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.
Why is Noah’s congruence statement incorrect?
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.
Line m is parallel to line l.
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.
Draw 1 segment so the diagram has another hexagon that is congruent to hexagon ABCIHG.
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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