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May 31: Geometry Major Topics Review

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Last updated almost 2 years ago
23 questions
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Question 1
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.

Question 2
2.

Solve for x and round to the nearest tenth.
Show ALL work necessary in the box provided below.

Question 3
3.

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

Question 4
4.

In the diagram at the right, m∠B = 90°. An equation to find the measure of ∠A is:
(select all that apply)

Question 5
5.

Question 6
6.

If y = 12, find the value of x.
Your answer must be in simplest radical form.

Question 7
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._______
Question 8
8.

Question 9
9.

Find x.

Question 10
10.

What is the area of the equilateral triangle?

Question 11
11.
Find x and y in the parallelogram.


x = _______

y = _______
Question 12
12.

Solve for x and round to the nearest tenth.
Show ALL work necessary in the box provided below.

Question 13
13.

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

  • 4
  • 3
  • 5
  • Hypotenuse
  • Opposite side to ? Angle
  • Adjacent side to ? Angle
Question 14
14.

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

  • 37
  • 12
  • 35
  • Hypotenuse
  • Opposite side to C
  • Adjacent side to C
Question 15
15.

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

Question 16
16.

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

Question 17
17.

Question 18
18.

Question 19
19.
In the parallelogram below, solve for x and y.




x = _______

y = _______
Question 20
20.
In the parallelogram below, solve for f and g.




f = _______

g = _______
Question 21
21.
Find the AREA of each REGULAR POLYGON.


Area = _______


Area = _______
Question 22
22.

Solve for x and round to the nearest tenth.
Show ALL work necessary in the box provided below.

Question 23
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

15
What is the cos(A)?
Choose the properties that are ALWAYS true for a Parallelogram?
Consecutive angles are supplementary (add to 180º).
It has exactly 4 sides
Diagonals are perpendicular. (meet at right angles)
Diagonals bisect opposite angles. (Cut opposite angles exactly in half)
The interior angles add to 360º
Opposite sides are parallel
Diagonals are congruent.
All sides are congruent.
Opposite sides are congruent (the same length).
Diagonals bisect each other. (cut each other in half)
Opposite angles are congruent (the same angle measure).
All angles are congruent.
10 units