Are the triangles similar? Yes, by the AA rule.
Yes, by the SSS rule.
Not similar.
Yes, by the SS rule.

Yes, by the AA rule.

Step-by-step explanation:

You can see that in both triangles, angle BCD (at the top of the triangle) is marked with the same symbol. This tells us that the two angles are equal.

The same applies with angles CDB (bottom right of the triangle).

We know that all the angles in a triangle add up to 180 degrees, so if two out of the three angles are the same in both triangles, then the third must be equal as well if the angles have to add up to 180.

Therefore, the angles in both triangles correspond, so the triangles are similar by the AA or AAA rule.

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3