# Geometry Review

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## Geometry Review Answer Key

1.

Which image shows the direction the arrow would point after rotating [math]90deg[/math] counterclockwise?

[math]uarr[/math]

[math]uarr[/math]

- [math]uarr[/math]
- [math]darr[/math]
- [math]rarr[/math]
- [math]larr[/math]

2.

What is the position of point K relative to point L when the line is rotated [math]270deg[/math] clockwise?

- K is above L.
- K is below L.
- K is to the left of L.
- K is to the right of L.

3.

Point (-3, 4) is the vertex of a triangle. When the triangle is reflected over the y-axis, what are the coordinates of the image of the vertex?

- (-3, -4)
- (3, 4)
- (-4, -3)
- (4, 3)

4.

The exterior base angles of an isosceles triangle each measure [math]100deg[/math]. What is the measure of the interior vertex angle of the triangle?

- [math]20deg[/math]
- [math]60deg[/math]
- [math]80deg[/math]
- [math]160deg[/math]

5.

Which statement best describes the relationship between triangle ABC and triangle ADC?

- ABC is congruent to ADC.
- ABC is similar to ADC, but not congruent.
- ABC and ADC are neither congruent nor similar.

6.

Find the distance between the points (-8, 1) and (4, 6).

- 4
- 5
- 12
- 13

7.

The distance between points L and M is 15 units. If point L is located at (6, 10), which of the following could be a location for point M?

- (-3, -5)
- (-3, -2)
- (-6, 5)
- (-6, 2)

8.

Abbey's waffle ice cream cone and a sugar ice cream cone hold the same volume of ice cream. The height of the waffle cone is 10 cm and its radius is 5 cm. What is the radius of the sugar cone, to the nearest cm, if its height is 14 cm?

- 4 cm
- 5 cm
- 7 cm
- 9 cm

9.

Ace Canning Company is redesigning its product. The new cans will have twice the radius, but the same height of the original cans. Which statement is true about the volume of the new cans compared to the volume of the original cans?

- The volumes of the new and original cans will be equal.
- The volume of the new cans will be twice the volume of the original cans.
- The volume of the new cans will be four times the volume of the original cans.
- There is not enough information to determine.

10.

Write the letter "D" at the point where the altitude meets line AC.

Given: Triangle ABC is a right triangle; [math]angB[/math] is a right angle; line BD is perpendicular to AC

Which reason explains the following relationships?

[math](AC)/(BC) = (BC)/(DC); (AC)/(AB)=(AB)/(AD)[/math]

Given: Triangle ABC is a right triangle; [math]angB[/math] is a right angle; line BD is perpendicular to AC

Which reason explains the following relationships?

[math](AC)/(BC) = (BC)/(DC); (AC)/(AB)=(AB)/(AD)[/math]

- though a point outside a line, there is exactly one line perpendicular to the given line
- given the altitude of a right triangle, the legs are the geometric mean of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg
- when the hypotenuse and a leg of a right triangle are congruent to corresponding parts of another right triangle, the triangles are congruent
- the sum of the side lengths of any two sides of a triangle are greater then the length of the third side

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