Geometry CP Final Exam Review 2020

Name : _______________________________________________________ Period : ____________________________

GCI.2: Solve for the variable or ? unless specified. Show your work if necessary.

1. 2. 3.

4. 5. 6.

7. 8.

GCI.5

9. Find the length of 𝐴�̂� 10. Find the area of the shaded sector

GCO.1 – Use the prism below to answer questions 11-16

11. Name the intersection of 𝐾𝑌 ⃡ 𝑎𝑛𝑑 𝑌𝐴 ⃡

12. Name the intersection of LUK and YAE

13. What is 𝐿𝐵 ⃡ 𝑡ℎ𝑒 𝑖𝑛𝑡𝑒𝑟𝑠𝑒𝑐𝑡𝑖𝑜𝑛 𝑜𝑓?

14. Name all lines parallel to 𝐿𝑈 ⃡

15. Name all lines skew to 𝐿𝑈 ⃡

16. Name all lines perpendicular to 𝐿𝑈 ⃡

GCO.2

17. Point F (4,-6) is translated by the rule that maps (x,y) →(x-5, y+3). What is the translation rule in words? What is the

coordinate for F’? In which quadrant does the image of F lie?

18. Write the rule that maps the translation of a point from (-3,4) to (4,-1)? Write the rule in words, vector notation, and

coordinate notation.

GCO.3

19. Which capital letters of the alphabet have a line of symmetry? Which letters have more than 1 line of symmetry?

20. A reflection maps A(1,2), B(3,4) and C(4,-1) to A’(1,-2) B’(3,-4) and C’(4,1). What is the line of symmetry?

GCO.5

21. Give the image coordinates of ∆ALT if A(-5, 1), L (-3,-2), and T(-3,2) after rotating it 180 degrees and the reflecting it

over the y-axis.

22. Rotate ALT if A(-5,-1), L(-3,-2), T(-3,2) 90o counterclockwise around the origin, then reflect the image over

the line y = x. Give the final image coordinates

GCO.7

23. What else must you know to prove the triangles are congruent by ASA? SAS?

24. List the step with the incorrect statement or reason and give the correct statement and/or reason

GCO.8

25. Fill in the following blanks with CONGRUENT or SUPPLEMENTARY.

When there are two parallel lines intersected by a transversal; alternate interior angles are __________________,

alternate exterior angles are ____________________, consecutive interior angles are ______________________, and

corresponding angles are ______________________.

26. Solve for x and find each angle measure. 27. Find the value of x that makes j ll k.

GCO.9

28. Solve for x. Find the m∠CLM and m∠LEM.

.

GCO.11

29. Identify each construction and list the congruent segments/angles.

GGPE.1

30. Write the equation of the following circle.

GGPE.4

31. What is the length of the radius of a circle given the center is C(-5,7) and a point on the circle is (4, -2). What is the

length of the diameter?

GGPE.5

32. Write the equation of a line parallel to the line y=-2x+7 that goes through the point (-5,3).

33. Write the equation of a line perpendicular to the line y=3x-2 that goes through the point (6,-9).

34. Determine whether each set of lines are parallel, perpendicular, or neither.

y=3/5x – 3 y=7x+2 y=5/6x-6

5y = 3x-10 x + 7y = 8 x+5y=4

GSRT.1

35. Dilate the following triangle by a scale factor of 1/3.

36. Dilate the following triangle by a scale factor of 5.

GSRT.2

37. Are the preimage and image of a dilation congruent? Why?

38. Are the preimage and image of a dilation similar? Why?

GSRT.3

39. Solve for x in the similar triangles. 40. Solve for x, MP, and PN.

GSRT.4

41. Solve for x. 42.

GSRT.6

43. Find the angle of elevation of the sun when a 12.5-meter-tall telephone pole casts a 18-meterlong shadow.

44. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53o. How tall is the flagpole?

GSRT.7

45. Find the sin(A), cos(A), sin(B) and cos (B).

31o

GSRT.8

46. 47.

48.

GGM.2

49. Katy is between Houston and San Antonio. The distance from Katy to San Antonio is 2x +7 miles, the distance from

Katy to Houston is x-4 miles, and the total distance from Houtson to San Antonio is 120 miles. How far is Katy from each

city?

50.

19

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