Question

Triangle MNP is dilated according to the rule DO,1.5 (x,y)(1.5x, 1.5y) to create the image triangle M'N'P, which is not shown.

Answer 1

Answer:

Option B is correct i.e.,  M'(-6,9) and N'(3,9).

Step-by-step explanation:

Given: ΔMNP mapped in graph ⇒ coordinates of vertices are M(-4,6), N(2,6) & P(-1,1)  and scale factor of dilation is 1.5 .i.e., 1.5(x,y) ⇒ (1.5x,1.5y)

ΔMNP dilated to ΔM'N'P'

To Find: Coordinates of M' &N'

since, scale factor of dilation is 1.5.

we get coordinates of M' by multiplying coordinates of M

⇒1.5 M(-4,6) = M'(1.5×(-4), 1.5×6)

                    =M' (-6,9)

similalrly coordinates of N' by multiplying coordinates of N

⇒1.5 N(2,6) = N'(1.5×2, 1.5×6)

                    =N' (3,9)

The coordinates of the endpoints of segment M'N' is M'(-6,9) and N'(3,9)

∴Option B is correct.

Answer 2

The correct option for the coordinates of end point of line segment is $\fbox{\begin\\\ \bf option (b)\\\end{minispace}}$.

Further Explanation:

Calculation:

The coordinate of the point $P,M,N$ can be obtained from the given Graph.

The coordinate of the point $P$ of $\triangle\text{PMN}$ is $(-1,1)$.

The coordinate of the point $N$ of a triangle $\triangle\text{PMN}$ is $(2,6)$.

The coordinates of the point $M$ of a triangle $\triangle\text{PMN}$ is $(-4,6)$.

The image of triangle is created by the given rule,

$\boxed{1.5(x,y)\rightarrow(1.5x,1.5y)}$

The new image of $\triangle\text{PMN}$ is $\triangle\text{M'N'P'}$.

The new coordinate of $P$ that is $P'$ is obtained as,

$\boxed{\begin{aligned}1.5(x,y)&\rightarrow(1.5x,1.5y)\\1.5(-1,1)&\rightarrow(-1.5,1.5)\end{aligned}}$

The new coordinate of $M$ that is $M'$ is obtained as,

$\boxed{\begin{aligned}1.5(x,y)&\rightarrow(1.5x,1.5y)\\1.5(-4,6)&\rightarrow(-6,9)\end{aligned}}$

The new coordinate of $N$ that is $N'$ is obtained as,

$\boxed{\begin{aligned}1.5(x,y)&\rightarrow(1.5x,1.5y)\\1.5(2,6)&\rightarrow(3,9)\end{aligned}}$

Therefore, the coordinate for point $M'$ is $(-6,9)$ and the coordinate for the point $N'$ is $(3,9)$.

Thus, the correct option for the coordinates of end point of line segment is $\fbox{\begin\\\ \bf option (b)\\\end{minispace}}$.

Learn more:

1. A problem on triangle: brainly.com/question/7437053

2. A problem on transformation of triangle brainly.com/question/2992432

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Triangle

Keywords: Equations, Triangle, dilate, Translate, image, size, x coordinate, y coordinate, shifted position endpoints, line segment, shifting, 1.5(x,y)=(1.5x,1.5y).