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8.04 Angles and constructions

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
Medium
< 1min

Which of these diagrams shows a pair of supplementary angles?

Medium
< 1min

Which of these diagrams shows a pair of perpendicular lines?

Medium
< 1min

Are the angles in the givenĀ diagramĀ supplementary?

Medium
< 1min
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Outcomes

G.CO.D.12

Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

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