Mathematics, 07.10.2020 19:01, montimcdaniel
PLEASE HELP 10 POINTS AND ILL MARK YOU BRAINLIEST
Preston says the sequence of transformations that maps triangle ABC onto triangle DEF is: rotate 180 degrees about the origin, and then translate it up 7 units.
Chanel says the sequence of transformations that maps triangle ABC onto triangle DEF is: reflect it across the x axis then reflect it across the y axis and then translate it up 6 units and left 1 unit.
Part A
First take a look at Prestons sequence. How does a 180 degree rotation about the origin change the coordinates of a shape?
Part B
Complete the table to find the rule for the rotation, the coordinates of triangle ABC, and the coordinates of the rotated image, Triangle AβBβCβ.
(x, y) ( , )
A( , ) Aβ( , )
B( , ) Bβ( , )
C( , ) Cβ( , )
Part C
How does a translation 7 units up change the coordinates of a shape?
Part D
Complete the table to find the rule for the translation, the coordinates of triangle AβBβCβ and the coordinates of the translated image, triangle AβBβCβ.
(x, y) ( , )
Aβ( , ) Aβ( , )
Bβ( , ) Bβ( , )
Cβ( , ) Cβ( , )
Part E
Now look at Chanelβs sequence. How does a reflection across the x axis change the coordinates of a shape?
Part F
Complete the table to find the rule for the reflection, the coordinates of triangle ABC, and the coordinates of the reflected image, triangle AβBβCβ.
(x, y) ( , )
A( , ) Aβ( , )
B( , ) Bβ( , )
C( , ) Cβ( , )
Part G
How does a reflection across the y axis change the coordinates of a shape?
Part H
Complete the table to find the rule for the reflection, the coordinates of triangle AβBβCβ and the coordinates of the reflected image, triangle AβBβCβ.
(x, y) ( , )
Aβ( , ) Aβ( , )
Bβ( , ) Bβ( , )
Cβ( , ) Cβ( , )
Part I
How does a translation 6 units up and 1 unit left change the coordinates of a shape?
Part J
Complete the table to find the rule for the translation, the coordinates of triangle AβBβCβ and the coordinates of the translated image, triangle AβββBβββCββ.
(x, y) ( , )
Aβ( , ) Aβββ( , )
Bβ( , ) Bβββ( , )
Cβ( , ) Cβββ( , )
Part K
Whoβs sequence proves triangle ABC is congruent to triangle DEF? Why?
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PLEASE HELP 10 POINTS AND ILL MARK YOU BRAINLIEST
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