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58 Cards in this Set

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 PoR #2 Diagonals are _____ Congruent Alternate interior angles congruent imply Parallel lines Prove that a figure is a square 4 right angles (if it's a quad) Parallelogram with 1 right angle Parallelogam with congruent diagonals The measure of the exterior angle of a triangle is greater than the measure of either remote interior angle Prove that a quadrilateral is a parallelogram. Both opposite pairs parallel Both opposite pairs congruent One pair of sides parallel and congruent Diagonals bisect each other Opposite angles congruent PoIT #2 Definition 2 (of trapezoid) Bases are parallel Prove that a quadrilateral is a rhombus. Quad with all sides congruent Parallelogram with 2 adjacent sides congruent Diagonals perp. bisectors of each other Parallelogram with one diagonal bisecting the angles Alternate exterior angles congruent imply parallel lines Proce that a quad is a kite. 2 pairs of congruent disjoint sides Quad with one diagonal perp. bisector of the other Corresponding angles congruent imply parallel lines Prove that a quadrilateral is a square. If it is a rectangle and a rhombus. Same-side exterior angles supplimentary imply Parallel lines Prove that a quadrilateral is an isoceles trapezoid. If it's a trapezoid with non parallel sides congruent If the lower/upper base angles are congruent If the diagonals are congruent Same-side interior angles supplimentary imply parallel lines Parallel lines imply alternate interior angles congruent Parallel lines imply alternate exterior angles congruent Parallel lines imply same-side interior angles supplimentary PoIT #4 1 ____ and 1 ____ base ___ ____ Upper; lower; angle supplimentary PoP #2 Opposite sides are___ congruent lower base angles the two angles situated on the lower base of a trapezoid Properties of an Isoceles Trapezoid 1 Legs are congruent 2 Bases are parallel 3 Upper and lower base angles are congruent 4 1 lower and 1 upper base angle suppl. 5 diagonals congruent Parallel lines imply same-side exterior angles supplimentary PoP #1 Definition Opposite sides parallel Properties of a Rhombus 1-5 Parallelograms 8 all sides congruent (definition) 9 Diagonals bisect the angles 10 Diagonals are perp. bis. of each other 11 Diagonals form 4 congruent right triangles Find the number of vertices and diagonals in a 20-sided figure 20-3= 17, the number of vertices 20 times 17=340, divided by 2=170, the number of diagonals PoR #2 Diagonals bisect the ___ angles of the rhombus Terms: diagonal any segment that connects two nonconsecutive vertices of the polygon PoP #4 Consecutive angles ____ Supplimentary Transitive Property of Parallel Lines if 2 lines are parallel to a third line, they're parallel to each other. Coplanar lines perpendicular to a third line imply Parallel lines rectangle parallelogram with all angles right angles PoP #5 Diagonals _________ bisect each other Properties of a Kite 1 2 pairs of congruent disjoint sides 2 One pair of congruent angles 3 1 diagonal is perp. bis. of the other 4 1 diagonal bisects the angles Parallel postulate Through a point on a line there is exactly one parallel to the given line quadrilateral 4-sided polygon PoIT #1 Definition 1 both legs congruent PoR #4 Diagonals form 4 ____ Congruent right triangles Properties of a Rectangle 1-5 Parallelograms 6 All angles right angles 7 Diagonals are congruent PoRh #3 Diagonals are ___ of each other Perpendicular bisectors parallelogram a quadrilateral in which both pairs of opposite sides are parallel PoR #1 All angles _____ Right angles Parallel lines imply corresponding angles congruent Properties of a Parallelogram 1 Opposite sides parallel (definition) 2 Opp. sides congruent 3 Opp. angles congruent 4 Consecutive angles supplimentary 5 Diagonals bisect each other PoK #3 1 diagonal is _____ of the other Perpendicular bisector PoIT #5 Diagonals ____ congruent PoK #1 Definition Quadrilateral with two pairs of congruent disjoint sides rhombus a parallelogram in which at least two consecutive sides are congruent square a parallelogram that is both a rectangle and a rhombus PoRh #1 Definition Parallelogram w/ all sides congruent kite quadrilateral in which two pairs of disjoint sides are congruent Properties of a Square Everything true about parallelograms, rhombuses, and rectangles=true about squares PoIT #3 ___ and ____ base angles ____ Upper; lower; congruent trapezoid a quadrilateral with exactly one pair of parallel sides bases the parallel sides of a trapezoid PoP #3 Opposite angles ____ Congruent isoceles trapezoid a trapezoid in which the two legs are congruent PoK #2 One pair of ____ Congruent angles PoK #4 1 diagonal _________ bisects the angles