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Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 2

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Last updated 2 months ago
7 Questions
1.

Line SD is a line of symmetry for figure AXPDZHMS. Noah says that AXPDS is congruent to HMZDS because sides AX and HM are corresponding.
  1. Why is Noah’s congruence statement incorrect?
  2. Write a correct congruence statement for the pentagons.

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2.

FIgure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K. Draw a segment in figure AFEKJB to create a quadrilateral. Draw the image of the segment when rotated 90 degrees counterclockwise about point K.
Write a congruence statement for the quadrilateral you created in figure AFEKJB and the image of the quadrilateral in figure MBJKGH.

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3.

Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.

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4.

When triangle ABC is reflected across line AB, the image is triangle ABD. Why are segment AD and segment AC congruent?

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5.

Elena needs to prove angles BED and BCA are congruent. Provide reasons to support each of her statements.
  1. Line m is parallel to line l.
  2. Angles BED and BCA are congruent.

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6.

Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

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7.

This design began from the construction of a regular hexagon.
  1. Draw 1 segment so the diagram has another hexagon that is congruent to hexagon ABCIHG.
  2. Explain why the hexagons are congruent.

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

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