Question

Which sequence of similar transformations could map △ABC onto △A'B'C'?

Answer 1

Answer:  A sequence of similar transformations of dilation and translation could map △ABC onto △A'B'C'.

Step-by-step explanation:

Similar transformations:  If one figure can be mapped onto the other figure using a dilation and a congruent rigid transformation or a rigid transformation followed by dilation then the two figures are said to be similar.

In the attachment △ABC mapped onto △A'B'C' by a sequence of dilation from origin and scalar factor k followed by translation.

Answer 2

A dilation and a translation could have occurred to map ${\Delta \;\text{ABC}}$ to ${\Delta \;\text{A''B''C''}}.$

Further Explanation:

Given:

The options are as follows,

(A). A dilation and a reflection

(B). A dilation and a translation

(C). A translation and a rotation

(D). A translation and a reflection

Explanation:

The reflection symmetry is defined as a line that divides the Figure into two equal parts.

Translation can be defined as to move the function to a certain displacement.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

A dilation and a translation could have occurred to map ${\Delta \;\text{ABC}}$ to ${\Delta\; \text{A''B''C''}}.$

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometry

Keywords: sequence, similar, Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions.