Unit 1, Lesson 10
Rigid Transformations
Integrated Math 1
Practice
Problem 1
Here are 4 triangles that have each been transformed by a different transformation. Which transformation is not a rigid transformation?
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Here are 4 triangles that have each been transformed by a different transformation. Which transformation is not a rigid transformation?
A
B
C
D
There is a sequence of rigid transformations that takes \(A\) to \(A’\), \(B\) to \(B’\), and \(C\) to \(C’\). The same sequence takes \(D\) to \(D’\). Draw and label \(D’\):
Three schools are located at points \(A\), \(B\), and \(C\). The school district wants to build its new stadium at a location that will be roughly the same distance from all 3 schools. Where should they build the stadium? Explain or show your reasoning.
To construct a line passing through point \(C\) that is parallel to the line \(AB\), Han constructed the perpendicular bisector of \(AB\) and then drew line \(CD\).
Is \(CD\) guaranteed to be parallel to \(AB\)? Explain how you know.
This diagram is a straightedge and compass construction of a line perpendicular to line \(AB\) passing through point \(C\). Select all the statements that must be true.
Three circles. Two large congruent circles intersect at point E. Smaller circle, center C, in the intersection of two larger circles. Small circle intersects one circle at Point A and the other circle at Point D. Segment A B passes through C and D. Segment E C is drawn.
\(AD=BD\)
\(EC=AD\)
\(AC=DC\)
\(EA=ED\)
\(ED=DB\)
\(CB=AD\)