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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 17

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Last updated about 1 year ago
9 questions
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Question 1
1.

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'.

Question 2
2.

Question 3
3.

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'.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

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.

Question 8
8.

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

Question 9
9.

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

Draggable itemarrow_right_altCorresponding Item
Rotate 60 degrees clockwise around P.
arrow_right_alt
Rotate 60 degrees clockwise around O.
arrow_right_alt
arrow_right_alt
arrow_right_alt
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.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Select all transformations that must take any point A to any point B.
Rotation of 180° around A
Rotation of 180° around B
Translation by the directed line segment BA
Translation by the directed line segment AB
Rotation of 180° around the midpoint of segment AB
Reflection across the line AB
Reflection across the perependicular bisector of segment AB
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.
All rotations take one half of the triangle to the other half of the triangle.
None of the sides of the triangle have the same length.
All sides of the triangle have the same length.
It is a right triangle.
All angles of the triangle have the same measure.
None of the angles of the triangle have the same measure.
Select all the angles of rotation that produce symmetry for this flower.

135
120
45
180
90
30
60
A right triangle has a line of symmetry. Select all conclusions that must be true.
No angles of the triangle have the same measure.
All sides of the triangle have the same length.
Two angles of the triangle have the same measure.
Two sides of the triangle have the same length.
All angles of the triangle have the same measure.
No sides of the triangle have the same length.
Construct the midpoint of segment AB.
Construct the perpendicular bisector of segment AB.
Rotate 240 degrees counterclockwise around O.
Rotate 300 degrees clockwise around O.