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