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OLga [1]
1 year ago
11

Given: E is the midpoint of and ABCD is a rectangle. Prove: △ABE≅△DCE.

Mathematics
1 answer:
andrezito [222]1 year ago
6 0

Answer:

AE = ED/////  A MIDPOINT DIVIDES A SEGMENT INTO TWO CONGRUENT SEGMENTS

AB = DC ///// OPPOSITE SIDES OF A RECTANGLE ARE CONGRUENT

<A IS A RIGHT ANGLE ///// THE INTERIOR ANGLES OF A RECTANGLE ARE RIGHT ANGLES

<D IS A RIGHT ANGLE ///// THE INTERIOR ANGLES OF A RECTANGLE ARE RIGHT ANGLES

<A = <D ///// ALL RIGHT ANGLES ARE CONGRUENT

TRIANGLES ABE = DCE ///// SAS

Hope this might help you.

Step-by-step explanation:

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Write a quadratic function in standard form with a leading coefficient of 1 for the given set of zeros. 7 and 4
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We are given : Zeros x=7 and x=4 and leading coefficent 1.

In order to find the quadratic function in standard form, we need to find the factors of quadratic function first and the multiply by given leading coefficent.

For the given zeros x=7 and x=4, we get the factors (x-7) and (x-4).

So, we need to multiply (x-7) and (x-4) by foil method.

We get

(x-7)(x-4) = x*x + x* -4 -7*x -7*-4

x^2 -4x -7x +28.

Combining like terms, we get

-4x-7x = -11x

x^2 -4x -7x +28 = x^2 -11x +28.

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We get

1(x^2 -11x +28) = x^2 -11x +28.

Therefore, the required quadratic function in standard form is x^2 -11x +28.


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Firdavs [7]
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