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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
