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Pre-AP Geometry – Chapter 1 TEST Review Important Vocabulary

Geometry Euclid Conditional Converse Postulate Theorem Converse

Hypothesis Conclusion Venn Diagram

Congruent Point Line Plane

Line Plane Intersection Collinear points

Non-collinear points

Coplanar points

Non-coplanar points

Space Undefined Line segment Congruent segments

Between-ness

Segment Addition Postulate

Precision

Midpoint Number line Coordinates Ruler Postulate

Distance Midpoint Theorem

Segment Bisector

Parallel Endpoint Dimensions Quadrant Ray Angle Vertex

Right angle Acute angle Obtuse angle Straight angle

Opposite rays

Congruent angles

Angle bisector

Angle addition postulate

Complementary angles

Protractor Compass Adjacent angles

Vertical angles

Linear pair

Supplementary angles

Perpendicular lines

Protractor postulate

Vertical angle theorem

Linear pair postulate

Straightedge Construction

Polygon Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon

Nonagon Decagon Dodecagon Regular polygon

Irregular Polygon

Convex polygon

Concave polygon

Perimeter Bisect STANDARDS/GOALS:

C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to solve problems.

D.1.a.: I can identify and model plane figures, including collinear and non collinear points, lines, segments, rays, and angles using appropriate mathematical symbols.

D.1.b.: I can identify vertical, adjacent, complementary, and supplementary angle pairs and use them to solve problems.

G.CO.12./ D.1.d.: I can use construction techniques, including straightedge and compass, to bisect and trisect segments and to create parallel and perpendicular lines, perpendicular bisectors, and angle bisectors.

G.GPE.4/ G.1.b.: I can apply the midpoint and distance formulas to points and segments to find midpoints, distances, and missing information.

G.1.c.: I can use coordinate geometry to solve problems about geometric figures.

C.1.b.: I can identify and write conditional statements and use these statements to form conclusions.

D.2.h.: I can identify and classify regular and non-regular polygons based on the number of sides, the angle measures, and the side lengths.

G.CO.1.: I can understand the undefined terms: point, line, and distance along a line in a plane.

G.MG.1.: I can use geometric shapes and their properties to model and describe real world objects.

C.1.b.: I can identify and write conditional statements and use these statements to form conclusions. A.1.f./S.MD.6:

o I can compute both experimental and theoretical probabilities. o I can compute the probability of a simple event.

S.CP.9(+): I can use combinations and permutations to compare probabilities and to count things.

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Short Answer Questions #1. Do the words bisect and midpoint mean essentially the same thing? #2. Which of the following has a midpoint? A line or a line segment? #3. How many points determine a line? How many points determine a plane? What types of points determine a plane? Segment Length & Precision #4. What is the length of segment AB? #5. What is the precision of a measurement of 6 ½ ft? After stating the precision, write the answer in ‘interval’ form. Segment Problems #6. Find the length of segment DE if D is between points C and E, CD = 6.5 centimeters, and CE = 13.8 centimeters. #7. Find the length of segment XZ.

#8. Find x if 𝑅𝑆̅̅̅̅ ≅ 𝑆𝑇̅̅̅̅ .

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Use the coordinate grid. #9. Find the distance between A and B. #10. Find the coordinates of the midpoint of segment CD. #11. A segment has a midpoint at (4,5) and an endpoint at (-3,4). What is the location of the other endpoint? #12. Polygons: Name polygon ABCDEF by its sides. Then classify it as convex or concave and regular or not regular. Find the perimeter of polygon ABCDEF for x = 4.

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Use the figure at the right. #13. What is another name for line l? #14. Name three points on plane P. #15. Name the intersection of planes P and N. #16. Name three collinear points. Rays and Angles: In the figure, ray EA and ray EB are opposite rays and ray EC bisects <FEG. #17. Name a pair of supplementary angles #18. Name an angle that is adjacent to <CEG. #19. Find x if m∢FEG = 82, and m∢FEC = 5x + 11 #20. If m∢AED = 16y + 10, find y so that 𝐸𝐷̅̅ ̅̅ ⊥ 𝐴𝐵̅̅ ̅̅ . Conditional Statements #21. An advertisement for Pepsi says “Stay cool! Drink Pepsi.” What conditional statement does the ad imply? Write the following postulates as conditional statements: #22. Two congruent figures have equal areas. #23. Through any 2 points there is exactly one line.

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True/False. Explain the false. (NONE of these on the test in this form) #24. A rectangle has a length of 1.4 feet and a width of 1.2 feet. If the length and width are tripled, then the perimeter will be doubled. #25. Two angles that form a linear pair are never going to be adjacent angles. #26. If a right angle is bisected, then the two resulting angles are obtuse angles. #27. <ABC is the same angle as <CAB.

#28. 𝑍𝑊 ⃡ and 𝑊𝑍 ⃡ are the same line. Free Response Question: The numbers labeled on the map of Florida are mile markers. Assume that Route 10 between Quincy and Jacksonville is straight.

Suppose you drive at an average speed of 60 mph. #29. What is the distance between Tallahassee to Lake City? #30. How long will it take to get from Tallahassee to Lake City? #31. Suppose you drive at an average speed of 63 mph. How long will it take to get from Jacksonville to Monticello?

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#32.

#33.

#34. What is the probability of rolling a number that fits the following criteria?

a. Greater than 2 on a number cube?

b. Greater than or equal to 2 on a number cube?

c. Less than 6 on a number cube?

d. Less than or equal to 3 on a number cube?

e. Greater than 4 on a number cube?

#35. A coin is tossed 40 times and lands on heads 21 times. What is the experimental probability of the coin landing on tails? #36. What is the theoretical probability of randomly choosing a history book from a shelf that holds 6 romance novels, 9 history books, and 4 sports books?

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#37. What is the complement of rolling a 1 or 3 on a number cube? #38. Point X is chosen at random on 𝐿𝑃̅̅̅̅ . Find the probability of each event.

a. P(X is on LN)

b. P(X is on MO) #39. Find the number of possible outcomes for creating an outfit from 4 pairs of pants, 3 belts, 3 shirts, and 6 pairs of shoes. #40. Three frogs are sitting on a 15 foot log. The first two are spaced 5 feet apart and the third frog is 10 feet away from the second one. What is the probability that when a fourth frog hops onto the log that it lands between the first two?

#41. Evaluate 𝑷𝒓𝒏 =𝒏!

(𝒏 −𝒓)! for n = 13 and r = 8.

#42. As part of a promotion, a hockey team gives each fan entering the stadium one of 4 different randomly-chosen medallions. Using the random number table below, how many fans receive medallions before all 4 types are given out?

11232 32311 32431 42412 #43. Evaluate: 6!

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#44. Evaluate: #45. Find x, y and the measure of each angle:

PRACTICE MULTIPLE CHOICE QUESTIONS: #46. Point X is chosen at random on 𝐽𝑀̅̅ ̅̅ . Find the probability that X is on 𝐾𝑀̅̅ ̅̅ ̅.

a. 0.29 b. 0.4 c. 0.47 d. 0.79 e. None of the above.

#47. Using the table below, which numbers would you use to choose 3 students from a group of 50 students?

36674 86790 98265 42947 20763 a. 36, 48, 42 b. 36, 48, 26 c. 36, 48, 9 d. 48, 26, 42

#48. What is the probability of rolling TWO 6’s if you roll a pair of dice?

a. 1/6 b. 1/36 c. 1/3 d. 1/18 e. None of the above

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