Intermediate I Geometry and Measurement, (3-4 new curriculum) Flashcards

1
Q

Two planes, lines, rays, or segments that are equidistant from each other when measured at a 90 degree angle out from one of them to the other

A

parallel

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2
Q

Two lines, rays, planes, or segments that intersect at a 90 degree angle

A

perpendicular

the corner of a piece of paper, the angle between the hands on an analog clock at 3:00, a capital letter L

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3
Q

Have sides of equal length and interior angles of equal measure.

A

regular polygons

(Will be convex by definition)

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4
Q

A plane, two-dimensional closed shape bounded with straight lines. Can be both concave, or convex.

A

polygon

can be irregular or regular

concave polygon = at least one interior angle is greater than 180 degrees

convex polygon = all interior angles are smaller than 180 degrees

e.g.: triangles, quadrilaterals, pentagons, hexagons, octagons etc.

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5
Q

list types of quadrilaterals

A

squares
rectangles
parallelograms
trapezoids
rhombuses

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6
Q

list types of triangles

A

equilateral
isosceles
scalene

By angle:
right
obtuse
acute

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7
Q

two angles that compose 90 degrees (compose means “add to”)

A

complementary angles

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8
Q

two angles that compose 180 degrees

A

supplementary angles

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9
Q

basic unit of length in the metric system

A

metre (m)

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10
Q

prefix meaning one thousand

A

milli (m)

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11
Q

prefix meaning one hundred

A

centi (c)

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12
Q

prefix meaning ten

A

deci (d)

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13
Q

How many millimetres are in one metre?

A

1000

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14
Q

How many centimetres are in one metre?

A

100

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15
Q

How many decimetres are in one metre?

A

10

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16
Q

What is m? (metric unit)

A

metre

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17
Q

What is dm?

A

decimetre

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18
Q

What is cm?

A

centimetre

19
Q

What is mm?

A

millimetre

20
Q

What are units of length in the imperial system?

A

inch (inches)
foot (feet)
yard (yards)
mile (miles)

21
Q

How many inches are in one foot?

A

12

22
Q

How many feet are in one yard?

A

3

23
Q

An inch is about how many centimetres?

A

About 2.54 cm = 1 inch

Some people round this to 2.5 or just say there is about two and a half centimetres in an inch.

24
Q

What is the closest imperial unit of measurement in length to a metre? Which is larger?

A

yard

The metre is larger than the yard, so swimming in a 25 yard pool is shorter than a 25 m pool and you might think you are swimming more quickly in the 25 yard pool.

25
Q

What is the closest imperial measurement of length to 30 cm?

A

1 foot

About 30.5 cm fit in a foot

26
Q

the process of measuring an area with many copies of a unit, without gaps or overlaps

A

tiling

27
Q

formula for the area of a rectangle

A

The area of a rectangle is a product of its perpendicular side lengths:

A = lw

Area equals length times width

Extra notes:

Can be perceived as the square-shaped units structured in a two-dimensional array.

Arrays are great for picturing multiplication facts.

28
Q

perimeter of a polygon

A

the sum of the lengths of the sides

P = s1 + s2 + s3 …. + sn

Where n is the amount of sides on the polygon.

29
Q

benchmark

A

a known length to which another length can be compared

You can estimate length using a personal or familiar referent

30
Q

Defines the space in corners, bends, turns or rotations, intersections, slopes

Can sometimes be the motion of a length rotated about a vertex

A

Angle

31
Q

The end point of a line segment or ray

A

vertex

32
Q

How many degrees are in a circle?

A

360

33
Q

How many degrees are in a semi-circle?

A

180

34
Q

How many degrees are in a quarter circle?

A

90

35
Q

An angle measuring less than 90 degrees

A

acute angle

36
Q

An angle that measures 90 degrees

A

right angle

37
Q

An angle that is between 90 degrees and 180 degrees

A

obtuse angle

38
Q

An angle that measures 180 degrees

A

straight angle

39
Q

An angle that measures more than 180 degrees

A

reflex angle

40
Q

How much of a circle is shaded in fraction form if 270 degrees are shaded?

A

3/4

because
270/360 = 3/4

41
Q

How much of a circle is shaded in fraction form if 180 degrees are shaded?

A

1/2

because
180/360 = 1/2

42
Q

How much of a circle is shaded in fraction form if 90 degrees are shaded?

A

1/4

because
90/360 = 1/4

43
Q

How much of a circle is shaded in fraction form if 45 degrees are shaded?

A

1/8

because
45/360 = 1/8