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Phantasy [73]
2 years ago
7

Akayo claims that there are centers of dialstiond through ehich a dialation of line n by a factor of 1.5 leaves line n unchanged

Mathematics
1 answer:
mars1129 [50]2 years ago
5 0

Answer:

See Explanation

Step-by-step explanation:

This question requires further details. In absence of the details, I will answer on a general term.

When a line is dilated (whether expanded or compressed), the new line will be on the same line with the dilated line; however, the length of both lines will be different

Take for instance:

<em>Line AB of coordinate (1,3) is horizontally dilated by 2, </em>

<em>Horizontal dilation rule is: y = f(cx) where c is the dilation factor</em>

<em />

<em>So, the new point will be </em>

<em>A'B' = (1, 3 * 2)</em>

<em>A'B' = (1,6)</em>

<em />

<em>When you compare the x coordinate of both line, you will observe that they have the same x coordinate of 1. </em>

<em>This implies that they are on the same level but different length</em>

<em />

The same is applicable to vertical dilation

<em />

<em>the new point will be:</em>

<em />

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P = perimeter = 2L + 2W = 86 cm.  Also, L = W + 4.  Subst. W + 4 for L, 

P = 2(W + 4) + 2W = 86 cm.  Then 2W + 8 + 2W = 86 cm, and 4W = 78 cm.

Finally solving for W, W = (78 cm)/4, or 19.5 cm.

If W = 19.5 cm, then L = W + 4 cm = 19.5 cm + 4 cm = 23.5 cm

The rectangle's dimensions are 19.5 cm by 23.5 cm.
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