SAT Math 2.2 Geometry and Measurement

SAT Math 2.2 Geometry and Measurement. What is the value of z?

Additional Topics in MathRight triangle trigonometry
Coordinate GeometryDistance Formula
GeometryCoordinate Geometry
Product TypeSAT Math
SAT MathGeometry and Measurement

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.