Honors Geometry Semester 2 Final Exam Review

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

• $y=2x+8$

• $y=-\frac{1}{2}x-3$

• $y=2x$

• $y=-\frac{1}{2}x+3$

Tags

CCSS.HSG.GPE.B.5

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.

• 28.98 units

• 32.31 units

• 27.79 units

• 25.75 units

Tags

CCSS.HSG.GPE.B.7

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

• Acute Triangle

• Obtuse Triangle

• Right Triangle

• No Triangle can be Formed

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.D.11

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.

• $22\degree$

• $66\degree$

• $24\degree$

• $37\degree$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

•  $-\frac{1}{2}$  

•  $-\frac{\sqrt{3}}{2}$  

•  $-2$  

•  $-\frac{2\sqrt{3}}{3}$  

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.C.8

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

•  $300\degree;\ -60\degree$  

•  $150\degree;\ -210\degree$  

•  $270\degree;\ -90\degree$  

•  $120\degree;\ -240\degree$  

Tags

CCSS.HSF.TF.A.4

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

• 7.32 cubic inches

• 9.42 cubic inches

• 2.09 cubic inches

• 5.23 cubic inches

Tags

CCSS.HSG.GMD.A.3

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.

• 27.2 g/mL

• 0.07 g/mL

• 6885 g/mL

• 13.6 g/mL

Tags

CCSS.HSG.MG.A.2

CCSS.HSN.Q.A.1

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

• x = 38

• x = 40

• x = 10

• x = 40.7

Tags

CCSS.HSA.REI.B.4

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

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

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

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

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

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

Tags

CCSS.HSG.GPE.A.1