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Laabri

May 31: Geometry Major Topics Review

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1.

A tree casts a 12 ft long shadow on the ground. If the angle of elevation to the top of the tree is 40°, how tall is the tree? Round to the nearest tenth.

Draw a picture, show an equation, and solve.

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2.

Solve for x and round to the nearest tenth.

Show ALL work necessary in the box provided below.

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3.

In a regular polygon of 11 sides, the measure of each exterior angle is

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4.

In the diagram at the right, m∠B = 90°. An equation to find the measure of ∠A is:

(select all that apply)

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5.

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6.

If y = 12, find the value of x.

Your answer must be in simplest radical form.

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7.

Point D is the centroid of △ABC.

BF = 9, and BD = x

Find the length of BD.

Find the length DF.

Find the value of x.

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8.

What is the cos(A)?

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9.

Find x.

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10.

What is the area of the equilateral triangle?

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11.

Find x and y in the parallelogram.

x =

y =

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12.

Solve for x and round to the nearest tenth.

Show ALL work necessary in the box provided below.

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13.

Put the side lengths into the correct category based on their relationship to the unknown (?) angle.

  • 5

  • 4

  • 3

  • Hypotenuse

  • Opposite side to ? Angle

  • Adjacent side to ? Angle

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14.

Put the side lengths into the correct category based on their relationship to C

  • 12

  • 37

  • 35

  • Hypotenuse

  • Opposite side to C

  • Adjacent side to C

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15.

Using the image above, what is the measure of side AC?

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16.

If the longer leg in a 30° - 60° - 90° triangle is 15, the hypotenuse measures ________.

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17.

Choose the properties that are ALWAYS true for a Parallelogram?

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18.

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19.

In the parallelogram below, solve for x and y.

x =

y =

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20.

In the parallelogram below, solve for f and g.

f =

g =

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21.

Find the AREA of each REGULAR POLYGON.

Area =

Area =

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22.

Solve for x and round to the nearest tenth.

Show ALL work necessary in the box provided below.

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23.

When do you plan to start studying for the Geometry Final Exam?

If you are finished with all greens, complete this Desmos Activity:

Period 2

Period 4