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2.02 Justifying relationships of parallel lines

Adaptive
Worksheet

Interactive practice questions

Select the diagram showing a pair of parallel lines:

Two lines with arrowheads at their endpoints indicating that the lines extend indefinitely in both directions. Both lines have an identical arrow marking, pointing in the same direction.

A

Two lines with arrowheads at their endpoints indicating that the lines extend indefinitely in both directions. The arrowheads pointing at the top right direction are closer to each other than the arrowheads pointing at the bottom left direction.

B

Two lines with arrowheads at their endpoints indicating that the lines extend indefinitely in both directions. The arrowheads pointing at the left direction are closer to each other than the arrowheads pointing at the right direction.

C

Two lines with arrowheads at their endpoints indicating that the lines extend indefinitely in both directions. The arrowheads pointing at the top left direction are closer to each other than the arrowheads pointing at the bottom right direction.

D
Easy
< 1min

Select the diagram showing a pair of parallel segments:

Easy
< 1min

Eileen was given the following diagram, in which $m\angle ABE=m\angle BEF=62^\circ$mABE=mBEF=62°. She immediately marked the parallel symbols on the diagram to show that $\overleftrightarrow{AB}\parallel\overleftrightarrow{DE}$ABDE .

Easy
< 1min

Consider this diagram and answer the questions that follow:

Medium
< 1min
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Outcomes

G.CO.C.8

Use definitions and theorems about lines and angles to solve problems and to justify relationships in geometric figures.

G.CO.D.11

Perform formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

G.CO.D.12

Use geometric constructions to solve geometric problems in context, by hand and using technology.*

G.MP1

Make sense of problems and persevere in solving them.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

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