Question

Figure ABCD is transformed to obtain figure A'B'C'D':

A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 3, negative 4, B prime at 5, negative 2, C prime at 5, 1, D prime at 3, negative 1.

Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6

Answer 1

@Michele_Laino

Answer 2

@Michele_Laino

Answer 3

@Michele_Laino

Answer 4

@Data_LG2

Answer 5

@kropot72

Answer 6

@ikram002p

Answer 7

I think that the requested transformation can be written as a composition of a traslation of the shape ABCD along the displacement CA' first, with another transformation
am I right? @Marc1313

Answer 8

please do you know what can be the second transformation, after that traslation?

Answer 9

Huh? @Michele_Laino

Answer 10

If we make that traslation we get this:

Answer 11

okay

Answer 12

now, I ask you, can you say what is the second trasformation which transforms the orange shape into the final shape?

Answer 13

B

Answer 14

namely? Please explain

Answer 15

i do not understand this

Answer 16

for example a reflection about the axis A'D' of 180 degrees, can be the second transformation?

Answer 17

oops.. I meant: around the axis A'D'...

Answer 18

please, more precisely, I meant a reflection with respect to the axis A'D', please ignore "180 degrees"

Answer 19

huh?

Answer 20

hint:
I think yes, such reflection can be the second transformation, so the requested transformation is a traslation along the displacement CA' followed by a reflection with respect to the axis A'D'
am I right?

Answer 21

yes i guess