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

Last updated 11 months ago

7 questions

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Library

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

Last updated 11 months ago

7 questions

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

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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 the diagonals AC and BD are perpendicular.
Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

…

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

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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?

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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.

…

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.

…

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

Draggable item		Corresponding Item
Rotate 60 degrees clockwise around P.
Rotate 60 degrees clockwise around O.
Rotate 60 degrees counterclockwise around O.
Rotate 120 degrees clockwise around O.

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

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

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

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 the diagonals AC and BD are perpendicular.
Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

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

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?

45°

60°

180°

90°

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.

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.

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

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

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 the diagonals AC and BD are perpendicular.
Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

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

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?

45°

60°

180°

90°

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.

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.

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

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

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

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

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 the diagonals AC and BD are perpendicular.Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

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

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?

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.

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.

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

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

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 the diagonals AC and BD are perpendicular.Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

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

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?

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.

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.

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

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 the diagonals AC and BD are perpendicular.
Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

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.

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 the diagonals AC and BD are perpendicular.
Based on the line of symmetry, explain why angles ABC and ADC have the same measure.

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.