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3a. They share angle DBC, and they both have a right angle so by AA similarity, these two triangles are similar.

3b. They share angle DAC, and they both have a right angle so by AA similarity, these two triangles are similar. 

Hope this helps!

(2a)

We have that   triangle ADC  is similar to triangle  CDB

Thus   AD /DC = DC/ BD

or

y / h  =  h / x    cross-multiply

xy = h^2

(2b )   angle A = angle C

        angle D = angle D

So....by AA congruency.....triangle ADC  is similar to triangle CDB

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Very nice, much neater than mine.

No problem! I'm glad I can help!

It is one-half the area of a rectangle with sides 4 units × 3 units.

I don't know what unit you're in, but there are a few ways to determine this. You can ask the people in charge of it, because I'm sure they would know. You could take a tape measure if you carry one on you and measure it. Estimate the height of the people next to it, and see if you can find the ratio of them to the monument. If you know how far you are from it, and you know the angle from your feet to the top, then you can use trig to find it. Just see if you can guesstimate it.That's all I can think of right now. 

Hope this helps!

Since the y coordinates are the same.....the length  is just  absolute value difference of the x  coordinates =   l - 4 - 1 l =

l - 5 l    =  5 units

It is one-half the area of a rectangle with sides 4 units × 3 units. Just plot the points, and you can see that the base is 4, and the height is 3. So using the triangle area formula, we have 4 * 3 * 1/2 = 6. Go through each of these equations and you can see that the last one is the only one that satisfies this triangle.

Hope this helps!

You can't get help on tests. I like tests in class so the kids can't cheat. If you don't know it you don't know it.

If you put A and B on a graph, you can easily see that they are 4 units apart. Let's call the length of CB and/or DA x. Using the area formula for a rectangle, we have 4 * x = 20. Divide both sides by 4, and we get x = 5. So the points need to be at (-3, -2) and (1, -2). You can also do this by figuring out x, then subtracting x from the y coordinates. 

Hope this helps!

Given the information you sent me,it's 24. So all 4 of the triangles are congruent since they share a height and base. The area of one triangle is 5 * 2 * 1/2. The 2 and 1/2 cancel each other out, so the area of one triangle is 5. We have 4, so the area of all the triangles is 20. Then the area of the square is 2 * 2 = 4. So 4 + 20 = 22

Hope this helps!