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SAT Math 2.2 Geometry and Measurement. What is the value of z?
Transcript
- 00:02
We suggest you take the math of least resistance.
- 00:08
In the graph below, AB equals CD. What is the value of z?
- 00:12
Here are the potential answers...
- 00:16
First of all, we don’t see any triangles in this diagram… but we’re about to.
- 00:19
Let’s draw ourselves an imaginary right triangle… or an actual one, if you’ve
Full Transcript
- 00:23
got a marker and don’t mind drawing on your computer monitor…
- 00:26
…with CD as the hypotenuse. We can tell by subtracting the x and y values
- 00:30
from the coordinates that one leg will have a length of 3…
- 00:33
…and the other will have a length of 4.
- 00:35
We should be able to recognize that this is a 3, 4, 5 triangle…
- 00:39
Since we are told that both lines, or in our case, both hypotenuses, are of equal length…
- 00:44
…we know that the side lengths of our second right triangle must be 3 and 4 as well.
- 00:49
If we look at the difference between the x values, we can see that -3.5 is three units
- 00:54
left of -0.5. Which tells us that the OTHER leg must be
- 00:58
FOUR units in length. We’re given the y value of 1.5…
- 01:01
…so for the leg of our triangle to have a length of 4, the other y value must be -2.5.
- 01:07
And we’ve got our answer – option C.
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