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Geometry, Chem > TEST THURSDAY GEOMETRY > Flashcards

TEST THURSDAY GEOMETRY Flashcards

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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
Q

what are the diagonals in a square?

A

the diagonals in a square bisect angles, are perpendicular & congruent

26
Q

what are the properties of a square?

A
  • 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
Q

what are the properties of a rectangle?

A
  • 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
Q

what are the properties of a rhombus?

A
  • 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
Q

what are the properties of a kite?

A
  • 2 pairs of congruent adjacent sides
  • one pair of opposite congruent angles
  • one diagonal bisects the other and diagonals are perpendicular
30
Q

what are the properties of a general trapezoid?

A

at least one pair of parallel lines

31
Q

what are the properties of an isosceles trapezoid?

A
  • at least one pair of parallel lines
  • non parallel sides are congruent
  • base angles are congruent
  • opposite angles are supplementary
32
Q

Theorems proving a quadrilateral is a parallelogram (includes special parallelograms)

A
  • 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
Q

Proving rectangle theorems (when solving, using parallelogram theorems are a given)

A
  • one right angle present
  • diagonals are congruent
34
Q

Proving rhombus with theorems (Using parallelogram theorems are a given)

A
  • adjacent SIDES are congruent
  • ## diagonals are perpendicular (and/or bisect angles)
35
Q

Proving a square with theorems

A

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
Q

Isosceles Trapezoid theorems (quadrilateral-trapezoid)

A
  • base angles are congruent
  • diagonals are congruent
37
Q

Kite (Quadrilateral)

A

Diagonals are perpendicular

38
Q

Quadrilateral Family Tree

A

Quadrilateral: Kite or Trapezoid: Isosceles Trapezoid or parallelogram: rectangle, square, rhombus

39
Q

Construction for isosceles trapezoid

A

one pair of opposite sides are parallel

40
Q

Construction for parallelogram

A

one pair of opposite sides are parallel and congruent

41
Q

Construction for rectangle

A

both pairs of opposite sides are congruent and there is one right angle established

42
Q

Construction for a hexagon

A

6 equilateral triangles are established

Geometry, Chem (25 decks)

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