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3 years ago

What coordinate for F would make triangle ABC and triangle DEF congruent ?

Mathematics

2 answers:

timurjin [86]3 years ago

6 0

The answer is (-2, 3) but due to brainly's "guidelines" on posting an answer, apparently I have a link or inappropriate words, so message me or something and I'll give you my working.

Fittoniya [83]3 years ago

4 0

Answer:

Option B is correct

(-2, 3)

Step-by-step explanation:

From the given diagram:

The coordinates of triangle ABC are:

A(1, 0) , B(-1, 2) and C(2, 3).

The coordinates of triangle DEF are:

D(-1, 0) , E(1, 2)

We have to find coordinate F.

Let us consider triangle ABC and triangle DEF congruent.

A ↔ D

B ↔ E

C ↔ F

Using the rule of reflection across y-axis is given by:

$(x, y) \rightarrow (-x, y)$

Apply the rule of reflection on ABC we have;

$A(1, 0) \rightarrow (-1, 0)=D$

$B(-1, 2) \rightarrow (-(-1), 2)=(1, 2)=E$

$C(2, 3) \rightarrow F(-2, 3)$

Therefore, the coordinate of F would make triangle ABC and triangle DEF congruent is, (-2, 3)

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Answer:

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3 years ago

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lions [1.4K]

Answer:

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Step-by-step explanation:

we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).

but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).

then by using Pythagoras

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but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.

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snow_lady [41]

Answer:

Step-by-step explanation:

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