ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Coordinate Geometry Videos 9 videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 1.2 Geometry and Measurement
246 Views

SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

SAT Math 3.2 Geometry and Measurement
207 Views

SAT Math 3.2 Geometry and Measurement

See All

SAT Math 2.2 Geometry and Measurement 220 Views


Share It!


Description:

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

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.

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...