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Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV. Rectangle JKLM is drawn on the grid with vertices J at negative 8, negative 8, K at negative 4, negative 8, L at negative 4, negative 5, and M at negative 8, negative 5. Rectangle J prime K prime L prime M prime is drawn with vertices J prime at 2, negative 5, K prime 6, negative 5, L prime 6, negative 2, and M prime 2, negative 2. Trapezoid STUV is drawn with vertices S at 1, 4. T is at 6, 4. U is at 4, 6. V is at 2, 6. What will be the location of T' in the image trapezoid S'T'U'V'?

Respuesta :

Answer:

Location of T' on the coordinate axis will be (16,7).

T (6,4) ā†’ T' (16,7).

Step-by-step explanation:

coordinate vertices of points in rectangle JKLM are:

J (-8,-8)

K (-4,-8)

L (-4,-5)

M (-8,-5)

and coordinate vertices of points in rectangle J'K'L'M' are:

J' (2,-5)

K' (6,-5)

L' (6,-2)

M' (2,-2)

coordinate vertices of points in Quadrilateral STUV are:

S (1,4)

T (6,4)

U (4,6)

V (2,6)


transformation in coordinate vertices from rectangle JKLM to rectangle J'K'L'M' is:

J (-8,-8) ā†’ J' (2,-5)

ā‡’ along x axis -8 ā†’ 2 which means that rectangle is shifting towards right by 10 units.

and along y axis -8 ā†’ -5 which means that the rectangle is shifting upwards by 3 units.

similarly for

K (-4,-8) ā†’ K' (6,-5)

ā‡’ along x axis -4 ā†’ 6 which means that rectangle is shifting towards right by 10 units.

and along y axis -8 ā†’ -5 which means that the rectangle is shifting upwards by 3 units.

L (-4,-5) ā†’ L' (6,-2)

ā‡’ along x axis -4 ā†’ 6 which means that rectangle is shifting towards right by 10 units.

and along y axis -5 ā†’ -2 which means that the rectangle is shifting upwards by 3 units.

M (-8,-5) ā†’ M' (2,-2)

ā‡’ along x axis -8 ā†’ 2 which means that rectangle is shifting towards right by 10 units.

and along y axis -5 ā†’ -2 which means that the rectangle is shifting upwards by 3 units.


So, the location of T' of the Quadrilateral S'T'U'V' on the coordinate plane will be:

along x axis the Quadrilateral will shift towards right by 10 units

So, 6 ā†’ 6+10=16

and along y axis the Quadrilateral will shift upwards by 3 units

So, 4 ā†’ 4+3=7

ā‡’ T (6,4) ā†’ T' (16,7).

levimjames

Answer:

(16,7)

Step-by-step explanation:

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