Analytic Geometry Big Twenty #1

Student Name: ______Date: ______ / Score: ____
Teacher Name: ______

1)G.SRT. 1

In the figure, . What is ?

A / 42° / C / 88°
B / 72° / D / 92°

2) G.CO. 6

bisects , , and . What is ?

A / 43° / C / 86°
B / 54° / D / 108°

3)G.CO. 9

Which completes the statement? If , then ______by the Symmetric Property of Congruence.

A / / C /
B / / D /

4)G.CO. 12

Find the best sketch, drawing, or construction of a segment congruent to .

a. / / c. /
b. / / d. /

5)G.SRT. 6

A community is building a square park with sides that measure 80 meters. To separate the picnic area from the play area, the park is split by a diagonal line from opposite corners. Determine the approximate length of the diagonal line that splits the square. If necessary, round your answer to the nearest meter.

a. / 12,800 m / c. / 160 m
b. / 80 m / d. / 113 m

6)G.C. 1

are the perpendicular bisectors of . Find .

a. / = 4.2 / c. / = 7.4
b. / = 3.4 / d. / = 14.8

7)G.GMD 1

Find the volume of a cylinder with a base area of 25 and height equal to the radius. Give your answer both in terms of and rounded to the nearest tenth.

a. / / c. /
b. / / d. /

8)N.RN.2

Simplify .

F / / H /
G / / J /

9)A.SSE.1

Factor by guess and check.

a. / / c. /
b. / / d. /

10)A.SSE.3

What is the correct factorization of ?

F /
G /
H /
J /

11)A.CED. 1

D is between C and E. = , = , and DE = 27. Find CE.

a. / CE = 17.5 / c. / CE = 105
b. / CE = 78 / d. / CE = 57

12)A.REI.4

Use the Quadratic Formula to solve .

a. / / c. /
b. / / d. /

13)F.IF.4

Consider . Identify its vertex and y-intercept.

A /
B /
C /
D /

14)F.IF. 7

The distance d in meters traveled by a skateboard on a ramp is related to the time traveled t in seconds. This is modeled by the function: . What is the maximum distance the skateboard can travel, and at what time would it achieve this distance? Round your answers to the nearest hundredth.

A / 5.00 meters in 0 seconds / C / 4.73 meters at 0.23 seconds
B / 0.23 meters at 4.73 seconds / D / 5.00 meters at 0.47 seconds

15)F.BF.1

Write a quadratic equation that fits the points , , and .

A /
B /
C /
D /

16.) F.LE.3

A poll of 100 senior citizens in a retirement community asked about the types of electronic communication they used.The table shows the joint and marginal frequencies from the poll results.

If you are given that one of the people polled uses text messaging, what is the probability that the person is also using e-mail? Express your answer as a decimal. If necessary, round your answer to the nearest hundredth.

a. / 0.65
b. / 0.61
c. / 0.8
d. / 0.13

17.) G.GPE. 1

Given:A(3, –1), B(5, 2), C(–2, 0), P(–3, 4), Q(–5, –3), R(–6, 2)

Prove:

Complete the paragraph proof.

, , and . So , , and . Therefore ABC by [4], and by [5].

a. / [1] PQ
[2]
[3] RPQ
[4] SSS
[5] CPCTC / c. / [1] QR
[2]
[3] PQR
[4] SSS
[5] CPCTC
b. / [1] PQ
[2]
[3] RPQ
[4] CPCTC
[5] SSS / d. / [1] QR
[2]
[3] PQR
[4] CPCTC
[5] SSS

18.) G.MG. 1

From the ocean, salmon swim perpendicularly toward the shore to lay their eggs in rivers. Waves in the ocean are parallel to the shore. Why must the salmon swim perpendicularly to the waves?

a. / Swimming salmon form a transversal to the shore and the waves. The shore and the waves are parallel, and the swimming salmon are perpendicular to the shore. So by the Perpendicular Transversal Theorem, the salmon are perpendicular to the waves.
b. / Swimming salmon form a transversal to the shore and the waves. The shore and the waves are perpendicular, and the swimming salmon are parallel to the shore. So by the Perpendicular Transversal Theorem, the salmon are perpendicular to the waves.
c. / Swimming salmon form a transversal to the shore and the waves. The shore and the waves are parallel, and the swimming salmon are parallel to the shore. So by the Perpendicular Transversal Theorem, the salmon are perpendicular to the waves.
d. / Swimming salmon form a transversal to the shore and the waves. The shore and the waves are parallel, and the swimming salmon are perpendicular to the shore. So by the Parallel Transversal Theorem, the salmon are perpendicular to the waves.

19.) S.CP.1

What is the probability that the spinner lands on B or E?

A / 0.135 / C / 0.45
B / 0.375 / D / 0.6

20.) S.CP.4

The blue region of the Texas flag is one-third the width, and the red and white stripes are each half the height. What is the probability that a butterfly landing on the flag lands on red?

A / / C /
B / / D /

Analytic Geometry Big Twenty #1

ANSWER KEY

  1. B11. C
  2. D12. C
  3. C13. D
  4. B14. C
  5. D15. A
  6. A16. B
  7. D17. A
  8. A(F)18. A
  9. A19. B
  10. G20. B

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