Section 1
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alternate exterior angles
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Last updated
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Date created
Mar 14, 2020
Cards (65)
Section 1
(50 cards)
alternate exterior angles
Angles that lie outside a pair of lines and on opposite sides of a transversal.
complementary angles
Two angles whose measures add to 90 degrees.
same side interior angles
two interior angles on the same side of the transversal
Consecutive Interior Angles Converse- If two lines are cut by a transversal so the consecutive interior angles are supplementary,
Then the lines are parallel.
Angle addition postulate
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
transversal
a line that intersects two or more coplanar lines at different points
Slope Intercept Form
y=mx+b
Supplementary angles
Two angles whose sum is 180 degrees
Quadrilateral
A flat shape with four straight sides. (closed)
Congruent
Having the same size and shape
corresponding angles
Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.
Pythagorean Theorem
In a right angled triangle: the square of the hypotenuse is equal to. the sum of the squares of the other two sides.
Slope
Ratio of vertical change (rise) to horizontal change (run) Rise/Run; (y2-y1)/(x2-x1)
Collinear
Points that lie on the same line
Regular triangle
All congruent sides and angles
Line
Extends in both directions. Has no end. Named by any 2 points that lie on its. Arrows on both ends
Slopes of Perpendicular Lines
If and only if the product of their slopes is -1 (Opposite Reciprocals) Horizontal lines are perpendicular to Vertical Lines
Corresponding Angles Converse Postulate- If two lines are cut by a transversal so the corresponding angles are congruent, ...
Then the lines are parallel.
Linear Pair
A pair of adjacent angles whose noncommon sides are opposite rays.
ray, opposite rays
a part of a line that starts at one endpoint and extends forever
alternate interior angles
angles between 2 lines and on opposite sides of a transversal
Slopes of Parallel Lines
If and only if they have the same slope.
irregular polygon
A polygon that does not have all sides equal and all angles equal.
Alternate Exterior Angles Converse- If two lines are cut by a transversal so the alternate exterior angles are congruent, ...
Then the lines are parallel.
Angle bisector
a ray that divides an angle into two congruent angles
hypothesis
A testable prediction, often implied by a theory An educated guess
Transitive Property of Parallel Lines- If two lines are parallel to the same line,...
Then they are parallel to each other.
Alternate Interior Angles Converse- If two lines are cut by a transversal so the alternate interior angles are congruent, ...
Then the lines are parallel.
conditional statements
A statement that can be written in if-then form.
Vertical Angles
A pair of opposite congruent angles formed by intersecting lines
Substitution property
If a=b, then a can be substituted for b in any equation or expression
regular polygon
A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular").
Line segment
A part of a line with two endpoints
Alternate Exterior Angles Theorem- If two parallel lines are cut by a transversal,...
Then the pairs of alternate exterior angles are congruent.
Skew Lines
Two lines that do not intersect and are not coplanar.
perpendicular lines
Lines that intersect to form right angles
Consecutive Interior Angles Theorem- If two parallel lines are cut by a transversal,...
Then the pairs of consecutive interior angles are supplementary.
adjacent angles
Two angles that share a common side and have the same vertex
triangle sum theorem
The sum of the measures of the interior angles of a triangle is 180 degrees
Segment bisector
a segment, ray, line, or plane that intersects a segment at its midpoint
Alternate Interior Angles Theorem- If two parallel lines are cut by a transversal,...
Then the pairs of alternate interior angles are congruent.
Midpoint
A point that divides a segment into two congruent segments
Corresponding Angles Postulate- If two parallel lines are cut by a transversal,...
Then the pairs of corresponding angles are congruent.
coplanar
points that lie on the same plane
parallel lines
lines in the same plane that never intersect
conclusion
A summary based on evidence or facts
distance
How far it is from one point to another
same side exterior angles
two exterior angles on the same side of the transversal
Segment addition postulate
If B is between A and C, then AB + BC = AC
Transitive property
If a=b and b=c, then a=c
Section 2
(15 cards)