PP Solid Objects Segments Intersections & Perimeters Exercise Examples

I’m working on a algebra practice test / quiz and need an explanation to help me understand better.

1.

Which of the following segments is skew to ?

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B.

C.

D.

Question2.

Which of the following segments is parallel to ?

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B.

C.

D.

Question3.

Which of the following segments does not intersect ?

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B.

C.

D.

Question4.

Which of the following does BHDC describe?

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a point

B.

a line

C.

a plane

D.

a ray

Question5.

What is ?

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22°

B.

68°

C.

158°

D.

202°

Question6.

If l m, what is ?

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180°

B.

68°

C.

158°

D.

202°

Question7.

What is the perimeter of a regular pentagon with a side length of 4.9 cm?

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4.9 cm

B.

14.7 cm

C.

24.5 cm

D.

29.4 cm

Question8.

What is the perimeter of a square that has a side length of ft?

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B.

C.

3 ft

D.

4 ft

Question9.

How many diagonals does a hexagon have?

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6

B.

9

C.

12

D.

18

Question10.

Classify the triangle by its sides and angles.

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isosceles right triangle

B.

acute right triangle

C.

equilateral right triangle

D.

scalene right triangle

Question11.

What is the perimeter of a regular hexagon with a side length of 6.3 cm?

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25.2 cm

B.

31.5 cm

C.

37.8 cm

D.

50.4 cm

Question12.

If , then which of the following statements must also be true?

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B.

C.

D.

Question13.

Which of the following is the correct congruence statement for this figure if = = 90°?

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by ASA

B.

by SSS

C.

by ASA

D.

by SAS

Question14.

If quadrilateral JKLMquadrilateral PQRS, which of the following is a correct congruence statement?

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B.

C.

D.

Question15.

To the nearest degree, what would be the measure of the central angle that represents 46% of a circle graph?

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100

B.

150

C.

180

D.

166

Question16.

Using 3.14 for , and calculating to the nearest tenth of a centimeter, what is the circumference of a circle that has a radius of 2.5 cm?

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15.7 cm

B.

13.9 cm

C.

16.1 cm

D.

8.4 cm

Question17.

Using 3.14 for , and calculating to the nearest tenth of an inch, what is the circumference of a circle that has a diameter of 8 in.?

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50.2 in.

B.

25.1 in.

C.

12.6 in.

D.

29.7 in.

Question18.

The bisector of is . If the measure of is 50°, what is the measure of?

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25°

B.

50°

C.

100°

D.

130°

Question19.

If is the bisector of , which of the following statements must be true?

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B.

C.

D.

Question20.

Which of the following coordinates represent a translation of B(–4, 1), 3 units to the right and 2 units down?

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B’(?7, 3)

B.

B’(?6, 4)

C.

B’(?1, ?1)

D.

B’(?2, ?4)

Question21.

Which of the following sets of coordinates shows the translation: (x, y) ? (x – 1, y + 4)?

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A(4, 2), A’(5, ?2)

B.

A(4, 2), A’(3, 6)

C.

A(4, 2), A’(8, 1)

D.

A(4, 2), A’(0, 3)

Question22.

Quadrilateral WXYZ has vertices W(0, 0), X(–4, 2), Y(–4, 6), and Z(0, 4). Quadrilateral W’X’Y’Z’ has vertices W’(2, –3), X’(–2, –1), Y’(–2, 3), and Z’(2, 1). Which of the following describes the translation?

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(x, y) ? (x – 3, y + 2)

B.

(x, y) ? (x + 2, y – 3)

C.

(x, y) ? (x – 2, y + 3)

D.

(x, y) ? (x + 3, y – 2)

Question23.

Which of the following types of figures has at least two lines of symmetry?

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parallelogram

B.

trapezoid

C.

isosceles triangle

D.

rhombus

Question24.

How many lines of symmetry does a rectangle have?

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0

B.

1

C.

2

D.

4

Question25.

Which of the following letters has rotational symmetry?

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H

B.

J

C.

K

D.

L

Question26.

Which of the following numbers has rotational symmetry?

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2

B.

4

C.

6

D.

8

Question27.

Which of the following objects would not normally have rotational symmetry?

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daisy

B.

plate

C.

glove

D.

rectangular picture frame

Question28.

What is the perimeter of an equilateral triangle with a side measure of 60 cm?

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60 cm

B.

180 cm

C.

240 cm

D.

3,600 cm

Question29.

If , , and , which of the following methods can you use to show that ?

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SSS

B.

SAS

C.

AAS

D.

ASA

Question30.

If m?2 = 130°, find m?4.

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130°

B.

50°

C.

65°

D.

180°

Question31.

Which is NOT a name for ?

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B.

C.

D.

Question32.

Given a || b, find m?1 .

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148°

B.

32°

C.

24°

D.

180°

Question33.

Find the perimeter of a rhombus with one side 1 yd.

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3.5 yd

B.

7 yd

C.

7 yd²

D.

3.0625 yd

Question34.

Given that HPKT ? BEWL, what is ?PHT ? to ____?

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?BEW

B.

?WLB

C.

?EBW

D.

?EBL

Question35.

Find the circumference of a circle with . Use 3.14 for .

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5.495 in.

B.

2.7475 in.

C.

2.404 in.²

D.

0.875 in.

Question36.

Write a rule to describe this translation. (x, y) ? ___________.

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(x + 4, y + 3)

B.

(x – 4, y – 3)

C.

(x + 6, y)

D.

(x + 4, y – 3)

Question37.

Given the point A(9, ?4), and it’s image A‘(2, ?1), write a rule to describe the translation.

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(x, y) ? (x + 7, y – 3)

B.

(x, y) ? (x – 7, y + 3)

C.

(x, y) ? (x – 10, y + 6)

D.

(x, y) ? (x – 7, y + 5)

Question38.

Is the dashed line a line of symmetry?

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yes

B.

no

C.

not enough information to tell

Question39.

Which quadrilateral does NOT have opposite sides congruent and parallel?

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rhombus

B.

square

C.

trapezoid

D.

parallelogram

Question40.

?STU has coordinates S(2, 3), T(?2, 4), and U(?4, 2). What are the coordinates of ?S’T’U’ after a 180° rotation about the origin?

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S’(?2, ?3), T’(2, -4), U’(4, ?2)

B.

S’(2, 3), T’(?2, 4), U’(?4, 2)

C.

S’(3, 2), T’(4, ?2), U’(2, ?4)

D.

S’(?3, ?2), T’(?4, 2), U’(?2, 4)