Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 17 - Formative Library | Library

Quadrilateral ABCD is congruent to quadrilateral A'B'C'D'. Describe a sequence of rigid motions that takes A to A', B to B', C to C', and D to D'.

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8.G.2

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

Reflection across the line AB

Rotation of 180° around the midpoint of segment AB

Reflection across the perependicular bisector of segment AB

Translation by the directed line segment BA

Rotation of 180° around A

Rotation of 180° around B

Translation by the directed line segment AB

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8.G.2

Triangle ABC is congruent to triangle A'B'C'. Describe a sequence of rigid motions that takes A to A', B to B', and C to C'.

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8.G.2

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.

None of the angles of the triangle have the same measure.

All sides of the triangle have the same length.

None of the sides of the triangle have the same length.

It is a right triangle.

All angles of the triangle have the same measure.

All rotations take one half of the triangle to the other half of the triangle.

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8.G.2

Select all the angles of rotation that produce symmetry for this flower.

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8.G.2

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

No angles of the triangle have the same measure.

Two angles of the triangle have the same measure.

Two sides of the triangle have the same length.

All sides of the triangle have the same length.

No sides of the triangle have the same length.

All angles of the triangle have the same measure.

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8.G.2

In quadrilateral BADC, AB = AD and BC = DC. The line AC is a line of symmetry for this quadrilateral. Based on the line of symmetry, explain why angles ACB and ACD have the same measure.

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8.G.2

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

Construct the perpendicular bisector of segment AB.

Construct a vertical line passing through point A and a horizontal line passing through point B.

Construct a line tangent to circle B with radius AB.

Construct the midpoint of segment AB.

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8.G.2

Here is triangle POG. Match the description of the rotation with the image of POG under that rotation.

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8.G.2

This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 17. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/17/index.html ; accessed 29/July/2021.

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