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3 years ago

Points C and D are equidistant from point A. Complete the following table to prove that AEC≅ AED

Mathematics

2 answers:

inna [77]3 years ago

3 0

To prove that AEC≅ AED, we need to write following proofs or statement reasons.

It is given that points C and D are equidistant to point A. Hence,
AD ≅ AC

Next, CAE ≅ DAE. AE is the common side or the included side.

Then, AE ≅ EA by Reflexive Property of Congruence as it is congruent to itself.

Lastly, EAD ≅ EAC by Symmetric Property of Congruence as these triangles are mirror image of each other.

Therefore, we can conclude that AEC≅ AED by SSS or Side-Side-Side. That is when all sides of triangles are congruent then both triangles are deemed to be equal.

Romashka [77]3 years ago

3 0

Answer:

Step-by-step explanation:

Given: Points C and D are equidistant from point A.

To prove: AEC≅ AED

Proof:

It is given that points C and D are equidistant to point A. Hence,

AD ≅ AC

Now, CAE ≅ DAE. ( Because AE is the common side or the included side)

Then, AE ≅ EA (by Reflexive Property of Congruence )

Also, EAD ≅ EAC (by Symmetric Property of Congruence as these triangles are mirror image of each other)

Therefore, we can be concluded that AEC≅ AED by SSS rule of congruency.

Hence proved.

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Juli2301 [7.4K]

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Step-by-step explanation:

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Substitute x and y in the equation by the coordinates of the point
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If the two sides of the equation not equal each other then the point does't lie on the line

The equation of the line is 3 x - y = 2

a) Point (0 , -2)

∵ x = 0 and y = -2

- Substitute the values of x and y in the left hand side

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∵ 3(0) - (-2) = 0 + 2 = 2

∴ The left hand side = 2

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∴ The two sides of the equation are equal

∴ The ordered pair (0 , -2) lies on the line

b) Point (-3 , 4)

∵ x = -3 and y = 4

- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

∵ 3(-3) - (4) = -9 - 4 = -13

∴ The left hand side = -13

∵ The right hand side = 2

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c) Point (1 , -5)

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- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

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Learn more:

You can learn more about the linear equation in brainly.com/question/1979240

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4 years ago

Please help me:) I don’t know what to do

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Answer:

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This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.

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