GEOM    S2  2013                             REVIEW FOR Final   Ch 6-12

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	1.	Find x.  Leave answer in radical form.

a.	2.5	
b.	2.3	
c.	1.9	
d.	3.6	

	2.	

a.	 	
b.	 -	
c.	 -	
d.		

	3.	Find the values of the variables and the lengths of the sides of this kite.

a.	x = 1, y = 10; 3, 15	
b.	x = 1, y = 10; 6, 8	
c.	x =10, y = 1; 6, 6	
d.	x =10, y = 1; 3, 15	

	4.	Find values of x and y for which ABCD must be a parallelogram. The diagram is not to 
scale.

a.	x = 8, y = 22	
b.	x = 7, y = 8	
c.	x = 8, y = 10 	
d.	x = 8, y = 7 	

	5.	Find the area of the triangle.

a.	12 yd2	
b.	59.5 yd2	
c.	24 yd2	
d.	119 yd2	

	6.	Find  in the kite. The diagram is not to scale.

a.	31, 59	
b.	59, 31	
c.	31, 31	
d.	59, 59	

Find the value of x. Round to the nearest degree.

	7.	
a.	63	
b.	62	
c.	25	
d.	28	

	8.	If  then 5a = ____.
a.	12b	
b.	6b	
c.	10b	
d.	5b	

	9.	The two rectangles are similar. Which is a correct proportion for corresponding sides?

a.		b.		c.		d.		

	10.	A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
a.	no; 	
b.	yes; 	
c.	yes; 	
d.	no; 	

	11.	The circumference of a circle is 38 cm.   Find the radius

a.	76 cm	
b.	4 cm	
c.	19 cm	
d.	19 38 cm	

Find the area of the parallelogram. The figure is not drawn to scale.

	12.	
a.		
b.		
c.		
d.		

	13.	
a.	1600 in.2	
b.	74 in.2	
c.	1344 in.2	
d.	148 in.2	

	14.	
a.	12.8 cm2	
b.	40.8 cm2	
c.	20.4 cm2	
d.	81.6 cm2	

	15.	Use Euler’s Formula to find the missing number.

Vertices: 18
Edges: 37
Faces:

a.	24	
b.	21	
c.	20	
d.	22	

	16.	To approach the runway, a small plane must begin a 10 descent starting from a height of 1793 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

a.	1.9 mi	
b.	2 mi	
c.	0.3 mi	
d.	10,325.5 mi	

	17.	Find the lateral area of the pyramid shown to the nearest whole number.

a.	4358 yd	
b.	3419 yd	
c.	2179 yd	
d.	1560 yd	

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

	18.	
a.		
b.		
c.		
d.		

	19.	
Not drawn to scale
a.	x = , y = 	
b.	x = 8, y = 	
c.	x = , y = 8	
d.	x = 24, y = 	

	20.	 are base angles of isosceles trapezoid JKLM. If  and 
a.	19	
b.	1	
c.	161	
d.	80.5	

	21.	Which Venn diagram is NOT correct?
a.		
b.		
c.		
d.		

	22.	Judging by appearances, which figure is a trapezoid?

a.		
b.		
c.		
d.		

Find the area of the trapezoid. Leave your answer in simplest radical form.

	23.	
a.	 ft2	
b.	 ft2	
c.	 ft2	
d.	 ft2	

	24.	Find the area of the rhombus.

a.	1296 m2	
b.	18 m2	
c.	72 m2	
d.	9 m2	

	25.	Find the center and radius of the circle with equation (x + 6) + (y – 4) = 64.

a.	center (6, –4); r = 64	
b.	center (–6, 4); r = 8	
c.	center (–6, 4); r = 64	
d.	center (–4, 6); r = 8	

	26.	Find the volume of the pyramid. Round answer to nearest whole number.

a.	47 ft	
b.	140 ft	
c.	none of these 	
d.	144 ft	

	27.	Find the volume of the sphere shown rounded to the nearest cubic unit.

a.	105 mm
	
b.	314 mm	
c.	524 mm	
d.	262 mm	

Find the volume of the given prism. Round to the nearest tenth if necessary.

	28.	
a.	584 ft	
b.	710 ft	
c.	720 ft	
d.	724 ft	

	29.	
a.	1 m	
b.	17 m	
c.	34 m	
d.	8.5 m	

	30.	WXYZ is a parallelogram. Name an angle congruent to 

a.		
b.		
c.		
d.		

	31.	LMNO is a parallelogram. If NM = x + 11 and OL = 2x + 8 find the value of x and then find NM and OL.

a.	x = 5, NM = 16, OL = 16	
b.	x = 5, NM = 14, OL = 16	
c.	x = 3, NM = 14, OL = 14	
d.	x = 3, NM = 16, OL = 14	

	32.	What is the missing reason in the proof?
Given: parallelogram ABCD with diagonal 
Prove: 

Statements	Reasons	
1. 	1. Definition of parallelogram	
2. 	2. Alternate Interior Angles Theorem	
3. 	3. Definition of parallelogram	
4. 	4. ?	
5. 	5. Reflexive Property of Congruence	
6. 	6. ASA	

a.	ASA	c.	Alternate Interior Angles Theorem	
b.	Reflexive Property of Congruence	d.	Definition of parallelogram	

Describe the cross section (shaded portion).

	33.	
a.	pentagon	
b.	square	
c.	trapezoid	
d.	cube	

	34.	Find AM in the parallelogram if PN =14 and AO = 4. The diagram is not to scale.

a.	14	
b.	8	
c.	7	
d.	4	

	35.	A model is made of a car. The car is 2 meters long and the model is 7 centimeters long. What is the ratio of the length of the car to the length of the model?
a.	7 : 200	
b.	2 : 7	
c.	7 : 2	
d.	200 : 7	

	36.	Write the tangent ratios for  and .

a.		
b.		
c.		
d.		

	37.	In the figure, the horizontal lines are parallel and  Find JM. The diagram is not to scale.

a.	7	
b.	14	
c.	28	
d.	21	

	38.	In parallelogram DEFG, DH = x + 4, HF = 5y, GH = 2x – 2, and HE = 3y + 4. Find the values of x and y. The diagram is not to scale.

a.	x = 3, y = 11 	
b.	x = 11, y = 3	
c.	x = 6, y = 2 	
d.	x = 2, y = 6 	

Solve the proportion.

	39.	
a.		b.	8	c.	32	d.		

Find the surface area of the pyramid shown
to the nearest whole number.

	40.	
a.	40 ft	
b.	44 ft	
c.	84 ft	
d.	14 ft	

	41.	Find the area.  

a.	77.2 in.2	
b.	607.32 in.2	
c.	303.66 in.2	
d.	36.7 in.2	

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	42.	Assume that lines that appear to be tangent are tangent. O is the center of the circle, where  27.  
Find the value of x. 

a.	31.5	
b.	63	
c.	117	
d.	54	

	43.	Assume that lines that appear to be tangent are tangent. O is the center of the circle, where  
 117.    Find the value of x.

a.	63	
b.	234	
c.	297	
d.	58.5	

Use Pythagorean Theorem to find the length of the missing side. The triangles is not drawn to scale.

	44.	
a.	8	
b.	64	
c.	23	
d.	4	

	45.	Identify a major arc that contains C.

a.	AC	
b.	CB	
c.	ACB	
d.	CBA	

	46.	A triangle has side lengths of 10 cm, 24 cm, and 25 cm. Classify it as acute, obtuse, or right.
a.	right	
b.	acute	
c.	obtuse	

	47.	ABCD is a parallelogram. If  then  The diagram is not to scale.

a.	93	
b.	174	
c.	103	
d.	87	

	48.	Find the slant height x of the pyramid shown to the nearest tenth.

a.	10.8 mm	
b.	4.95 mm	
c.	6.7 mm	
d.	7.5 mm	

	49.	Find x to the nearest tenth.

a.	10.9	
b.	1.7	
c.	2.5	
d.	28.1	

	50.	Write the standard equation of the circle in the graph.

a.	(x + 3) + (y – 2) = 18	
b.	(x – 3) + (y + 2) = 18	
c.	(x + 3) + (y – 2) = 9	
d.	(x – 3) + (y + 2) = 9	

	51.	Name the minor arc and find its measure.

a.	arc ADB; 310°	
b.	arc AB; 310°	
c.	arc ADB; 50°	
d.	arc AB; 50°	

	52.	For the parallelogram, if  and  find  The diagram is not to scale.

a.	156	
b.	166	
c.	24	
d.	11	

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	53.	Find the value of x. If necessary, round your answer to the nearest tenth. 
The figure is not drawn to scale.

a.	12.2	
b.	8.6	
c.	74	
d.	7.1	

	54.	Find the length of the hypotenuse.

a.	12	
b.	18	
c.	5	
d.	6	

	55.	 is tangent to circle A at B and to circle D at C, where AB = 6, BC = 20, and DC = 2. 
Find AD to the nearest tenth.

a.	20.4	b.	20.1	c.	21.5	d.	20.9	

	56.	Find x.. Leave answer in simplest radical form.

a.		
b.		
c.		
d.		

	57.	Find the surface area of the hexagonal pyramid.

a.	231 m	
b.	513 m	
c.	1,025 m	
d.	488 m	

Find the value of x. Round your answer to the nearest tenth.

	58.	
a.	3.5	
b.	6.9	
c.	2	
d.	2.3	

	59.	Find the surface area of the sphere with the diameter of 12 cm. Leave your answer in terms 
of .
a.	24 cm	
b.	144 cm	
c.	576 cm	
d.	72 cm	

	60.	Find the missing side.

a.	 cm	
b.	 cm	
c.	 cm	
d.	 cm	

	61.	A kite has diagonals 7.7 ft and 5 ft. What is the area of the kite?

a.	38.5 ft2	
b.	19.25 ft2	
c.	25.4 ft2	
d.	6.35 ft2	

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	62.	Find the area of the circle.  Leave your answer in terms of .

a.	57.76 m2	
b.	28.88 m2	
c.	14.44 m2	
d.	18.2 m2

	63.	Find the surface area of the cylinder to the nearest whole number.

a.	2827 in.	
b.	10097 in.	
c.	4631 in.	
d.	1414 in.	

