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Need Help With 1 Question, Any Help Would Be Greatly Appreciated.

Need Help With 1 Question, Any Help Would Be Greatly Appreciated.-example-1

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we have the coordinates

A(-4,4)

B(-2,2)

C(-2,-1)

D(-4,1)

step 1

First transformation

Translation of the figure ABCD 1 unit up

The rule is

(x,y) --------> (x,y+1)

Applying the rule

A(-4,4) -----------> A''(-4,5)

B(-2,2) ---------> B''(-2,3)

C(-2,-1) -------> C''(-2,0)

D(-4,1) ------> D''(-4.2)

step 2

Reflection over the x-axis

The rule is

(x,y) ------> (x,-y)

Applying the rule

A''(-4,5) -------> A'''(-4,-5)

B''(-2,3) ------> B'''(-2,-3)

C''(-2,0) -----> C'''(-2,0)

D''(-4.2) -----> D'''(-4,-2)

step 3

Third transformation

Translation 7 units to the right and 1 unit up

(x,y) ------> (x+7,y+1)

Applying the rule

A'''(-4,-5) ---------> A'(3,-4) is ok

B'''(-2,-3) ---------> B'(5,-2) is ok

C'''(-2,0) ---------> C'(5,1) is ok

D'''(-4,-2) ------> D'(3,-1) is ok

Part B

Remember that

The rigid transformations produce congruent figures

The rigid transformations are: rotation, reflection, and translation

In this problem the transformations are rigid

that means

The pre-image and the final image are congruent

User Waweru Kamau
by
8.4k points

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