Topics
6. Parallel and Perpendicular Lines
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United States of America
Grades 9-12

6.04 Perpendicular lines

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the figure where $\overleftrightarrow{EC}$›‹EC is the perpendicular bisector of $\overline{FD}$FD.

If $\overline{FC}$FC is $9$9 cm in length, how long is $\overline{CD}$CD?

Easy
< 1min

Consider the figure where $\overleftrightarrow{EC}$›‹EC is the perpendicular bisector of $\overline{FD}$FD.

If $\overline{EF}$EF is $6$6 cm in length, how long is $\overline{DE}$DE?

Medium
< 1min

Consider the figure where $\overline{AB}$AB is perpendicular to $\overline{CD}$CD.

Medium
1min

Consider the following figure where two perpendicular lines intersect. What is the value of $x$x?

Medium
1min
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Outcomes

G.CO.A.1

Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

G.CO.C.9

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

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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