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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 15

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Last updated 2 months ago
7 Questions
1.

For each figure, identify any lines of symmetry the figure has.



G.CO.3
8.G.1.c
G.CO.4
G.CO.2
8.G.1.a
8.G.1.b
2.

In quadrilateral BADC, AB = AD and BC = DC. The line AC is a line of symmetry for this quadrilateral.
  1. Based on the line of symmetry, explain why the diagonals AC and BD are perpendicular.
  2. Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

G.CO.3
8.G.1.c
G.CO.4
G.CO.2
8.G.1.a
8.G.1.b
3.

Three line segments form the letter Z. Rotate the letter Z counterclockwise around the midpoint of segment BC by 180 degrees. Describe the result.

G.CO.3
8.G.1.c
G.CO.4
G.CO.2
8.G.1.a
8.G.1.b
4.

There is a square, ABCS, inscribed in a circle with center D. What is the smallest angle we can rotate around D so that the image of A is B?

G.CO.3
8.G.1.c
G.CO.4
G.CO.2
8.G.1.a
8.G.1.b
5.

Points A, B, C, and D are vertices of a square.  Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.

G.CO.3
8.G.1.c
G.CO.4
G.CO.2
8.G.1.a
8.G.1.b
6.

Lines l and m are perpendicular.

Sometimes reflecting a point over m has the same effect as rotating the point 180 degrees using center P. Select all labeled points which have the same image for both transformations.

G.CO.3
8.G.1.c
G.CO.4
G.CO.2
8.G.1.a
8.G.1.b
7.

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

G.CO.3
8.G.1.c
G.CO.4
G.CO.2
8.G.1.a
8.G.1.b
This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 15. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/15/index.html ; accessed 29/July/2021.

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