Geometry Semester 2 Exam REVIEW with Notes

Geometry Semester 2 Exam Review

-Unit 6: Similarity
-Unit 7: Right Triangles
-Unit 8: Trigonometry
-Unit 9: Polygons
-Unit 10: Circles
-Unit 11: Area
-Unit 12: Surface Area and Volume

Unit 6: Similarity
Triangle Congruence Theorems

Multiple Choice

What Triangle Congruence Theorem you can use to prove that the triangles are congruent?

• ASA

• SAS

• SSS

• AAS

• HL

Multiple Choice

What Triangle Congruence Theorem you can use to prove that the triangles are congruent?

• ASA

• SAS

• SSS

• AAS

• HL

Unit 6: Similarity
Proportions to Solve Problems

Multiple Choice

Solve the proportion:

• 15
• 5
• 10
• 12

Multiple Choice

For the pair of similar figures, find the length of each side marked with a variable.

• 13.4 cm
• 15 cm
• 12.5 cm
• 7.2 m

Unit 7: Right Triangles
Pythagorean Theorem

Multiple Choice

_{^{Find the missing side.}}

• 9
• 41
• 6.4
• 6.2

Multiple Choice

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Multiple Choice

Does the set of numbers represent a right triangle?

20, 25, 15

• Yes

• No

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Unit 7: Right Triangles
Special Right Triangles

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Equiangular
• Equilateral

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Isosceles
• Obtuse

Multiple Choice

Find a.

• 12
• 24
• 24√3
• 16

Multiple Choice

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Unit 8: Trigonometry

Multiple Choice

What is the saying used to remember the trigonometric functions?

• SOH CAH TOA

• SAH COH TAO

• COH SAH TOA

• SOH COH TOH

Multiple Choice

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine
• cosine
• tangent
• cotangent

Multiple Choice

Solve for x. Round to the nearest tenth.

• 7.5
• 34.1
• 14.1

Multiple Choice

What is the length of side x?

• 6.57 cm
• 7 cm
• 7.44 cm
• 26.33 cm

Unit 9: Polygons

Multiple Choice

Is this a polygon?

• Yes

• No

Multiple Choice

Is this a polygon?

• Yes

• No

Multiple Choice

What is the SUM of the angle measures in a nonagon (9 sides)?

• 1440°
• 900°
• 1080°
• 1260°

Unit 9: Polygons
Quadrilateral Properties

​-Review the flow chart of properties for each quadrilateral.

-Notice that squares, rhombi, and rectangles all share the same properties as parallelograms.

Multiple Choice

Quadrilateral WXYZ is a rhombus. If < W is 50, what is < 2?

• 25

• 60

• 45

• 90

Multiple Choice

This is a parallelogram. What is the value of x?

• 7

• 12

• 112

• 68

Multiple Choice

Kite ABCD is shown.
If AC = 44, what is EC?

• 44
• 11
• 88
• 22

Multiple Choice

Find CD

• 12

• 24

• 18

• 36

Unit 10: Circles
Equation of a Circle

Multiple Choice

Write the equation of the circle.

• (x+1)² + (y +1)² = 3
• (x+1)² + (y -1)² = 3
• (x+1)² + (y +1)² = 9
• (x-1)² + (y -1)² = 9

Multiple Choice

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

Multiple Choice

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Unit 10: Circles
Circle Properties

Multiple Choice

Find the measure of arc NM

• 192^o

• 217^o

• 186^o

• 124^o

Multiple Choice

• x = 160
• x = 40
• x = 80
• x = 360

Multiple Choice

What is the measure of angle 2?

• 80
• 45
• 125
• 40

Multiple Choice

Find the value of m.

• 4

• 9

• 14

• 16

Unit 10: Circles
Arc Length & Area of Sectors

Multiple Choice

What is the arc length of minor arc AB?

• 5.23
• 103
• 33.33
• 50

Multiple Choice

What is the area of the shaded sector?

• 339.12 in²
• 113.04 in²
• 339.29 in²
• None of the above

Unit 11: Area

Multiple Choice

Find the area:

• 40 yd
• 40 yd²
• 80 yd²
• 18 yd²

Multiple Choice

What is the area of this trapezoid?

• 320 square centimeters

• 416 square centimeters

• 448 square centimeters

• 560 square centimeters

Multiple Choice

What is the area of this kite?

• 336in ²
• 552in ²
• 336 in
• 456in ²

Multiple Choice

A line from the center of a regular polygon at right angles to any of its sides.

• apothem
• radius
• permimeter
• area

Unit 12: Surface Area & Volume

​Surface Area

​Volume

Multiple Choice

What shape will the cross section be?

• Circle

• Triangle

• Square

• Trapezoid

Multiple Choice

A polyhedron has 5 vertices and 8 edges. Use Euler's Formula to determine how many faces it has.

F + V = E + 2

• 10

• 5

• 8

• 13

Multiple Choice

Find the total surface area of the prism.

• 161 square feet
• 1,700 square feet
• 75 square feet
• 186 square feet

Multiple Choice

Find the SURFACE AREA to the nearest hundredth.

• 6658.56 mm²

• 452.16 mm²

• 904.32 mm²

• 108.8 mm²

Multiple Choice

Find the volume of the rectangular prism.

• 55 yd³

• 121 yd³

• 22 yd³

• 330 yd³