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30 Cards in this Set
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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 twocolumn 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).

Pointslope 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.

Sameside 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 yintercept.

Slopeintercept 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. •sameside interior angles are supplementary. 
If two parallel lines are cut by a transversal, then

•corresponding angles are congruent.
•alternate interior angles are congruent. •sameside 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 ngon

360

The sum of the measures of the exterior angles of an ngon, one at each vertex
