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