Section 1
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Collinear
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Last updated
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Date created
Mar 1, 2020
Cards (51)
Section 1
(50 cards)
Collinear
Points that lie on the same line
Congruent
Having the same size and shape
Vertex angle
The angle formed by the legs of an isosceles triangle.
same side interior angles
two interior angles on the same side of the transversal
Complementary angles
Two angles whose sum is 90 degrees
Point slope equation of a line
y-y1=m(x-x1)
Substitution property
If a=b, then a can be substituted for b in any equation or expression
Scalene triangle
a triangle with no congruent sides
altitude of a triangle
the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side
parallel lines
lines in the same plane that never intersect
Obtuse triangle
A triangle with one angle that is greater than 90 degrees.
SSS postulate
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Isosceles triangle
a triangle with at least two congruent sides
Linear Pair
A pair of adjacent angles whose noncommon sides are opposite rays.
transversal
a line that intersects two or more coplanar lines at different points
Segment addition postulate
If B is between A and C, then AB + BC = AC
converse of a conditional statement
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.
slope formula
y2-y1/x2-x1
alternate interior angles
angles between 2 lines and on opposite sides of a transversal
Segment bisector
a segment, ray, line, or plane that intersects a segment at its midpoint
Line
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.
theorem
A mathematical statement which we can prove to be true
Supplementary angles
Two angles whose sum is 180 degrees
ASA postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
slope intercept form of a line
y=mx + b (m is the slope, b is the y intercept point)
Right triangle
a triangle with one right angle
AAS postulate
If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another, then the two triangles are congruent.
deductive reasoning
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.)
same side exterior angles
two exterior angles on the same side of the transversal
corresponding angles
Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.
postulate
something accepted as true without proof; an axiom
y-intercept
The point where the graph crosses the y-axis
triangle sum theorem
The sum of the measures of the interior angles of a triangle is 180 degrees
Angle addition postulate
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
Midpoint
A point that divides a segment into two congruent segments
Transitive property
If a=b and b=c, then a=c
Regular triangle
All congruent sides and angles
Angle bisector
a ray that divides an angle into two congruent angles
conclusion
A summary based on evidence or facts
Line segment
A part of a line with two endpoints
alternate exterior angles
Angles that lie outside a pair of lines and on opposite sides of a transversal.
Acute triangle
A triangle that contains only angles that are less than 90 degrees.
inductive reasoning
A type of logic in which generalizations are based on a large number of specific observations. Emphasis on experimentation and scientific method
Vertical Angles
A pair of opposite congruent angles formed by intersecting lines
Equilateral triangle
A triangle with three congruent sides
SAS postulate
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Base angles
Two angles that have the base as a side.
perpendicular bisector of a triangle
A line that is perpendicular to a segment at its midpoint.
hypothesis
A testable prediction, often implied by a theory An educated guess
conditional statements
A statement that can be written in if-then form.
Section 2
(1 card)