IM Geo.1.17 Practice: Working with Rigid Transformations

ForfatterGeoGebra 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 .

Sæt kryds ved dit svar

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.

Sæt kryds ved dit svar

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.

Tjek mine svar (3)

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

Sæt kryds ved dit svar

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.

Tjek mine svar (3)

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 ?

Sæt kryds ved dit svar

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 .

Tjek mine svar (3)

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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