Questions

1) Theorem 10-A: Congruence of angles is reflexive, symmetric, and __________.

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2) Theorem 10-B: If two angles form a linear pair, then they are __________.

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3) Theorem 10-C: Angles supplementary to the same angle are __________.

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4) Theorem 10-D: Angles supplementary to congruent angles are __________.

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5) Copy or print Theorem 10-E and complete the proof by filling in the blanks. State the answers by giving the number of the statement or reason, and then the answer. Refer to theorem 10-C in the unit link to “Angle Relationships” for a model of a proof similar to this one.

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6) Copy or print Theorem 10-F and complete the proof by filling in the blanks. State the answers by giving the number of the statement or reason, and then the answer. Refer to theorem 10-D in the unit link to “Angle Relationships” for a model of a proof similar to this one.

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7) Theorem 10-G: Right angles are __________.

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8) Theorem 10-H: Vertical angles are __________.

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9) Theorem 10-I: Perpendicular lines intersect to form __________.

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10) What is the name given to a line that crosses two or more lines at different points?

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11) angles that are located on the same side of the transversal and their position is corresponding relative to the lines

a.) exterior angles

b.) interior angles

c.) corresponding angles

d.) alternate exterior angles

e.) alternate interior angles

12) angles that are located within the exterior of the lines

a.) exterior angles

b.) interior angles

c.) corresponding angles

d.) alternate exterior angles

e.) alternate interior angles

13) angles that are located within the interior of the lines and are on opposite sides of the transversal

a.) exterior angles

b.) interior angles

c.) corresponding angles

d.) alternate exterior angles

e.) alternate interior angles

14) angles that are located within the exterior of the lines and are on opposite sides of the transversals

a.) exterior angles

b.) interior angles

c.) corresponding angles

d.) alternate exterior angles

e.) alternate interior angles

15) angles that are located within the interior of the lines

a.) exterior angles

b.) interior angles

c.) corresponding angles

d.) alternate exterior angles

e.) alternate interior angles

16) In the figure shown below, which pairs of angles are consecutive interior angles?

a.) angles 1 & 2, angles 7 & 8

b.) angles 1 & 7, angles 2 & 8

c.) angles 3 & 5, angles 4 & 6

d.) angles 3 & 6, angles 4 & 5

e.) angles 3 & 4, angles 5 & 6

17) Name one angle that falls in the interior of lines “m” and “n”.

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18) Name one angle that falls in the exterior of lines “m” and “n”.

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19) What kind of angles are angles 1 and 11?

a.) alternate interior

b.) alternate exterior

c.) corresponding

d.) consecutive interior

20) What kind of angles are angles 8 and 10?

a.) alternate interior

b.) alternate exterior

c.) corresponding

d.) consecutive interior

21) What kind of angles are angles 7 & 10?

a.) alternate interior

b.) alternate exterior

c.) corresponding

d.) consecutive interior

22) What kind of angles are angles 1 & 16?

a.) alternate interior

b.) alternate exterior

c.) corresponding

d.) consecutive interior

23) What kind of angles are angles 8 & 14?

a.) alternate interior

b.) alternate exterior

c.) corresponding

d.) consecutive interior

24) What kind of angles are angles 5 & 12?

a.) alternate interior

b.) alternate exterior

c.) corresponding

d.) consecutive interior

25) What type of planes are planes “C” and “D”?

a.) perpendicular planes

b.) parallel planes

c.) intersecting planes

26) Lines “v” and “w” do not intersect. What type of lines are lines “v” and “w”?

a.) parallel lines

b.) skew lines

c.) perpendicular lines

27) Lines “f” and “g” lie in the same plane and do not intersect. What type of lines are lines “f” and “g”?

a.) parallel lines

b.) intersecting lines

c.) skew lines

28) What type of segments are the two given line segments?

a.) skew

b.) parallel

c.) intersecting

29) What type of segments are the two given line segments?

a.) skew

b.) parallel

c.) intersecting

30) What type of segments are the two given line segments?

a.) skew

b.) parallel

c.) intersecting

31) What type of segments are the two given line segments?

a.) skew

b.) parallel

c.) intersecting

32) What type of segments are the two given line segments?

a.) skew

b.) parallel

c.) intersecting

33) What type of segments are the two given line segments?

a.) skew

b.) parallel

c.) intersecting

34) Fill in the blank. Postulate 10-A: If two parallel lines are cut by a transversal, then each pair of __________ are congruent.

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35) The partial proof of Theorem 10-J is shown below. In Part 2, three parts of the proof are missing and marked with a question mark. Provide the missing information by stating the number of the step, and then the missing information for that step.

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36) According to Theorem 10-K and the corresponding figure shown below, which angles are congruent? Name both pairs.

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37) According to Theorem 10-L and the corresponding figure shown below, which angles are supplementary? Name them.

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38) According to Theorem 10-M and the corresponding figure shown below, complete the following statement: Since lines “m” and “n” are parallel and line “t” is perpendicular to line “m”, then _______________________________________________.

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39) Answer the following questions: (a) What kind of angles are angles GHD & HDE? (b) What is the measure of angle HDE? (c) What is the value of “x”?

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40) Answer the following questions: (a) What kind of angles are angles HDE and DEI? (b) What is the measure of angle DEI? (c) What is the value of “y”?

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41) Answer the following questions: (a) What is the measure of angle EIH? (b) What is the measure of angle JIL? (c) What is the value of “z”?

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42) Quadrilateral DEIH is a parallelogram. Answer the following questions: (a) What is the measure of angle IHD? (b) How many degrees do the four angles in a parallelogram total?

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43) If you connect points A and B in the figure below, is line AB a transversal of the parallel lines? Check your answer by printing the picture and actually drawing the line. You may find some surprising results!

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