IM Geo.2.2 Lesson: Congruent Parts, Part 2
Each pair of figures is congruent. Decide whether each congruence statement is true or false.
Triangle is congruent to triangle .
Quadrilateral is congruent to quadrilateral .
Triangle is congruent to triangle .
Pentagon is congruent to pentagon .
Here are three triangles.
Triangle is congruent to which triangle? Explain your reasoning.
Show a sequence of rigid transformations that takes PQR to that triangle. Draw each step of the transformation.
Explain why there can’t be a rigid transformation to the other triangle.
Triangle ABC is a rotation of triangle CDB around point E by 180˚.
Is angle congruent to angle ? If so, explain your reasoning.
If not, which angle is congruent to?
Polygon HIJKL is a reflection and translation of polygon GFONM.
Is segment congruent to segment ? If so, explain your reasoning.
If not, which segment is congruent to?
Quadrilateral PQRS is a rotation of polygon VZYW.
Is angle congruent to angle ? If so, explain your reasoning.
If not, which angle is congruent to?
Suppose quadrilateral PQRS was both a rotation of quadrilateral VZYW and also a reflection of quadrilateral .
What can we conclude about the shape of our quadrilaterals? Explain why.