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Georgia [21]
3 years ago
5

What coordinate for F would make triangle ABC and triangle DEF congruent? (The file of the image is attached!)

Mathematics
2 answers:
DerKrebs [107]3 years ago
5 0
(-2,-3) would make these two triangles congruent.

If you look at the slope of line DE, you see it has a -1 slope.
Line BA also has a -1 slope.
So line AC = line FE and line BC = line FD

The slope of AC is 3
The slope of BC is 1/3
Two possible points for F are (2,1) and (-2,-3)
Since (2,1) is not an option, C. (-2,-3) is your answer.
mamaluj [8]3 years ago
4 0
(-2,-3) The x and y coordinates are the opposites of the original shape's coordinates.

Ex) Point B matches up with Point E. Point B coordinates are (-1,2). And Point E coordinates are (1,-2). opposite of -1 is 1 and opposite of 2 is -2.
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Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.
stealth61 [152]

Answer:

The coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

  • x-coordinate of the point does not change, but
  • y-coordinate of the point changes its sign

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y)        →       P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y)        →       P'(x, -y)

A(2, 3)       →       A'(2, -3)      

B(5, 5)       →       B'(5, -5)

C(7, 3)        →      C'(7, -3)

D(5, 2)       →       D'(5, -2)

Therefore, the coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

8 0
3 years ago
If a roll of vinyl costs 37$ and is a total of 210 sq in how much is each square inch and how to I figure that out?​
fenix001 [56]

Answer:

0.176 $

Step-by-step explanation:

Write a proportion.

37 dollars is to 210 square inches as x dollars is to 1 square inch.

37 $ / 210 in² = x / 1 in²

x ≈ 0.176 $

5 0
3 years ago
Can't figure out how to find the line of reflection.
FinnZ [79.3K]
I think you just got to plot the points it give you the it will be a reflection
3 0
3 years ago
A group of friends were working on a student film. They spent all their budget on props and equipment. They spent $912 on props,
alekssr [168]

Answer:

Total Budget: $1200

Step-by-step explanation:

76% = 912

1% = 12

100% = 12 x 100 = $1200

I brute forced till I got the number which multiplied by 76 came out to 912 from there I had what was 1% of the budget then I multiplied that by 100 for the answer.

4 0
3 years ago
Find the missing side lengths. Show work. <br> x=______ y=_____
olga_2 [115]
X = 5
Y = 6
Simply we just compare the two shapes and we can see that 6 decreases to 4..so we would assume the rest would decrease by 2. If we were not so sure we could simply do a^2 + b^2 = c^2 and fill in the numbers
4 0
2 years ago
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