Question

I need help! Like I don't need the answer, I just don't understand how to find it

Answer 1

What's your question? I'll see if I can help.

Answer 2

In the diagram of rectangle ABCD, AC=5x+3 and BD=3x+17. Find the value of x.

Answer 3

Okay, so this is a theorem, or postulate, or something. Basically the theorem states that the diagonals of a rectangle are congruent. SO, AC, and BD, are both diagonals, and since they are congruent for rectangles, their lengths are also equal, and thus you are allowed to say that AC=BD, and that 5x+3=3x+17, and solve! Hope this helps!

Answer 4

omg thank you so much!

Answer 5

No problem! Anything else?

Answer 6

Which statement about isosceles trapezoids is FALSE?

a) The bases are congruent.
b) The bases are parallel.
c)Its diagonals are congruent.
d) Each pair of base angles is congruent.

Im sorry I am really bad at geometry :/.

Answer 7

It's okay! No worries! So, the diagonals are congruent. The pair of base angles is congruent. The bases are parallel. The bases are not congruent, otherwise it would be a rectangle, right? Try looking at an actual isosceles trapezoid, and let me know what you think from those statements now?

Answer 8

Omg thank you! I thought it was D, but I wasnt sure, thanks.

And... "A quadrilateral is a square if it's a rhombus and a rectangle." Is that false?

Answer 9

I think it's true, since rectangle means it has 4 right angles, and rhombus means it has 4 equal sides lengths [and thus congruent sides].

Answer 10

Then, which of these statements is false?
a- a parallelogram is a rectangle if its diagonals are congruent.
b- A parallelogram is a rhombus and a rectangle.
c- a quadrilateral is a square if it's a rhombus and a rectangle.
d- a quadrilateral is a rectangle if it has four right angles.

Answer 11

B. A parallelogram is not necessarily a rhombus, nor is it necessarily a rectangle; rectangles and rhombi are technically special cases of the parallelogram.

Answer 12

THANK YOU!! Im sorry to ask so many questions.... but with these two:
For 11, im not really sure of what I am supposed to do.
However for number 12, Im just missing Y, because idk how to get it :(.

Answer 13

Okay, for #11, you are given 2 side lengths of the rhombus, and we know that all 4 sides are equal on a rhombus, so you are allowed to set those sides equal to one another and solve for y!

For #12, one of the properties of a parallelogram is that the diagonals bisect [split into equal halves] one another, so both sides of each diagonal are equal to one another [on a given diagonal! Remember! The half of one diagonal is only equal to the other half of the SAME diagonal!]. Anyways, basically that means you can set those halves equal to one another as well. Get it?

Answer 14

Thanks! Ok, I got #11, but I still dont get it :$

Answer 15

I still dont get 12....

Answer 16

Okay, so you have a parallellogram ABCD:

Answer 17

And diagonal BD:

Answer 18

Now, our Diagonals AC and BC are together in the same drawing:


Diagonal AC is split into 2 parts, and so is Diagonal BC

Answer 19

BUT only the two parts of AC are congruent to each other, and only the two parts of BC are congruent to eachother, as so: