MATH FINAL chapter 7

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Find the area of an equilateral triangle with a side length of 14 inches. A. about 12.1 in B. about 42 in C. about 84.9 in D. about 254.6 in

C. about 84.9 in

Given B(-4, -6), under which reflection is B*1(4,6)? A. reflected in the x-axis B. reflected in the y-axis C. reflected in the origin D. reflected in y=x

C. reflected in the origin

Find the coordinated of X*1 with X(6,5) for a dilation centered at the origin with a scale factor of -2. A. X*1(-10,-12) B. X*1 (10,12) C. X*1 (12,10) D. (-12,-10)

D. (-12,-10)

Find the Geometric mean between 20 and 5. A. 100 B. 50 C.12.5 D. 10

D. 10

Find the area of a circle with a circumference of 20pi A.400pi B. 314pi C. 200pi D. 100pi

D. 100pi

Find cos A in triangle ABC. A. 7/24 B. 7/25 C. 25/24 D. 24/25

D. 24/25

To find the distance between two points A and B on opposite sides of a river, a surveyor measures the distance from A to C as 200 ft, m<A = 72, and m<B = 37. Find the distance from A to B. Round your answer to the nearest tenth. A. 77.4 ft B. 201.2 ft C. 250.4 ft D. 314.2 ft

D. 314.2 ft

a sphere has a volume of 972pi cubic inches. Find the radius of the sphere. A. 2 in B. 3 In C. 6 in D. 9 in

D. 9 in

What set of measures could represent the sides of a right triangle A. 2,3,4 B. 7,11,14 C. 8,10,12 D. 9,12,15

D. 9,12,15

Choose a pair of base angles of a trapezoid ABCD. A. <A, <C B. <B, <D C. <A, <D D. <D, <C

D. <D, <C

ABCD is a rectangle with A(0,0), B(b,0) and D(0,a). Find the coordinates of C. A. C(a,b) B. C(b,a) C. C(-b,a) D. C(a + b, a)

D. C(a +b, a)

Given trapezoid ABCD with median EF, which of the following is true?

D. EF = BC + AD / 2

In triangle QRS <R is a right Which is the ratio for the tangent of <S?

D. Measure of leg opposite <S/ measure of leg adjacent to <S

Which term describes this tessellation? A. regular B. Semi-regular C. not uniform D. uniform

D. Uniform

What is the image of X (3,5) under the translation (x,y) -> (x-4, y+6)? A. X*(7, -1) B. X*(-1,-1) C. X*(7,11) D. X*(-1,11)

D. X*(-1,11)

Identify the shape of a horizontal cross section of the figure. A. triangle B. ellipse C. rectangle D. circle

D. circle

The lateral area of a cube is 36 square inches. How long is each edge? F. sqrt 6 in G. 3 in H. 6 in J. 9 in.

G. 3 in

In trapezoid DEFG, find m<D.A. 44 B. 72 C. 108 D. 136

A. 44

If m<X = 126, find m < Z. A. 54 B. 63 C. 90 D. 126

A. 54

If AB = 12 centimeters, OE = 4 centimeters, and OF = 4 centimeters in O O, find CF A. 6 cm B. 8 cm C. 12 cm D. 24 cm

A. 6 cm

a cylinder whose height is 5 meters has a volume of 320pi cubic meters. find a radius of the cylinder A. 8 m B. 12.8 m C. 64 m D. 201 m

A. 8 m

In triangle DEF, d=20, e= 25 and f = 30. Find m<F to the nearest tenth. A. 82.8 B. 75.5 C. 55.8 D. 47.2

A. 82.8

If the length of one base of a trapezoid is 44, the median is 36 and the other base is 2x + 10, find x. A.9 B. 17 C. 21 D. 40

A. 9

Which is the angle of depression in the figure at the right? A. <AOT B. AOB C. <TOB D. BTO

A. <AOT

Name the image of C(6,-4) under rotation 90 degrees counterclockwise about the origin. A. C*1(4,6) B. C*1(-4, -6) C. C*1(6,4) D. C*1(-6,-4)

A. C*1(4,6)

Given A(3, -7), under which reflection is A+(3,7). A. reflection in the x-axis B. reflection in the y-axis C. refection in the origin D. reflection in Y=x

A. reflection in the x-axis

Find the radius of the circle whose equation is (x +3)*2 + (y-7)*2 = 289 A.7 B. 17 C. 34 D. 289

B. 17

Two square pyramids are similar. The sides of the bases are 4 inches and 12 inches. The height if the smaller pyramid is 6 inches. Find the height of the larger pyramid. A. 14 in B. 18 in C. 16 in D. 14 in

B. 18 in

The bases of a trapezoid are 12 and 26. Find the length of the median. A.12 B. 19 C. 26 D. 38

B. 19

find the area of a rhombus ABCD with vertices A(-1,3) B(3,0) C(-1,-3) and D(-5,0) A. 8 units B. 24 units C. 26 units D. 32 units

B. 24 units

Find m<PRS in square PQRS. A. 30 B. 45 C. 60 D. 90

B. 45

Find the magnitude of line AB with A(3,4) and B(-1,7) (distance) A. <4,-3> B. 5 C. squareroot of 13 D. 25

B. 5

Find the sum of the measures of the interior angles of a convex 30-gon A. 5400 B. 5040 C. 360 D. 168

B. 5040

Find the third side of a triangular garden if two sides are 8 feet and 12 feet and the included angle has a measure of 50. A. 7.8 ft B. 9.2 ft C. 14.4 ft D. 146.3 ft

B. 9.2 ft

Find y in triangle XYZ to the nearest tenth if m<Y = 36, m<X = 49, and x=12. A. 0.04 B. 9.35 C. 14.80 D. 15.41

B. 9.35

FInd the image of A(3,7) under a translation by a = <-4,2> A. A*1(-7,-5) B. A*1(-1,9) C. A*1 (7,5) D. A*1(1,-9)

B. A*1(-1,9)

Find the equation of a circle whose enter is at the origin and radius is 4.

B. X*2 + y*2 = 16

Identify the figure 0> A. pyramid B. cone C. prism D. cylinder

B. cone

what is the best classification of quadrilateral PQRS with vertices P(2,2) Q(-1,2) R(-1,-3) and S (2,-3)? A. square B. rectangle C. parallelogram D. none of these

B. rectangle

What type of dilation occurs with a scale factor of 1/4? A. enlargement B. reduction C. congruence transformation D. Inverse transformation

B. reduction

Which figure could tessellate the plane? A. regular pentagon B. regular hexagon C. regular octagon D. regular heptagon

B. regular hexagon

What do dark segments represent in an orthographic drawing? A. changes in color B. where paper should be folded C. designs on the surface D. different heights in the surface

B. where paper should be folded

Joe's old graphing calculator had 96 pixels across the screen. His new calculator has 144 pixels. Find the scale factor by which he increased hiss screen size. A. 1/2 B. 2/3 C. 3/2 D. 48

C. 3/2

Find the sum of the measures of the angles of the polygons in a tessellation at a vertex. A. 90 B. 180 C. 360 D. 720

C. 360

Find the sum of the measures of the exterior angles of a convex 21-gon. A. 21 B. 180 C. 360 D. 3420

C. 360

If the radius of a circle is 6 feet, find the circumference to the nearest hundredth A. 8.42 ft B. 18.85 ft C. 37.70 ft D. 113.10

C. 37.70 ft

Use a right cylinder with a radius of 3 inches and a height of 17 inches. round to the nearest tenth Find the surface area A. 320.4 in B. 348.7 in C. 377.0 in D. 537.2 in

C. 377.0 in

How many lines of symmetry does a square have? A.0 B. 2 C. 4 D. 8

C. 4

Given rhombus ABCD, Find m< 1. A. 45 B. 60 C. 90 D. 120

C. 90

Find the component form of line AB with A(2,3) and B(-4,6). (translate A to B) A. <-2,9> B. <2,-9> C. <-6,3> D. <6,-3>

C. <-6,3>

What type of dilation occurs with a scale factor of 3/2? A. enlargement B. reduction C. congruence transformation D. inverse transformation

A. Enlargement

Find the length of PQ in O R to the nearest hundredth. A. 9.42 m B. 4.71 m C. 3.14 m C. 1.57

