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Question

Part 1
a. On grid​ paper, draw triangle ABC with vertex coordinates ​A(2​,2​), ​B(4​,2​), and ​C(6​,6​).
b. Apply the rule ​(1.5​x,1.5​y) to the vertices of triangle ABC to get the vertices of new triangle PQR.
c. Draw triangle ABC and triangle PQR on the same grid paper.

Answer 1

To start, draw triangle ABC with vertex coordinates A(2,2), B(4,2), and C(6,6) on the grid paper.

Next, apply the rule (1.5x, 1.5y) to the vertices of triangle ABC to get the vertices of new triangle PQR. This means multiplying each x-coordinate and y-coordinate by 1.5.

New coordinates for triangle PQR are:
P(3, 3)
Q(6, 3)
R(9, 9)

Draw triangle PQR on the grid paper along with triangle ABC. Make sure to label the vertices of both triangles for clarity.

Answer 2

now flip it across the x axis

Answer 3

To flip triangles ABC and PQR across the x-axis, simply negate the y-coordinates of each vertex.

Original coordinates of triangle ABC:
A(2,2)
B(4,2)
C(6,6)

New coordinates after flipping across the x-axis:
A'(2,-2)
B'(4,-2)
C'(6,-6)

Original coordinates of triangle PQR:
P(3,3)
Q(6,3)
R(9,9)

New coordinates after flipping across the x-axis:
P'(3,-3)
Q'(6,-3)
R'(9,-9)

Draw the flipped triangles ABC and PQR on the same grid paper, labeled with the new coordinates.

Answer 4

flip the original across the y axis

Answer 5

To flip triangles ABC and PQR across the y-axis, simply negate the x-coordinates of each vertex.

Original coordinates of triangle ABC:
A(2,2)
B(4,2)
C(6,6)

New coordinates after flipping across the y-axis:
A'(-2,2)
B'(-4,2)
C'(-6,6)

Original coordinates of triangle PQR:
P(3,3)
Q(6,3)
R(9,9)

New coordinates after flipping across the y-axis:
P'(-3,3)
Q'(-6,3)
R'(-9,9)

Draw the flipped triangles ABC and PQR on the same grid paper, labeled with the new coordinates.