Question

1 Which sequence of transformations takes AA to its image, AB ?

Answer 1

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is  the option B.

(B) Reflection across y-axis and a translation 2 units down

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

From a similar question, we have, ;

The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)

The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)

The options are;

(A) Reflection over the x-axis and 2 units translation down

(B) Reflection over the y-axis and 2 units translation down

(C) 90° rotation after a translation of 2 units down

(D) 90° rotation after a translation of 12units right

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

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