Triangle ABCis rotated 90° clockwise around the origin to get

Mathematics

1 answer:

Elanso [62]2 years ago

7 0

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

You might be interested in

Andre constructs the image of line n under a dilation centered at point O that is not on line n. Becca construct a different ima

GenaCL600 [577]

<em /><u><em /></u>I think that both lines will show only 1 line because 1 line will be on top of the other. I believe this because both lines are dilated with its center at point O which does not lie on line n. Whatever dilation Andre uses may also be the dilation used by Becca since their lines centered at point O. Both lines will have the same slope and share the same coordinates.

6 0

3 years ago

In this unit, you studied a handful of circle theorems. However, there are other circle theorems not covered in this unit or cou

Lerok [7]

It should be noted that the angle at the center of the circle is twice the angle at the circumference.

<h2>Circle Theorem</h2>

It should also be noted that the angle in a semicircle is a right angle. Angles that are in the same segment are equal.

Furthermore, the opposite angle that is in a cyclic quadrilateral sum is 180°. The angle between the chord and the tangent is also equal to the angle in the alternate segment.

Learn more about circles on:

brainly.com/question/24375372