3.2 Angle Pairs - Part 2 Investigation

Author:kjordanlghs, GeoGebra Materials Team

Line EG is a transversal.

1. Move point A and observe the behavior of the figure. Move pt B, and then point C. Notice what each point does to the figure.

You should notice that when you move pts A, B and C, the figure behaves in a particular way. Pay attention to lines AD and FH. Can you move points A, B or C in such a way as to make lines AD and FH cross each other? (Ignore the instances where all three lines collapse directly on top of each other)

Tick all that apply

A
yes
B
no

Check my answer (3)

Lines which behave in the way that lines AD and FH do can be described using one of the vocabulary terms we discussed in class. Which of the following terms describes lines in the same plane that never cross?

Tick all that apply

A
skew
B
parallel
C
intersecting
D
perpendicular

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What special type of angles are the angles in green?

Tick all that apply

A
corresponding angles
B
alternate interior
C
alternate exterior
D
same side interior

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As you move point A, B or C around, watch the measures of the angles in green. Which of the following statements is always true no matter how you move any of those points?

Tick all that apply

A
The green angles are always complementary
B
The green angles are always supplementary
C
The green angles are always vertical
D
The green angles are always congruent.

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Now look at the angles in red. What special type of angles are they?

Tick all that apply

A
corresponding
B
alternate interior
C
alternate exterior
D
same side interior

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As you move points A, B and C around, watch the measures of the angles in red. Which of the following statements is always true no matter how you move any of those points?

Tick all that apply

A
The red angles are always supplementary
B
The red angles are always complementary
C
The red angles are always vertical
D
The red angles are always congruent

Check my answer (3)

You looked at two sets of angles above. The green set and the red set. You should notice there are two other sets of the same type of angles in the figure. As you move points A, B and C around, can the same statements be made about the set of purple angles that were made about the red and the green angles?

Tick all that apply

A
yes, because the purple angles are also corresponding angles.
B
no, the relationship between the purple angles is not the same as was true for the red or the green angles.

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As you move points A, B and C around, can the same statements be made about the set of pink angles that were made about the red, green and purple angles?

Tick all that apply

A
yes, the pink angles are also corresponding angles
B
no, the pink angles do not display the same relationship to each other as the red, green or purples angles do.

Check my answer (3)

Take all the observations you made above and summarize them by completing the following sentence: Corresponding angles formed by parallel lines are always _?_

Tick all that apply

A
supplementary
B
complementary
C
vertical
D
congruent

Check my answer (3)

3.2 Angle Pairs - Part 2 Investigation

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