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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 .

該当するものを全て選択
  • A
  • B
答 (3)を確認

Quadrilateral  is congruent to quadrilateral .

該当するものを全て選択
  • A
  • B
答 (3)を確認

Triangle  is congruent to triangle .

該当するものを全て選択
  • A
  • B
答 (3)を確認

Pentagon  is congruent to pentagon .

該当するものを全て選択
  • A
  • B
答 (3)を確認

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.