Name ___________________________________

PreAP Geometry UNIT 4 RETEST REVIEW

Date ___________________

Period _________

Directions: Work must be shown to receive full credit. Figures are NOT drawn to scale. ___________ 1) Find BC if AD is an altitude of ∆ABC.

_________ 2) How long is the diagonal from A to M in the rectangular prism? 9

A 8

M

12 M

____________3) Given the graph to below find the equation of the perpendicular bisector of segment HG. ିଷ ଶ y a) ‫ ݔ = ݕ‬+ 3 b) ‫ ݔ = ݕ‬+ 3 ଶ

c) ‫= ݕ‬

ିଷ ଶ

ଷ

଻

d) ‫= ݕ‬

‫ݔ‬−ଶ

ିଶ ଷ

G

଻

‫ݔ‬+ଶ H

x I

________________ 4) Find x.

x2 (x + 7.5)

60°

5) Find the length of the diagonal of a square with a perimeter of 16 inches.

6) Find the values of r and p. r

p

60°

45°

_________

7) Given the following side lengths, determine if the given side lengths form a triangle and if

_________

yes what type of triangle.

Side lengths:

2 , 1,

3 2

8) A regular hexagon is made up of six equilateral triangles. Each equilateral triangle has a side length of 12 cm. Find the length of AC in the regular hexagon. A 10

C

9) Find the perimeter (to the nearest hundredth) of KLMN.

N

6

M 8

K

45°

10) The legs of a right triangle are in the ratio of 2:3. The hypotenuse is the length of both of the legs of the triangle.

_________ 11) Find the altitude of a regular triangle with a perimeter of 60 3 feet.

30°

L

91 units. Solve for