Are quadrilaterals abcd and efgh similar?

yes, quadrilaterals abcd and efgh are similar because a translation of (x + 2 y + 4) and a dilation by the scale factor of 2 from point d' map

quadrilateral abcd onto efgh.

yes, quadrilaterals abcd and efgh are similar because a translation of (x + 3. y + 4) and a dilation by the scale factor of 2 from point a' map

quadrilateral abcd onto efgh.

no, quadrilaterals abcd and efgh are not similar because their corresponding angles are not congruent.

no quadrilaterals abcd and efgh are not similar because their corresponding segments are not proportional.

Option D

Step-by-step explanation:

Consider the below figure attached with this question.

Distance formula:

From the below figure it is clear that the vertices of quadrilaterals ABCD are A(0,0), B(2,0), C(3,-2) and D(-1,-2).

The vertices of quadrilaterals EFGH are E(2,4), F(6,4), G(7,1) and H(1,1).

Using distance formula we get

We know that corresponding sides of similar figures are proportional.

We get,

Quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.

Therefore, the correct option is D.

x=9

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough