Question

4 from unit 1 lesson 10 here are four original triangles that have each been transformed by a different transformation. which transformation is not a rigid transformation? 5 from unit 1 lesson 10 this diagram shows a triangle and its image after transformation. 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.

Explanation:

Step1: Recall rigid - transformation properties

Rigid transformations (translations, rotations, reflections) preserve distances and angles.

Step2: Analyze each option for non - rigid transformation

In option C, the triangle appears to be stretched or dilated as the ratios of side lengths between the original and the transformed triangle are not the same, which is not a rigid transformation. For question 5:

Step3: Use rigid - transformation rules for point D

Since rigid transformations preserve distances and angles, we can use the same transformation mapping from A to A', B to B', and C to C' to find D'. We can construct D' such that the relative position of D with respect to A, B, C is the same as the relative position of D' with respect to A', B', C'. For example, if D is on a line segment between two vertices of the original triangle, D' will be on the corresponding line segment of the transformed triangle in the same relative position.

Answer:

For question 4: C
For question 5: Draw D' such that the relative position of D' with respect to A', B', C' is the same as the relative position of D with respect to A, B, C.