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30 Cards in this Set

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  • Back
triangle has three acute angles
Acute triangle
angles are nonadjacent interior angles that lie on opposite sides of the transversal.
Alternate interior angles
no diagonal contains points outside the polygon.
polygon is convex
diagonal contains points outside the polygon.
polygon is concave
angles lie on the same side of the transversal t and in corresponding positions relative to l and m.
Corresponding angles
triangle is a triangle whose angles are all congruent or polygon whose angles are all congruent.
Equiangular triangle or polygon
a triangle whose sides are all congruent or a polygon whose sides are all congruent.
Equilateral triangle or polygon
an angle formed by a side and an extension of an adjacent side
Exterior angle of a polygon
statements and reasons are aligned in columns.
a two-column proof
statements and reasons are connected in sentences
a paragraph proof
arrows show the logical connections between the statements
flow proof
a figure is drawn on a coordinate plane and the formulas for slope, midpoint, and distance are used to prove properties of the figure
coordinate proof
involves the use of indirect reasoning.
indirect proof
triangle is a triangle that has at least two congruent sides.
Isosceles triangle
triangle has one obtuse angle
Obtuse triangle
form for a nonvertical line with slope m and through point (x1, y1) is y − y1 = m(x − x1).
Point-slope form
polygon that is both equilateral and equiangular. Its center is the center of the circumscribed circle.
Regular polygon
the two nonadjacent interior angles corresponding to each exterior angle of a triangle.
Remote interior angle
triangle contains one right angle. The side opposite the right angle is the hypotenuse and the other two sides are the legs.
Right triangle
angles lie on the same side of the transversal t and between and m.
Same-side interior angles
triangle has no sides congruent
Scalene triangle
form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.
Slope-intercept form
form of a linear equation is Ax + By = C, where A, B, and C are integers and A and B are not both zero.
Standard form of a linear equation
a line that intersects two coplanar lines in two points.
Transversal
•corresponding angles are congruent.
•alternate interior angles are congruent.
•same-side interior angles are supplementary.
If two parallel lines are cut by a transversal, then
•corresponding angles are congruent.
•alternate interior angles are congruent.
•same-side interior angles are supplementary.
Two lines cut by a transversal are parallel if
equals the sum of the measures of its two remote interior angles.
The sum of the measures of the angles of a triangle is 180. The measure of each exterior angle of a triangle equals...
start at any vertex and list the vertices consecutively in a clockwise or counterclockwise direction.
To name a polygon
(n − 2)180.
The sum of the measures of the angles of an n-gon
360
The sum of the measures of the exterior angles of an n-gon, one at each vertex