Topics
5. Relationships in Triangles
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United States of AmericaTennessee
Geometry

5.02 Perpendicular and angle bisectors

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the diagram below.

Two long line segments, on the left and right, meet at a top vertex. A line segment bisects the angle at the top vertex. The resulting angles are each marked with two blue arcs. Two line segments branch out from the bisecting line and form right angles with points on each of the two long line segments. The connecting line segment on the left is labeled $9$9, while the one on the right is labeled $x$x.

Find the value of $x$x.

Medium
< 1min

Consider the diagram.

Medium
2min

Consider the diagram.

Medium
2min

Consider the diagram.

Medium
2min
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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.MP2

Reason abstractly and quantitatively.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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