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8.04 Angle relationships

Adaptive
Worksheet

Interactive practice questions

Which of these diagrams shows a pair of vertical angles?

Three points connected by line segments converging at a central point, pointing in different directions. The middle segment, in conjunction with the outer segments, forms two distinct angles at the junction where the segments meet. These angles are shaded for emphasis: one in green and the other in red, to indicate their difference.

A

Two intersecting lines creating congruent angles, highlighted by identical shading.

B

Four line segemnts were drawn from four distinct points to a common point creating four distinct angles. One angle is shaded red and the other is shaded purple signifying that their measures are not congruent.

C

Two intersecting lines creating two pairs of two congruent angles. The pair with a bigger angle has one angle shaded in green, the pair with a smaller angle has one angle shaded in blue.

D
Easy
< 1min

Which of these diagrams shows a pair of supplementary angles?

Easy
< 1min

Which of these diagrams shows a pair of perpendicular lines?

Easy
< 1min

Are the angles in the givenĀ diagramĀ supplementary?

Medium
< 1min
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Outcomes

M1.G.CO.B.3

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

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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