IM Geo.1.13 Practice: Incorporating Rotations

Autore:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Here are 2 polygons: Select all sequences of translations, rotations, and reflections below that would take polygon to polygon .

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A
Rotate around point .
B
Rotate counterclockwise around point and then reflect over the line .
C
Translate so that is taken to . Then reflect over line .
D
Reflect over line and then translate by directed line segment .
E
Reflect over the line and then rotate counterclockwise around point .

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The semaphore alphabet is a way to use flags to signal messages. Here's how to signal the letter Q. Describe a transformation that would take the left hand flag to the right hand flag.

Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.

Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C', and the image of D as D'.

Here is a line l. Plot 2 points, A and B, which stay in the same place when they are reflected over l. Plot 2 other points, C and D, which move when they are reflected over l.

Here are 3 points in the plane.

Select all the straightedge and compass constructions needed to locate the point that is the same distance from all 3 points.

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A
Construct the bisector of angle .
B
Construct the bisector of angle .
C
Construct the perpendicular bisector of .
D
Construct the perpendicular bisector of .
E
Construct a line perpendicular to through point .
F
Construct a line perpendicular to through point .

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This straightedge and compass construction shows quadrilateral ABCD.

Is a rhombus? Explain how you know.

IM Geo.1.13 Practice: Incorporating Rotations

Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.

Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C', and the image of D as D'.

Here is a line l. Plot 2 points, A and B, which stay in the same place when they are reflected over l. Plot 2 other points, C and D, which move when they are reflected over l.

Here are 3 points in the plane.

This straightedge and compass construction shows quadrilateral ABCD.

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