Question

Can anyone help me with a few geometry questions?

Answer 1

Are a parallelogram and a pentagon always, sometimes, or never similar?

Answer 2

If the polygons are similar, the corresponding sides all have the same ratios. So check that out.

Answer 3

Yeah they have the same ratios

Answer 4

Then they are similar and the scale factor is the ratio of the corresponding sides.

Answer 5

So is it c?

Answer 6

yes

Answer 7

Okay thanks! can I get help with the rest? I know its a lot but I need to get this done I've been working on it all day

Answer 8

For the next one use this: the altitude to the hypotenuse of a right triangle is the geometric mean of the 2 hypotenuse segments.

Answer 9

So the length of AC is the geometric mean of 15 and x? How do I figure out what x is?

Answer 10

Look at the right triangle ABC. What is its hypotenuse?

Answer 11

AC

Answer 12

What is the altitude to AC?

Answer 13

BD?

Answer 14

So BD is the geometric mean of the hypotenuse segments? What are those segments?

Answer 15

AD and DC?

Answer 16

yes. So write that proportion. and solve for x

Answer 17

How do I write a propotion for that?

Answer 18

Here is another way to remember it:
This ratio: