Dilate the figure by a scale factor of 3.5. What are the verticals of the image?

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5) ⇒ D

Step-by-step explanation:

If the point (x, y) dilated by scale factor k and center the origin, then its image is the point (kx, ky)

In rectangle JKLM

∵ J = (1, 4), k = (6, 4), L = (6, 1) and M = (1, 1)

∵ The rectangle JKLM is dilated by a scale factor of 3.5

→ By using the rule above multiply each coordinate by 3.5

∴ J' = (1 × 3.5, 4 × 3.5) = (3.5, 14)

∴ K' = (6 × 3.5, 4 × 3.5) = (21, 14)

∴ L' = (6 × 3.5, 1 × 3.5) = (21, 3.5)

∴ M' = (1 × 3.5, 1 × 3.5) = (3.5, 3.5)

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5)

6.5

step-by-step explanation:

you said it was in the question

~courtney

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.