Questions

1) Theorem 7-A: Congruence of angles is reflexive, symmetric, and __________.

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2) Theorem 7-B: If two angles form a linear pair, then they are __________.

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3) Theorem 7-C: Angles supplementary to the same angle are __________.

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4) Theorem 7-D: Angles supplementary to congruent angles are __________.

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5) Copy or print Theorem 7-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 7-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 7-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 7-D in the unit link to “Angle Relationships” for a model of a proof similar to this one.

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

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8) Theorem 7-H: Vertical angles are __________.

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9) Theorem 7-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 7-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 7-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) What can be stated as GIVEN based on the “if” part of the theorem and the labeled figure?

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37) What can be stated to PROVE based on the “then” part of the theorem and the labeled figure?

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38) There are two parts in proving Theorem 7-K. Complete the proof of this theorem on your own. Choose one part and give the statements and reasons for each step. You may type up the proof in a word processing document and attach it OR you may enter your steps in the textbox below.

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39) Copy or print Theorem 7-L and complete the proof by filling in the blanks. State the answers by giving the number of the statement, and then the answer.

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40) What two statements can be made as being GIVEN based on the “if” part of the theorem and the labeled figure?

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41) What can be stated to PROVE based on the “then” part of the theorem and the labeled figure?

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42) 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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43) 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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44) 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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45) 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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46) What kind of angles are angles HJM, and JKN?

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47) Answer the following questions: (a) What equation may be written to solve for “x”? (b) What is the value of “x”?

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48) Answer the following questions: (a) What is the value of “y”? (b) Explain how you found the value of y?

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49) 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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