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.

An angle is oriented with its vertex positioned at the top. A vertical segment bisects the angle, dividing it into two angles. The two angles are marked with double blue arcs. From the bottom endpoint of this bisecting segment, two segments extend diagonally to meet the sides of the angle. The intersection of the two segments and the sides of the angle are marked with small green-shaded squares. The segment on the left is labeled $9$9. The segment on the right is labeled $x$x.

Find the value of $x$x.

Medium
< 1 min

Consider the diagram.

Medium
2 min

Consider the diagram.

Medium
2 min

Consider the diagram.

Medium
2 min
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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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