Question

1. Using the following dilated coordinates of a triangle choose the appropriate scale factor.
J:(2.4)---J':(4,8)
K:(1,1)----K':(2,2)
L:(4.0)----L':(8,0)

A.5
B.4
C.3
D.2

Answer 1

Answer:

2

Step-by-step explanation:

Answer 2

The scale factor is 2. So, the correct option is D.

Important information:

• $J(2,4)\to J'(4,8)$
• $K(1,1)\to K'(2,2)$
• $L(4,0)\to J'(8,0)$

We need to find the scale factor.

Scale factor:

If a figure is dilated by factor $k$ with origin as the center of dilation, then

$P(x,y)\to P'(kx,ky)$

Using this rule, we get

$J(2,4)\to J'(2k,4k)$

We have $J'(4,8)$. So,

$J'(2k,4k)=J'(4,8)$

On comparing both sides, we get $2k=4$ or $4k=8$. In both cases, the value of scale factor is $k=2$.

Thus, the correct option is D.

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