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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 19

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Last updated 2 months ago
8 Questions
1.

What is the measure of angle ABE?

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2.

Select all true statements about the figure.

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3.

Point D is rotated 180 degrees using B as the center. Explain why the image of D must lie on the ray BA.

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4.

Draw the result of this sequence of transformations.

  1. Rotate ABCD clockwise by angle ADC using point D as the center.
  2. Translate the image by the directed line segment DE.

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5.

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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6.

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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7.

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 ACB and ACD have the same measure.

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8.

Here are 2 polygons:
Select all sequences of translations, rotations, and reflections below that would take polygon P to polygon Q.

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This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 19. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/19/index.html ; accessed 29/July/2021.

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