Answered

IDNLearn.com: Where questions are met with accurate and insightful answers. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

Which unique sequence of rigid motions maps quadrilateral ABCD to quadrilateral EFGH?
6
5
A
IB
x
634
1 2 3 4 5 6
E
G
A
A reflection over the x-axis followed by a translation of (z,y) → (2, y - 4).
B. A reflection over the y-axis followed by a translation of (1,y) → (I, y-6).
C. A translation of (I, y) + (1, y-3) followed by a reflection over the y-axis.
A translation of (€,y) → (3-6, y) followed by a reflection over the x-axis.

Which Unique Sequence Of Rigid Motions Maps Quadrilateral ABCD To Quadrilateral EFGH 6 5 A IB X 634 1 2 3 4 5 6 E G A A Reflection Over The Xaxis Followed By A class=

Sagot :

Answer:

The unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are;

B. A reflection over the y-axis followed by a translation of (I, y) → (I, y - 6)

('I' is the image of 'x' after reflection)

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral ABCD are;

A(-5, 4), B(-2, 4), C(-2, 1), and D(-5, 2)

The coordinates of the vertices of the quadrilateral EFGH are;

E(5, -2), F(2, -2), G(2, -5), and H(5, -4)

By analysis, we have;

The signs of the x-coordinate of the preimage and the image are opposite, therefore, one of the rigid motions is a reflection across the y-axis

Similarly, the common difference between the y-coordinate values of the image and the preimage are;

-2 - 4 = -6

-2 - 4 = -6

-5 - 1 = -6

-4 - 2 = -6

The common difference between the y-coordinates of the image and the preimage is -6, therefore, the y-values are obtained by a translation of y - 6 units

Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are a reflection over the y-axis followed by a translation of (I, y) → (I, y - 6).

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.