Find the value of x to the nearest degree.

	64.	
a.	59	
b.	71	
c.	28	
d.	62	

	65.	The isosceles trapezoid is part of an isosceles triangle with a 48° vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale.

a.	48°; 132°	
b.	48°; 114°	
c.	66°; 132°	
d.	66°; 114°	

	66.	Which statement is true?
a.	All quadrilaterals are parallelograms.	
b.	All parallelograms are quadrilaterals.	
c.	All parallelograms are rectangles.	
d.	All rectangles are squares.	

	67.	If    and  find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.

a.	x = 8, y = 	
b.	x = 13, y = 	
c.	x = 8, y = 	
d.	x = 13, y = 	

	68.	In the parallelogram,  and  Find  The diagram is not to scale.

a.	64	
b.	128	
c.	118	
d.	64	

	69.	Find the values of the variables in the parallelogram. The diagram is not to scale.

a.	  	
b.	  	
c.	  	
d.	  	

Find the volume of the cone shown as a decimal rounded to the nearest tenth.

	70.	
a.	4,955.3 m	
b.	762.4 m	
c.	1,858.3 m	
d.	1,238.8 m	

	71.	Find the slant height of the cone to the nearest whole number.

a.	18 m	
b.	21 m	
c.	19 m	
d.	23 m	

	72.	Which description does NOT guarantee that a quadrilateral is a kite?
a.	one diagonal bisects opposite angles and the other diagonal does not	
b.	two distinct pairs of congruent adjacent sides	
c.	perpendicular diagonals, exactly one of which bisects the other	
d.	perpendicular diagonals	

	73.	Find the values of a and b.The diagram is not to scale.

a.	 	
b.	 	
c.	 	
d.	 	

	74.	Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show the inside of his model, so he sliced the figure as shown. Describe the cross section he created.

a.	hexagon	
b.	pyramid	
c.	rectangle	
d.	pentagon	

	75.	 and  are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)

a.	310	
b.	50	
c.	274	
d.	216	

	76.	ABCD ~ WXYZ. AD = 6, DC = 3, and WZ = 46. Find YZ. The figures are not drawn to scale.

a.	92	
b.	17.3	
c.	138	
d.	23	

	77.	For the parallelogram, find coordinates for P without using any new variables.

a.	(c, a)	
b.	(a – c, c)	
c.	(a + c, b)	
d.	(c, b)	

	78.	In the figure, the horizontal lines are parallel and  Find KL and FG. The diagram is not to scale.

a.	KL = 8.9, FG = 7.2	
b.	  	
c.	KL = 8.9, FG = 8.9	
d.	KL = 7.2, FG = 7.2	

	79.	 What is the measure of ?

a.	35°	
b.	110°	
c.	250°	
d.	70°	

	80.	Find the measure of BAC. (The figure is not drawn to scale.)

a.	23	
b.	44	
c.	46	
d.	92	

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	81.	Find the circumference.   Leave your answer in terms of .

a.	 cm	b.	 cm	c.	 cm	d.	 cm	

	82.	Which description does NOT guarantee that a quadrilateral is a square?
a.	has all sides congruent and all angles congruent	
b.	is a parallelogram with perpendicular diagonals	
c.	has all right angles and has all sides congruent	
d.	is both a rectangle and a rhombus	

GEOM    S2  2013                             REVIEW FOR Final   Ch 6-12
Answer Section

MULTIPLE CHOICE

	1.	D

	2.	D

	3.	B

	4.	D

	5.	B

	6.	A

	7.	B

	8.	B

	9.	D

	10.	D

	11.	C

	12.	D

	13.	C

	14.	C

	15.	B

	16.	B

	17.	C

	18.	D

	19.	D

	20.	C

	21.	A

	22.	A

	23.	B

	24.	C

	25.	B

	26.	A

	27.	C

	28.	C

	29.	B

	30.	C

	31.	C

	32.	C

	33.	B

	34.	D

	35.	D

	36.	B

	37.	D

	38.	C

	39.	C

	40.	B

	41.	C

	42.	B

	43.	A

	44.	A

	45.	D

	46.	B

	47.	A

	48.	D

	49.	A

	50.	D

	51.	D

	52.	A

	53.	B

	54.	D

	55.	A

	56.	C

	57.	B

	58.	B

	59.	B

	60.	C

	61.	B

	62.	C

	63.	A

	64.	D

	65.	D

	66.	B

	67.	D

	68.	B

	69.	D

	70.	D

	71.	B

	72.	D

	73.	B

	74.	D

	75.	D

	76.	D

	77.	C

	78.	A

	79.	D

	80.	A

	81.	A

	82.	B