IM Geo.1.17 Practice: Working with Rigid Transformations

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

Quadrilateral is congruent to quadrilateral . Describe a sequence of rigid motions that takes to , to , to , and to .

Select all transformations that must take any point to any point .

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A
Rotation of around
B
Rotation of around
C
Rotation of around the midpoint of segment
D
Reflection across the line
E
Reflection across the perependicular bisector of segment
F
Translation by the directed line segment
G
Translation by the directed line segment

Triangle is congruent to triangle . Describe a sequence of rigid motions that takes to , to , and to .

A triangle has rotation symmetry that can take any of its vertices to any of its other vertices. Select all conclusions that we can reach from this.

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A
All sides of the triangle have the same length.
B
All angles of the triangle have the same measure.
C
All rotations take one half of the triangle to the other half of the triangle.
D
It is a right triangle.
E
None of the sides of the triangle have the same length.
F
None of the angles of the triangle have the same measure.

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A right triangle has a line of symmetry. Select all conclusions that must be true.

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A
All sides of the triangle have the same length.
B
All angles of the triangle have the same measure.
C
Two sides of the triangle have the same length.
D
Two angles of the triangle have the same measure.
E
No sides of the triangle have the same length.
F
No angles of the triangle have the same measure.

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In quadrilateral BADC, AB=AD and BC=DC.

The line is a line of symmetry for this quadrilateral. Based on the line of symmetry, explain why angles and have the same measure.

Which of these constructions would construct a line of reflection that takes the point to point ?

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A
Construct the midpoint of segmen .
B
Construct the perpendicular bisector of segment .
C
Construct a line tangent to circle with radius .
D
Construct a vertical line passing through point and a horizontal line passing through point .

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Here is triangle

IM Geo.1.17 Practice: Working with Rigid Transformations

In quadrilateral BADC, AB=AD and BC=DC.

Match the description of the rotation with the image of POG under that rotation.

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