IM Geo.2.2 Practice: Congruent Parts, Part 2

Line [math]SD[/math] is a line of symmetry for figure [math]AXPDZHMS[/math]. Noah says that [math]AXPDS[/math] is congruent to [math]HMZDS[/math] because sides [math]AX[/math] and [math]HM[/math] are corresponding.[br][img]data:image/png;base64,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[/img][br]Why is Noah’s congruence statement incorrect?[br]
Write a correct congruence statement for the pentagons.[br]
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.
Figure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K. 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 [math]AFEKJB[/math] and the image of the quadrilateral in figure [math]MBJKGH[/math].
Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K.
[img]data:image/png;base64,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[/img][br]Select [b]all[/b] statements that must be true.
When triangle ABC is reflected across line AB, the image is triangle ABD.
[img]data:image/png;base64,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[/img][br]Why are segment [math]AD[/math] and segment [math]AC[/math] congruent?
Elena needs to prove angles BED and BCA are congruent.
Provide reasons to support each of her statements.
Line [math]m[/math] is parallel to line [math]l[/math].[br]
Angles [math]BED[/math] and [math]BCA[/math] are congruent.[br]
Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF.
[img]data:image/png;base64,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[/img][br]Select [b]all[/b] the statements that are a result of corresponding parts of congruent triangles being congruent.
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.
Close

Information: IM Geo.2.2 Practice: Congruent Parts, Part 2