GEOM                  CH 10  PRACTICE

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	1.	A kite has diagonals 5.2 ft and 10 ft. What is the area of the kite?

a.	26 ft2	
b.	7.6 ft2	
c.	52 ft2	
d.	30.4 ft2

	

	2.	A kite has diagonals 9.9 ft and 10 ft. What is the area of the kite?

a.	49.5 ft2	
b.	9.95 ft2	
c.	99 ft2	
d.	39.8 ft2

	

	3.	
a.	 ft2	
b.	 ft2	
c.	 ft2	
d.	 ft2	

	4.	Find the area of the rhombus.

a.	12 m2	
b.	4096 m2	
c.	128 m2	
d.	32 m2	

	5.	Find the area of a polygon with the vertices of 
(–2, 3), (1, 3), (5, –3), and (–2, –3).
a.	120 units2	
b.	7 units2	
c.	30 units2	
d.	60 units2	

	6.	An isosceles triangle has area of 115 ft2. If the base is 10 ft, what is the length of the legs? Round your answer to the nearest tenth.
a.	25.1 ft	
b.	23.5 ft	
c.	15.2 ft	
d.	629 ft	

	7.	An isosceles triangle has area of 110 ft2. If the base is 14 ft, what is the length of the legs? Round your answer to the nearest tenth.
a.	21 ft	
b.	17.2 ft	
c.	14.8 ft	
d.	442.9 ft	

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	8.	Find the area of a parallelogram with the given vertices.
P(–1, –1), Q(9, –1), R(2, 6), S(12, 6)
a.	70 units2	
b.	35 units2	
c.	140 units2	
d.	none of these	

	9.	P(1, 3), Q(3, 3), R(7, 8), S(9, 8)
a.	10 units2	
b.	5 units2	
c.	20 units2	
d.	none of these	

	10.	Find the area of a regular hexagon with an apothem 13.9 yards long and a side 16 yards long. Round your answer to the nearest tenth.

a.	1330.2 yd2	
b.	667.2 yd2	
c.	110.9 yd2	
d.	443.4 yd2	

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

	11.	
a.	99 yd2	
b.	10 yd2	
c.	20 yd2	
d.	49.5 yd2

	

	12.	
a.		
b.		
c.		
d.		

	13.	
a.	77.2 in.2	
b.	80 in.2	
c.	75 in.2	
d.	70 in.2

	

	14.	

a.	144.5 cm2	
b.	127 cm2	
c.	172 cm2	
d.	50 cm2	

	15.	
a.	1188 in.2	
b.	69 in.2	
c.	138 in.2	
d.	1440 in.2	

	16.	
a.	10.8 cm2	
b.	5.4 cm2	
c.	21.6 cm2	
d.	7.4 cm2	

	17.	
a.	607.32 in.2	
b.	36.7 in.2	
c.	303.66 in.2	
d.	77.2 in.2	

	18.	Given the regular polygon, find the measure of each numbered angle.

a.		
b.		
c.		
d.		

	19.	Find x and y rounded to the nearest tenth.

a.	x = 48.1, y = 46.4	
b.	x = 48.1, y = 139.3	
c.	x = 24.0, y = 139.3	
d.	x = 24.0, y = 46.4

	

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

a.		
b.		
c.		
d.		

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	21.	Find x.  Leave answer in radical form.

a.	5.2	
b.	3.5	
c.	3	
d.	10.4	

	22.	The area of a parallelogram is 420 cm2 and the height is 35 cm. Find the corresponding base.
a.	385 cm	
b.	455 cm	
c.	14,700 cm2	
d.	12 cm	

	23.	A parallelogram has sides 19.5 m and 40.5 m. The height corresponding to the 19.5-m base is 8.1 m. Find the height, to the nearest tenth of a meter, corresponding to the 40.5-m base.
a.	3.9 m	
b.	16.8 m	
c.	6397 m	
d.	none of these	

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

a.		
b.		
c.		
d.		

	25.	The area of a regular hexagon is 35 in.2. Find the length of a side. Round your answer to the nearest tenth.
a.	3.7 in.	
b.	4.8 in.	
c.	6.4 in.	
d.	13.5 in.	

	26.	Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth.
a.	55.4 m2	
b.	166.3 m2	
c.	83.1 m2	
d.	288 m2	

	27.	Find the area of an equilateral triangle with side 12.
a.		
b.	72	
c.	36	
d.		

	28.	Find the area of the regular polygon. Round your answer to the nearest tenth.

a.	176.6 in.2	
b.	966.1 in.2	
c.	80.0 in.2	
d.	483.0 in.2	

	29.	Find the area of an equilateral triangle with radius 8 m. Leave your answer in simplest radical form.
a.	 m2	
b.	 m2	
c.	 m2	
d.	 m2	

The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

	30.	
a.	 and 	
b.	 and 	
c.	 and 	
d.	 and 	

	31.	
a.	5 : 6 and 25 : 36	
b.	6 : 7 and 36 : 49	
c.	5 : 6 and 36 : 49	
d.	6 : 7 and 25 : 36	

	32.	The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the perimeters? Of the areas?
a.	8 : 7 and 64 : 49	
b.	9 : 8 and 64 : 49	
c.	9 : 8 and 81 : 64	
d.	8 : 7 and 81 : 64	

The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

	33.	The area of the larger triangle is 1589 ft.

a.	1217 ft	
b.	1225 ft	
c.	1600 ft	
d.	2075 ft	

	34.	The area of the smaller trapezoid is 558 m.

a.	3147 m	
b.	3249 m	
c.	576 m	
d.	14 m	

	35.	Two trapezoids have areas 432 cm and 48 cm. Find their ratio of similarity.
a.	3 : 1	
b.	9 : 1	
c.	1 : 3	
d.	1 : 9	

	36.	Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of  and .
a.	3 : 5; 3: 5	
b.	9 : 25; 3 : 5	
c.	3 : 5; 9 : 25	
d.	9 : 25; 9 : 25	

Find the area of the regular polygon. Give the answer to the nearest tenth.

	37.	pentagon with side 10 cm
a.	344.1 cm	
b.	34.4 cm	
c.	137.6 cm	
d.	172 cm	

	38.	hexagon with side 8 yd
a.	332.6 yd	
b.	12 yd	
c.	41.6 yd	
d.	166.3 yd	

	39.	decagon with side 4 cm
a.	123.1 cm	
b.	129.4 cm	
c.	246.2 cm	
d.	139.8 cm	

	40.	dodecagon with perimeter 108 cm
a.	1813.8 cm	
b.	906.9 cm	
c.	923.6 cm	
d.	938.9 cm	

	41.	pentagon with radius 8 m
a.	304.3 m	
b.	152.2 m	
c.	30.4 m	
d.	154.2 m	

GEOM                  CH 10  PRACTICE
Answer Section

MULTIPLE CHOICE

	1.	A

	2.	A

	3.	D

	4.	C

	5.	C

	6.	B

	7.	B

	8.	A

	9.	A

	10.	B

	11.	D

	12.	A

	13.	D

	14.	A

	15.	A

	16.	B

	17.	C

	18.	B

	19.	D

	20.	C

	21.	D

	22.	D

	23.	A

	24.	D

	25.	A

	26.	B

	27.	A

	28.	D

	29.	B

	30.	D

	31.	A

	32.	A

	33.	A

	34.	A

	35.	A

	36.	A

	37.	D

	38.	D

	39.	A

	40.	B

	41.	B