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GeoGebraGeoGebra Classroom

Angles in Parallel Lines

Investigation

For each Activity, move the points around so that the size of the angles changes. The line AB is parallel to the line CD in each Activity. The line EF is the transversal. Answer the questions for each activity.

Activity 1

Question 1a

In your own words, and using the language provided in the lesson for the angle pairs (i.e, alternate, corresponding or co-interior), write down your observations.

Question 1b

For the diagram below, find the value of the missing angle. You do not need to add units.

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Activity 2

Question 2a

In your own words, and using the language provided in the lesson for the angle pairs (i.e, alternate, corresponding or co-interior), write down your observations.

Question 2b

For the diagram below, find the value of the missing angle. You do not need to add units.

Image

Activity 3

Question 3a

In your own words, and using the language provided in the lesson for the angle pairs (i.e, alternate, corresponding or co-interior), write down your observations. You can ask your teacher for a hint :)

Question 3b

For the diagram below, find the value of the missing angle. You do not need to add units.

Image

Activity 4

Question 4

Move any of the points A, B, C, or D so that the lines AB and CD are parallel. When you think you have done this, justify below how you can be sure AB is parallel to CD?

Activity 5

Question 5

Move any of the points A, B, C, or D so that the lines AB and CD are parallel. When you think you have done this, justify below how you can be sure AB is parallel to CD?

Activity 6

Question 6

Move any of the points A, B, C, or D so that the lines AB and CD are parallel. When you think you have done this, justify below how you can be sure AB is parallel to CD?

Question 7

Using your experience in the activities or questions above (or maybe even using some other angle facts), find the missing values from the diagram below. Give your answer as: a=___, b=___, c=___, d=___

Question 8

Which of the diagrams below shows parallel lines?

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)
(Haese)
(Haese)
Image