1. Congruence and Constructions

1.01 Points, lines, and planes

1.02 Line segments and distance

1.03 Points and midpoints

1.04 Review: Angles and angle measure

1.05 Review: Slopes of lines

Investigation: Slope, distance, and midpoint partner activity

1.06 Review: Angle relationships

1.07 Translations

1.08 Reflections

1.10 Transformations, congruence, and similarity

1.11 Compositions of transformations

Investigation: Creating tessellations

1.13 Review: Identifying congruent triangles

1.14 Corresponding parts of congruent triangles

1.15 Proving triangles congruent

Investigation: Construct congruent angles

Investigation: Construct congruent segments

Investigation: Construct Parallel lines

Investigation: Construct perpendicular lines

Investigation: Construct angle bisectors

Investigation: Construct angles measuring 30, 45 or 60 degrees

1.16 Justifying constructions using congruent triangles

1.17 Justifying constructions using the properties of quadrilaterals

Investigation: Construct polygons inscribed in circles

United States of America NJ

Geometry

1.16 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

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.

G.SRT.B.5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

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