C. 3.14 m

Name a chord A. XB B. XC C. BC D. AC

C. BC

If MN, NO, and MO are tangent to O P, find x A. 2 m B. 5 m C. 6 m D. 8 m

D. 8 m

a square pyramid has a height that is 8 centimeters long and a base with sides that are each 9 centimeters long. Find the volume of the pyramid. F. 647 cm3 G. 324 cm3 H. 216 cm3 J. 162 cm3

H. 216 cm3

ABCD is a rectangle with B(-5,0), C(7,0) and D(7,3). Find the coordinates of A. A. (-5,7) B. (3,5) C. (-5, 3) D. (7, -3)

C. (-5,3)

If triangle A*1 B*1 C*1is the image of triangle ABC under a dilation with center at (0,0). Find the scale factor. A. 3 B. 2/3 C.1/3 D. -1/3

C. 1/3

Find the area of trapezoid ABCD with vertices A(1,-2) B,(5,-2), C(4,4) and D(1,4). A. 6.5 units B. 14 units C. 21 units D. 36 units

C. 21 units

Find the radius of a circle if a 48-meter chord is 7 meters from the center. A. 14 m B. 24 m C. 25 m D. 41 m

C. 25 m

Use a right cylinder with a radius of 3 inches and a height of 17 inches. round to the nearest tenth Find the lateral area F. 320.4 in G. 348.7 in H. 377.0 in J. 537.2 in

F. 320.4 in

find the area of a rectangle octagon with a perimeter of 96 centimeters. A about 695.3 cm B. about 576 cm C. about 288 cm D. about 119.3 cm

A about 695.3 cm

ABCD is a parallelogram with A(0,0), B(2,4) C.(10,4). Find the coordinates of D. A. (0,8) B. (10,0) C. (0,4) D.(10,8)

A. (8,0)

If the measure of each interior angle of a regular polygon is 108, find the measure of each exterior angle. A. 18 B. 72 C. 90 D.108

A. 18

ABCD is a rectangle with diagonals AC and BD. If AC = 2x + 10 and BD = 56, find x. A. 23 B. 33 C. 78 D. 122

A. 23

in triangle ABC, a = 12, b = 8, and m<A = 40. Find m<B to the nearest tenth. A. 25.4 B. 56.3 C. 59.3 D. 74.6

A. 25.4

Find the angle of elevation of the sun when a pole 25 feet tall casts a shadow 42 ft long. A.30.8 B. 36.5 C.53.5 D.59.2

A. 30.8

Find the image of P(-2,4) under a translation by the vector b = <6,5> A. P*1(4,9) B. P*1 (-4, -9) C. P*1(-8,-1) D. P*1(8,1)

A. P*1(4,9)

Which of the following is a property of a parallelogram? A. the diagonals are congruent B. The diagonals bisect the angles C. The diagonals are perpendicular D. The diagonals bisect each other

A. The diagonals are congruent

Name a radius A. XB B. AB C. BC D. AC

A. XB

The length of the sides of a square is 10 meters. Find the length of the diagonal of the square. A. 10 m B. 10 square roots of 2 m C. 10 square root of 3 D. 20m

B. 10 square roots of 2m

If mAB = 72 in O C, find m < BCD. A. 72 B. 108 C. 144 D. 180

B. 108

Name the image of BC under reflection in line m. A. BC B. BA C. AC D. line l

B. BA

Which transformation moves all points the same direction in the same direction? A. rotation B. translation C. reflection D. dilation

B. Translation

Which of the following is a property of all rectangles? A. four congruent sides B. diagonals bisect the angles C. diagonals are perpendicular D. four right angles

B. diagonals bisect the angles

To prove the diagonals of a square bisect each other, you would position and label a square in the coordinate plane and then find which of the following? A. measures of the angles B. midpoints of the diagonals C. lengths of the diagonals D. slopes of the diagonals

B. midpoint of the diagonals

Name a tangent A. AB B. BC C. AC D. BD

D. BD

The surface area of a cube is 96 square feet. find the volume of the cube. F. 4 ft3 G. 16 ft3 H. 64 Ft3 J. 256 ft3

H. 64 Ft3

Which property is changed by a translation? A. collinearity B. Angle measure C. distance measure D. position

d. Position


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