Free Printable Honors Geometry Semester 2 Final Exam Review

1.

Write an equation of a line that passes through the point (-2, 4) and is perpendicular to the line y = 2x − 8.

a)

$y=2x+8$

b)

$y=-\frac{1}{2}x-3$

c)

$y=2x$

d)

$y=-\frac{1}{2}x+3$

2.

Find the perimeter of a quadrilateral with vertices at C (−3, 2), D (5, 7), E (-2, 0), and F (6, −1). Round your answer to the nearest hundredth when necessary.

a)

28.98 units

b)

32.31 units

c)

27.79 units

d)

25.75 units

3.

Determine if the following numbers can represent the side lengths of a triangle. If so, determine if the triangle is acute, obtuse or right.

4, 7, 10

a)

Acute Triangle

b)

Obtuse Triangle

c)

Right Triangle

d)

No Triangle can be Formed

4.

A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feet on the wall. Find to the nearest degree, the angle the ladder makes with the wall.

a)

$22\degree$

b)

$66\degree$

c)

$24\degree$

d)

$37\degree$

5.

Find the $\csc\left(\frac{7\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

$-\frac{\sqrt{3}}{2}$

c)

$-2$

d)

$-\frac{2\sqrt{3}}{3}$

6.

Find the "first" positive and negative coterminal angles for $3870\degree$

a)

$300\degree;\ -60\degree$

b)

$150\degree;\ -210\degree$

c)

$270\degree;\ -90\degree$

d)

$120\degree;\ -240\degree$

7.

Find the total volume of the ice cream cone pictured above. Use 3.14 for π.

a)

7.32 cubic inches

b)

9.42 cubic inches

c)

2.09 cubic inches

d)

5.23 cubic inches

8.

Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL. The mercury used to fill the cylinder weighs 306.0 g. From this information, calculate the density of mercury.

a)

27.2 g/mL

b)

0.07 g/mL

c)

6885 g/mL

d)

13.6 g/mL

9.

Quadrilateral ABCD is inscribed in the circle. Find the value of x.

a)

x = 38

b)

x = 40

c)

x = 10

d)

x = 40.7

10.

Complete the square to write the equation of the circle in standard form. Then find the center and the radius. $x^2+y^2+4x+10y=7$

a)

$\left(x+5\right)^2+\left(y+2\right)^2=36$ $C:\left(5,2\right)\ r=36$

b)

$\left(x+2\right)^2+\left(y+5\right)^2=36$ $C:\left(2,5\right)\ r=36$

c)

$\left(x+5\right)^2+\left(y+2\right)^2=36$ $C:\left(-5,-2\right)\ r=6$

d)

$\left(x+2\right)^2+\left(y+5\right)^2=36$ $C:\left(-2.-5\right)\ r=6$

Honors Geometry Semester 2 Final Exam Review

Total questions: 10

Worksheet time: 50mins

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