Math  /  Geometry

Questionblue figure.
Click and drag to draw lines connecting all corresponding points from the figure to its reflected image.

Studdy Solution

STEP 1

What is this asking? Connect each point of a triangle to its mirrored point across the x-axis! Watch out! Don't mix up the coordinates; reflections flip the sign of the y-coordinate!

STEP 2

1. Identify the points
2. Reflect the points
3. Connect the points

STEP 3

First, let's **identify the points** of the triangle in the second quadrant.
Suppose the vertices are A(x1,y1) A(x_1, y_1) , B(x2,y2) B(x_2, y_2) , and C(x3,y3) C(x_3, y_3) .

STEP 4

Now, let's do the same for the triangle in the fourth quadrant.
These points should be the reflections of the first triangle's points across the x-axis.
Let's call them A(x1,y1) A'(x_1, -y_1) , B(x2,y2) B'(x_2, -y_2) , and C(x3,y3) C'(x_3, -y_3) .

STEP 5

To **reflect the points** across the x-axis, we need to change the sign of the y-coordinates.
So, for each point (x,y) (x, y) , the reflected point will be (x,y) (x, -y) .

STEP 6

Now, let's **connect the points**!
Draw a line from each point in the second quadrant to its corresponding point in the fourth quadrant.
Connect A A to A A' , B B to B B' , and C C to C C' .

STEP 7

The solution is a set of lines connecting each vertex of the triangle in the second quadrant to its corresponding vertex in the fourth quadrant, reflecting across the x-axis.

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