Geometry week 1 Flashcards

1
Q

What kind of triangles can the pythagorean theorem be used with?

A

Right angle triangles only

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2
Q

Define right angle:

A

An angle of 90°.

Can be found in the corner of a square or at the intersection of two perpendicular straight lines

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3
Q

Define acute angle:

A

Any angle that measures less than 90 degrees.

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4
Q

Define obtuse angle:

A

A type of angle that is always larger than 90° but less than 180°.

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5
Q

Define straight angle:

A

An angle of exactly 180°. Presents as a straight line.

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6
Q

Define reflex angle:

A

Always more than 180° (half a circle) but less than 360° (A full circle).

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7
Q

State the formula for the Pythagorean Theorem.

A

a2 + b2 = c2

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8
Q

Solve for C, if A is (4), and B is (3).

Use pythagorean’s theorem.

A
c2 = a2 + b2
c2 = 4^2 + 3^2
c2 = 16 + 9
c2 = 25
c2 = √25
∴ c = 5
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9
Q

State the formula for perimeter of a rectangle:

A

p = L + L + w + w

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10
Q

State the formula for perimeter of a parallelogram:

A

p = b + b + c + c

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11
Q

State the formula for perimeter of a triangle:

A

p = a + b + c

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12
Q

State the formula for perimeter of a trapezoid:

A

p = a + b + c + d

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13
Q

State the formula for perimeter (circumference) of a circle:

A

c = πd
or
c = 2πr

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14
Q

State the formula for area of a rectangle:

A

A = Lw

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15
Q

State the formula for area of a parallelogram:

A

A = bh

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16
Q

State the formula for area of a triangle:

A

A = bh/2
or
A = 1/2bh

17
Q

State the formula for area of a trapezoid:

A

A = (a + b)h / 2
or
A = 1/2 (a + b)h

18
Q

State the formula for area of a circle:

A

A = πr^2

19
Q

Define composite shape:

A

Two or more basic shapes put together

20
Q

Define perimeter:

A

Distance around the shape

21
Q

Define area:

A

Space the object occupies (inside)