Questions

1) Which statement is NOT true about the given figure?

a.) Line “s” and line “r” are parallel.

b.) Line “r” could be name line MN.

c.) Three line segments that have point K as an endpoint are segments IK, PK, and IJ.

d.) Point N lies on both line IN and line LN.

e.) Line OK is perpendicular to line IN.

2) In which figure are skew lines displayed and named?

a.) Figure A

b.) Figure B

c.) Figure C

3) Which statement is NOT true about the given figure?

a.) Segment GH intersects with segment FH.

b.) Planes ABG and CEF are parallel planes.

c.) Segments AC and BG are skew segments.

d.) Segment BE is perpendicular to segment CE.

e.) Segment AC is parallel to segment EF.

4) Explain, without the use of a ruler, how the compass is used to construct segment PQ so that it is the same length as segment XY.

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5) The given figure shows one of the steps in constructing what kind of figure?

a.) Perpendicular lines

b.) Skew lines

c.) Parallel lines

d.) An angle

6) What is the difference between the interior and the exterior area of an angle?

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7) True or False. The vertex of an angle is the point where two rays meet. The letter that represents the vertex will always be the middle letter in the name of an angle.

True

False

8) Define an angle.

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9) Which angle is closest in size to an angle that measures 135 degrees? State the letter of the correct answer.

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10) Which angle is closest in size to an angle that measures 29 degrees? State the letter of the correct answer.

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11) Which statement is NOT true about the given figure?

a.) Points O, M, and P lie in the interior of angle JLK.

b.) Two other names for angle J are angle KJL and angle LJK.

c.) Points N, J, and O lie in the exterior of angle MLK.

d.) Angles KLM and MLJ share vertex L.

e.) Rays LK, LM, LJ are all rays that begin at point L.

f.) Another name for angle 2 is angle LKM.

12) True or False. Angles are measured in degrees and one degree is (1/180) of a rotation around a point.

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13) True or False. A (compass) is a tool used to measure the number of degrees in angles.

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14) True or False. An (acute angle) is an angle that measures less than 90 degrees. An (obtuse) angle is an angle that measures more than 90 degrees but less than 180 degrees.

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15) In the given illustration of the construction of a bisected angle, what does ray BE represent?

a.) A congruent ray

b.) The angle bisector

c.) A transversal

d.) The perpendicular bisector

16) What is the difference between a right angle and a straight angle? Mention the measures of the angles when explaining the differences.

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17) What is the name given to angles that, when added together, form a right angle?

a.) Complementary angles

b.) Supplementary angles

c.) Vertical angles

d.) Congruent angles

18) What is the name given to angles that, when added together, form a straight angle?

a.) Complementary angles

b.) Supplementary angles

c.) Vertical angles

d.) Congruent angles

19) What is the name given to the pairs of congruent angles that are formed when two lines intersect?

a.) Complementary angles

b.) Supplementary angles

c.) Vertical angles

20) If the measurement of angle GEH is 49 degrees and the measurement of angle DEH is 105 degrees, what is the measure of angle DEG?

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21) If the measurement of angle GEF is 124 degrees, what is the measure of angle GED?

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22) The given figure shows two lines intersecting to form vertical angles. Angles LMN and PMQ are vertical angles; thus, they are congruent. The measure of angle LMN is represented by the expression “5x + 80”. The measurement of angle PMQ is represented by the expression “3x + 10”. Solve for “x” and state the measure of angles LMN and PMQ.

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23) In the previous problem, what would be the measures of vertical angles LMP and NMQ?

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24) If a pair of angles are complementary and one of the angles is twice as large as the other angle, what is the measure of each angle?

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25) Draw angle KMN so that it is divided by an angle bisector MP. If angle KMN measures 90 degrees, what are the measures of angles KMP and PMN?

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26) Screech is trying to make a bank shot to win a game of pool. He needs to hit the 8- ball (white ball) into the corner pocket (the hole located at the lower right corner of the table). If Screech knows the angle measurements shown in the figure below, what is the value of angle “x”, the angle that the ball must take to drop into the corner pocket?

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27) Which statement is NOT true about the given figure?

a.) Line “t” is the transversal.

b.) Angles 4 and 12 are corresponding angles.

c.) Angles 6, 8, 10, and 12 are interior angles.

d.) Angles 2, 4, 14, and 16 are exterior angles.

e.) Angles 2 and 14 are alternate exterior angles.

f.) Angles 8 and 10 are alternate interior angles.

28) Angles 3 and 5 are what kind of angles?

a.) Corresponding

b.) Alternate exterior

c.) Consecutive interior

d.) Alternate interior

e.) All of the above are correct.

29) Angle 1 is congruent to what other three angles?

a.) Angles 2, 6, 7

b.) Angles 3, 4, and 8

c.) Angles 4, 5, and 8

d.) Angles 3, 6, and 7

e.) Angles 2, 3, and 4

30) True or False: All of the following pairs of angles are supplementary: 1&2, 2&4, 3&4, 1&3, 3&5, 4&6, 5&6, 6&8, 7&8, 5&7, 1&7, and 2&8.

True

False

31) What fractional part of the data is represented by (a) the dog, (b) the cat, (c) the bird, (d) the fish, and (e) the hamster? (Note: To check, the fractions should total 40/40 or 1 whole.)

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32) Now compute the angles for each section of the circle graph. What is the number of degrees for the parts of the circle that represent each pet? State the pet and its corresponding angle. (Note: To check, the angles should total 360 degrees or close to it depending on the rounding.)

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33) Which two pets, when combining their results, represent more than 50% of the choices for favorite pets?

a.) Fish and Hamster

b.) Cat and Bird

c.) Dog and Fish

d.) Dog and Bird

e.) Cat and Fish

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