
Geometry Congruence Transformations Tasks
Explore various congruence transformations in geometry tasks, including reflection, rotation, and proving congruency between shapes. Practice identifying transformations, proving congruency, and analyzing tessellations.
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Presentation Transcript
Bell work (Turn in when finished): Perform the transformation indicated 1. Reflection across y=x of P(3,5), Q(5,2), and R(-1,12) 2. Rotation by 180 around the origin of the same P, Q, and R
9.5: Congruence Transformations
Which angle pairs are equal? Which side lengths are equal?
Two figures are congruent if and only if there is a sequence of rigid motions mapping one to the other Any sequence of rigid motions is called a congruence transformation
Which figures are congruent? How do you know?
These figures are congruentwhat is the congruence transformation to take the black shape to the blue shape?
Identify a congruence transformation from NAV to BYC
Prove triangle 1 is congruent to triangle 3 Prove triangle 1 is congruent to triangle 4 Prove triangle 2 is congruent to triangle 5
Homework: Section 9.5, pages 582- 583: 6, 7, 9, 10, 16 Honors: Add 21, 23a
16. Determine if the two figures are congruent. If so, determine a transformation mapping one to the other. If not, explain.
23. The figure to the right is an artwork called a tessellation. What types of congruence transformations can be seen in the picture?