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5.08 Justifying constructions using congruent triangles

Interactive practice questions

The construction has been created so that the arcs with centers at $B$B and $C$C are congruent.

Which of the following choices describe $\overrightarrow{AD}$AD ?

Angle bisector

A

Midsegment

B

Perpendicular bisector

C

None of the above

D
Easy
< 1min

The angle $\angle EDF$EDF is constructed from the given angle $\angle BAC$BAC by drawing a set of dotted arcs.

Easy
1min
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Outcomes

G.CO.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.

G.SRT.5

Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures that can be decomposed into triangles.

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