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m_a_m_a [10]
1 year ago
12

In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two tr

iangles are congruent by HL?
Mathematics
1 answer:
Deffense [45]1 year ago
8 0

XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.

Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.

Condition to be determined that proves triangles to be congruent by HL.

<h3>What is HL of triangle?</h3>

HL implies the hypotenuse and leg pair of the right-angle triangle.

Here, two right-angle triangles ΔXYZ and ΔEFG are congruent by HL only if their hypotenuse and one leg are equal, i.e. XZ ≅ EG and YZ ≅ FG respectively.

Thus, XZ ≅ EG and YZ ≅ FG are enough to make triangles congruent by HL.

Learn more about HL here:

brainly.com/question/3914939

#SPJ1

In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?

A.

XZ ≅ EG and ∠X ≅ ∠E

B.

XZ ≅ EG and YZ ≅ FG

C.

XZ ≅ FG and ∠X ≅ ∠E

D.

XY ≅ EF and YZ ≅ FG

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Answer: (x+10)^2+(y+6)^2=121

Step-by-step explanation:

The equation of a circle in the general form is:

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(x-h)^2+(y-k)^2=r^2

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

x^{2}+y^2+20x+12y+15=0

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-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

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