Section 1
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Midpoint
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Last updated
6 years ago
Date created
Mar 14, 2020
Cards (60)
Section 1
(50 cards)
Midpoint
A point that divides a segment into two congruent segments
Supplementary angles
Two angles whose sum is 180 degrees
alternate interior angles
angles between 2 lines and on opposite sides of a transversal
Segment addition postulate
If B is between A and C, then AB + BC = AC
hypothesis
A testable prediction, often implied by a theory An educated guess
SSS postulate
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
altitude of a triangle
the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side
slope formula
Isosceles triangle
a triangle with at least two congruent sides
same side exterior angles
two exterior angles on the same side of the transversal
triangle sum theorem
The sum of the measures of the interior angles of a triangle is 180 degrees
trapezoid
A quadrilateral that has a pair of opposite sides parallel.
Line segment
A part of a line with two endpoints
square
A quadrilateral where all sides have equal length, and every interior angle is a right angle (90 degrees). Special rectangle.
Congruent
Having the same size and shape
Right triangle
a triangle with one right angle
Substitution property
If a=b, then a can be substituted for b in any equation or expression
Angle bisector
a ray that divides an angle into two congruent angles
Obtuse triangle
A triangle with one angle that is greater than 90 degrees.
Equilateral triangle
A triangle with three congruent sides
Segment bisector
a segment, ray, line, or plane that intersects a segment at its midpoint
Regular triangle
All congruent sides and angles
same side interior angles
two interior angles on the same side of the transversal
regular polygon
A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular").
Quadrilateral
A flat shape with four straight sides. (closed)
slope intercept form of a line
irregular polygon
A polygon that does not have all sides equal and all angles equal.
Vertex angle
The angle formed by the legs of an isosceles triangle.
transversal
a line that intersects two or more coplanar lines at different points
rectangle
A quadrilateral where all angles are right angles (90°). Also opposite sides are parallel and of equal length.
Vertical Angles
A pair of opposite congruent angles formed by intersecting lines
Angle addition postulate
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
rhombus
A quadrilateral where all sides have equal length. It is a type of parallelogram.
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.
y-intercept
The point where the graph crosses the y-axis
kite
A quadrilateral that has two pairs of sides that are equal in length but not all 4 are equal.
Linear Pair
A pair of adjacent angles whose noncommon sides are opposite rays.
conclusion
A summary based on evidence or facts
alternate exterior angles
Angles that lie outside a pair of lines and on opposite sides of a transversal.
Collinear
Points that lie on the same line
Scalene triangle
a triangle with no congruent sides
Transitive property
If a=b and b=c, then a=c
conditional statements
A statement that can be written in if-then form.
parallel lines
lines in the same plane that never intersect
perpendicular bisector of a triangle
A line that is perpendicular to a segment at its midpoint.
corresponding angles
Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.
Acute triangle
A triangle that contains only angles that are less than 90 degrees.
HL Postulate
If a hypotenuse and leg of one right triangle are congruent to the corresponding hypotenuse and leg of a second right triangle, then the triangles are congruent.
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.
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.
Section 2
(10 cards)