Isosceles Trapezoid Property: Analyzing Base Angle Relationships

True OR False:

In all isosceles trapezoids the base Angles are equal.

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Step-by-step video solution

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00:05 Are the base angles equal in every isosceles trapezoid? Let's find out!
00:10 The given data tells us the sides are equal. Interesting, right?
00:15 Now, let's draw the diagonals of the trapezoid. Visualize the lines from opposite corners.
00:29 Notice how the diagonals are equal in length. That's key!
00:39 We see that triangles are congruent by the S.A.S. Rule. That's Side, Angle, Side.
00:51 So, the corresponding angles are equal by congruence. Aha!
01:01 And that's how we solve this problem! Well done!

Step-by-step written solution

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1

Understand the problem

True OR False:

In all isosceles trapezoids the base Angles are equal.

2

Step-by-step solution

True: in every isosceles trapezoid the base angles are equal to each other.

3

Final Answer

True

Practice Quiz

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True OR False:

In all isosceles trapezoids the base Angles are equal.

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