Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 12

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7 Questions
1
1.
Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.
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8.G.1.c
G.CO.4
8.G.3
8.G.1.a
8.G.1.b
1
2.
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'.
8.G.1.c
G.CO.4
8.G.3
8.G.1.a
8.G.1.b
1
3.
Which statement is true about a translation?
8.G.1.c
G.CO.4
8.G.3
8.G.1.a
8.G.1.b
1
4.
Select all the points that stay in the same location after being reflected across line l.

8.G.1.c
G.CO.4
8.G.3
8.G.1.a
8.G.1.b
1
5.
Lines l and m are perpendicular. A point Q has this property: rotating Q 180 degrees using center P has the same effect as reflecting Q over line m.

  1. Give two possible locations of Q.
  2. Do all points in the plane have this property?
8.G.1.c
G.CO.4
8.G.3
8.G.1.a
8.G.1.b
1
6.
There is a sequence of rigid transformations that takes A to A', B to B', and C to C'. The same sequence takes D to D'. Draw and label D':
8.G.1.c
G.CO.4
8.G.3
8.G.1.a
8.G.1.b
1
7.
Two distinct lines, l and m, are each perpendicular to the same line n.

  1. What is the measure of the angle where line l meets line n?
  2. What is the measure of the angle where line m meets line n?
8.G.1.c
G.CO.4
8.G.3
8.G.1.a
8.G.1.b
This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/12/index.html ; accessed 29/July/2021.

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