is the slope, b is the y intercept point)

Back

Segment bisector

Front

a segment, ray, line, or plane that intersects a segment at its midpoint

Back

y-intercept

Front

The point where the graph crosses the y-axis

Back

Right triangle

Front

a triangle with one right angle

Back

Vertical Angles

Front

A pair of opposite congruent angles formed by intersecting lines

Back

deductive reasoning

Front

reasoning in which a conclusion is reached by stating a general principle and then applying that principle to a specific case (The sun rises every morning; therefore, the sun will rise on Tuesday morning.)

Back

Angle bisector

Front

a ray that divides an angle into two congruent angles

Back

Base angles

Front

Two angles that have the base as a side.

Back

Collinear

Front

Points that lie on the same line

Back

slope formula

Front

y2-y1/x2-x1

Back

Congruent

Front

Having the same size and shape

Back

Acute triangle

Front

A triangle that contains only angles that are less than 90 degrees.

Back

hypothesis

Front

A testable prediction, often implied by a theory An educated guess

Back

Line

Front

1. A long thin mark on a surface. 2. A continuous extent of length, straight or curved, without breadth or thickness; the trace of a moving point. 3. Long, narrow mark or band.

Back

Scalene triangle

Front

a triangle with no congruent sides

Back

Point slope equation of a line

Front

y-y1=m(x-x1)

Back

corresponding angles

Front

Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.

Back

alternate exterior angles

Front

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

Back

Equilateral triangle

Front

A triangle with three congruent sides

Back

alternate interior angles

Front

angles between 2 lines and on opposite sides of a transversal

Back

inductive reasoning

Front

A type of logic in which generalizations are based on a large number of specific observations. Emphasis on experimentation and scientific method

Back

Transitive property

Front

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

Back

perpendicular bisector of a triangle

Front

A line that is perpendicular to a segment at its midpoint.

Back

same side interior angles

Front

two interior angles on the same side of the transversal

Back

triangle sum theorem

Front

The sum of the measures of the interior angles of a triangle is 180 degrees

Back

Obtuse triangle

Front

A triangle with one angle that is greater than 90 degrees.

Back

Linear Pair

Front

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

Back