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35 Cards in this Set
- Front
- Back
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The sum of the measures of the four angles of any quadrilateral is 360°.
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Quadrilateral Sum Conjecture
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The sum of the measures of the five angles of a pentagon is 540°.
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Pentagon Sum Conjecture
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The sum of the measures of the n interior angles of an n-gon is 180°(n-2).
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Polygon Sum Conjecture
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For any polygon, the sum of the measures of a set of exterior angles is 360°.
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Exterior Angle Sum Conjecture
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Meaning that all sides are equal in length.
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equilateral
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Meaning that all angles have the same measure.
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equiangular
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The nonvertex angles of a kite are congruent.
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Kite Angles Conjecture
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The diagonals of a kite are perpendicular.
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Kite Diagonals Conjecture
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The diagonals connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
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Kite Diagonal Bisector Conjecture
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The vertex angles of a kite are bisected by a diagonal.
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Kite Angle Bisector Conjecture
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A quadrilateral with two sets of consecutive congruent sides.
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Kite
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An angle found between two congruent sides of a kite.
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Vertex Angles
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An angle found between two noncongruent sides of a kite.
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Nonvertex Angles
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A quadrilateral with exactly one set of parallel sides.
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Trapezoid
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The parallel sides of a trapezoid.
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Bases of a Trapezoid
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A pair of angles that share a base as a common side in a trapezoid.
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Base Angles of a Trapezoid
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A pair of angles that share a nonparallel side as a common side in a trapezoid.
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Consecutive Angles of a Trapezoid
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The consecutive angles of a trapezoid are supplementary.
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Trapezoid Consecutive Angles Conjecture.
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The base angles of an isosceles trapezoid are congruent.
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Isosceles Trapezoid Conjecture
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The diagonals of an isosceles trapezoid are congruent.
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Isosceles Trapezoid Diagonals Conjecture
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The three midsegments of a triangle divide it into four congruent triangles.
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Three Midsegments Conjecture
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A midsegment of a triangle is parallel to the third side and half the length of the third side.
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Triangle Midsegment Conjecture
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The midsegment of a trapezoid is parallel to the bases and is equal in length to half the sum of the bases.
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Trapezoid Midsegment Conjecture
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The opposite angles of a parallelogram are congruent.
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Parallelogram Opposite Angles Conjecture
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The consecutive angles of a parallelogram are supplementary.
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Parallelogram Consecutive Angles Conjecture
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The opposite sides of a parallelogram are congruent.
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Parallelogram Opposite Side Conjecture
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The diagonals of a parallelogram bisect each other.
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Parallelogram Diagonals Conjecture
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The diagonals of a rhombus are perpendicular and they bisect each other.
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Rhombus Diagonals Conjecture
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The diagonals of a rhombus bisect the angles of a rhombus.
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Rhombus Angles Conjecture
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The diagonals of a rectangle are congruent and they bisect each other.
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Rectangle Diagonals Conjecture
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The diagonals of a square are congruent, perpendicular, and bisect each other.
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Square Diagonals Conjecture
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A quadrilateral with four congruent sides.
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Rhombus
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A quadrilateral with four congruent angles.
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Rectangle
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A quadrilateral that is equilateral and equiangular.
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Square
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You can find the measurement of each interior angles of an equiangular n-gon by using either of these formulas: 180°-360°/n or (180°(n-2))/n
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Equiangular Polygon Conjecture
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