SAT Math 2.2 Geometry and Measurement. What is the value of z?
|Additional Topics in Math||Right triangle trigonometry|
|Coordinate Geometry||Distance Formula|
|Product Type||SAT Math|
|SAT Math||Geometry and Measurement|
got a marker and don’t mind drawing on your computer monitor…
…with CD as the hypotenuse. We can tell by subtracting the x and y values
from the coordinates that one leg will have a length of 3…
…and the other will have a length of 4.
We should be able to recognize that this is a 3, 4, 5 triangle…
Since we are told that both lines, or in our case, both hypotenuses, are of equal length…
…we know that the side lengths of our second right triangle must be 3 and 4 as well.
If we look at the difference between the x values, we can see that -3.5 is three units
left of -0.5. Which tells us that the OTHER leg must be
FOUR units in length. We’re given the y value of 1.5…
…so for the leg of our triangle to have a length of 4, the other y value must be -2.5.
And we’ve got our answer – option C.