Unit 2, Lesson 1
Congruent Parts, Part 1
Geometry
1.1
Warm-up
Notice and Wonder: A Dart
What do you notice? What do you wonder?
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What do you notice? What do you wonder?
Triangle
If a part of the image matches up with a part of the original figure, we call them corresponding parts. The part could be an angle, point, or side. We can find corresponding angles, corresponding points, or corresponding sides.
If two figures are congruent, then there is a rigid transformation that takes one figure onto the other. The same rigid transformation can also be applied to individual parts of the figure, such as segments and angles, because rigid transformations act on every point on the plane. Therefore, the corresponding parts of two congruent figures are congruent to each other.
Using a translation and a rotation we can take quadrilateral
Corresponding parts are the matching parts of an original figure and its scaled copy that are in the same relative positions. The parts could be points, segments, angles, or distances. When two figures are congruent, all of their corresponding parts are congruent.
For example, in triangles