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quester [9]
4 years ago
11

An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove th

e diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
Mathematics
1 answer:
seraphim [82]4 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

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Write an equation of the line that passes through (2,3) and is perpendicular to the line shown
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Answer:

(2,3)

Step-by-step explanation:

(2,3) is your answer

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Given: lines l and m are parallel, and line t is a transversal.

angle pair result/justification

1 and 2 are equal (vertical angles)

6 and 8 are equal (corresponding angles)

1 and 4 are equal (alternate exterior angles)

4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)

Note:

alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.

If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)

If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)

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How do I convert standard form to point slope
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The point-slope form:

y-y_1=m(x-x_1)

(x_1,\ y_1) - given point

m - given slope

The standard form:

Ax+By=C


y-y_1=m(x-x_1)    <em>use distributive property</em>

y-y_1=mx-mx_1      <em>add y_1 to both sides</em>

y=mx-mx_1+y_1      <em>subtract mx from both sides</em>

-mx+y=-mx_1+y_1       <em>change the signs</em>

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Answer:

x = 26

Step-by-step explanation:

Supplementary angles mean that when the two angles are added together, they add up to 180. With this info, we can set the two expressions equal to 180

124 + (2x + 4) = 180.    

128 + 2x = 180    combine like terms

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