A statement that might be true, which can then be tested. The “if” portion of a conditional statement.

Mathematics

1 answer:

Lynna [10]3 years ago

5 0

The “if” portion is called the hypothesis, just like in a scientific experiment.

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To prove that DEF congruent DGF by SAS,what additional information is needed

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Answer:

∠DFE ≅ ∠DFG

Step-by-step explanation:

we know that

Triangles are congruent by SAS, if any pair of corresponding sides and their included angles are equal in both triangles

In this problem we have that

The pair of corresponding sides that are equal are

EF=GF and DF (is the same side for both triangles)

The included angle are ∠DFE and ∠DFG

therefore

The additional information needed to prove that triangles DEF and DGF are congruent by SAS is that angles ∠DFE and ∠DFG are equal

∠DFE ≅ ∠DFG

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4 years ago

Read 2 more answers

I need help with this pls

antoniya [11.8K]

I'll explain it simply for you

1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse
${a}^{2} + {b}^{2} = {c}^{2}$
Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is
${a}^{2} + {b}^{2}$
Then the right side which is
${c}^{2}$

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26

a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side

26^2 = 676
Since they aren't equal it isn't a right angled triangle...

Then let
a=7.5
b=10
c=12.5

7.5^2 + 10^2
= 56.25 + 100
= 156.25

12.5^2 = 156.25

They are EQUAL
Therefore it is a right triangle too

Hopefully I helped

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