TEST THURSDAY GEOMETRY Flashcards

(42 cards)

1
Q

Closed plane figure made up of line segments only joining at their endpoints *segments cannot be collinear

A

Regular Polygon (360/360 divided by n only applies to regular polygons!)

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2
Q

All interior angles are less than 180 degrees, no diagonals with points outside polygon

A

Convex Polygons

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3
Q

At least one interior angle greater than 180 degrees, reflexive angle present, at least one diagonal with points outside polygon

A

Concave Polygon

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4
Q

All sides and angles are congruent in a polygon

A

Regular polygon

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5
Q

triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon, dodecagon

A

prefix polygons

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6
Q

The sum of the measures of the interior angles of the polygon with “n” sides, (n-2)180 (divide by n again to get individual angle measure)

A

Polygon Angle-Sum Theorem

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7
Q

The sum of the measures of the exterior angles of a polygon are always 360 degrees

A

Polygon Exterior Angle-Sum Theorem

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8
Q

Opposite sides are parallel & congruent, opposite angles are congruent and consecutive angles are supplementary. diagonals bisect each other.

A

classification of a parallelogram

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9
Q

All the properties of a parallelogram, four right angles, diagonals are congruent

A

classification of a rectangle

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10
Q

all properties of a parallelogram, rectangle, and rhombus

A

classification of a square

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11
Q

all properties of a parallelogram, all sides are congruent. The diagonals bisect the angles and are perpendicular

A

classification of a rhombus

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12
Q

at least one pair of parallel sides present

A

classification of a generalized trapezoid

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13
Q

non parallel lines are congruent, base angles are congruent, and opposite angles are supplementary

A

classification of an isosceles trapezoid

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14
Q

two pairs of adjacent sides are congruent, one pair of opposite angles are congruent, one diagonal bisects the other, and diagonals are perpendicular

A

classification of a kite

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15
Q

diagonals in a RECTANGLE are…

A

congruent

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16
Q

diagonals in a RHOMBUS are…

A

Perpendicular and bisect each other

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17
Q

What is the one generalization for all trapezoids?

A

At least ONE pair of parallel lines

18
Q

Diagonals for a KITE are…

A

perpendicular and one diagonal bisects the other

19
Q

how many pairs of adjacent sides are in a kite?

A

2 congruent pairs of adjacent sides

20
Q

how many pairs of angles are in a kite and what type of angles are they?

A

One pair of OPPOSITE CONGUENT angles

21
Q

Which parts are congruent in an isosceles trapezoid?

A

Non parallel sides and base angles are congruent in an isosceles trapezoid

22
Q

Which angles are supplementary in an isosceles trapezoid?

A

opposite angles are supplementary in a trapezoid

23
Q

What are the sides’ relationships with each other in a rhombus

A

all of the sides in a rhombus are congruent

24
Q

what is the classification of the angles in a rectangle?

A

there are 4 right angles in a rectangle

25
what are the diagonals in a square?
the diagonals in a square bisect angles, are perpendicular & congruent
26
what are the properties of a square?
- consecutive angles are supplementary - diagonals are congruent, bisect each other, and are perpendicular - 4 right angles - all sides are congruent - opposite sides are parallel and congruent - opposite angles are congruent
27
what are the properties of a rectangle?
- opposite sides are parallel and congruent - opposite angles are congruent - consecutive angles are supplementary - diagonals bisect each other and are congruent - 4 right angles
28
what are the properties of a rhombus?
- diagonals bisect each other. are angle bisectors, and are perpendicular - all sides are congruent - opposite parallel sides are congruent - opposite angles are congruent - consecutive angles are supplementary
29
what are the properties of a kite?
- 2 pairs of congruent adjacent sides - one pair of opposite congruent angles - one diagonal bisects the other and diagonals are perpendicular
30
what are the properties of a general trapezoid?
at least one pair of parallel lines
31
what are the properties of an isosceles trapezoid?
- at least one pair of parallel lines - non parallel sides are congruent - base angles are congruent - opposite angles are supplementary
32
Theorems proving a quadrilateral is a parallelogram (includes special parallelograms)
- if both pairs of opposite sides are either congruent or parallelogram OR one pair of opposite sides are both congruent and parallel - both pairs of opposite angles are congruent - diagonals bisect each other
33
Proving rectangle theorems (when solving, using parallelogram theorems are a given)
- one right angle present - diagonals are congruent
34
Proving rhombus with theorems (Using parallelogram theorems are a given)
- adjacent SIDES are congruent - diagonals are perpendicular (and/or bisect angles) -
35
Proving a square with theorems
Using criteria from both rhombus & rectangle (prove two of those criteria) ex. ABCD is a square because its diagonals are perpendicular and formed a right angle
36
Isosceles Trapezoid theorems (quadrilateral-trapezoid)
- base angles are congruent - diagonals are congruent
37
Kite (Quadrilateral)
Diagonals are perpendicular
38
Quadrilateral Family Tree
Quadrilateral: Kite or Trapezoid: Isosceles Trapezoid or parallelogram: rectangle, square, rhombus
39
Construction for isosceles trapezoid
one pair of opposite sides are parallel
40
Construction for parallelogram
one pair of opposite sides are parallel and congruent
41
Construction for rectangle
both pairs of opposite sides are congruent and there is one right angle established
42
Construction for a hexagon
6 equilateral triangles are established