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Komok [63]
3 years ago
11

A triangle is going to be reflected over the x-axis and translated 4 units left and 2 units up. Which of the following is a TRUE

statement?
A
The image with be larger than the pre-image

B
The image with be smaller than the pre-image

C
The image and pre-image will be congruent

D
The image and the pre-image will not be congruent.
Mathematics
2 answers:
ziro4ka [17]3 years ago
4 0
C. The image and the pre image will be congruent
german3 years ago
4 0
C
The image and pre-image will be congruent
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The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

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Divide both sides by 3:

3y/3 > 6/3 - bx/3

y > 2 - (b/3)x

This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

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