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Please help if you know how to do Similarity in Geometry.

Please help if you know how to do Similarity in Geometry.-example-1
User Enowneb
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Explanation:

1. ABCD is a trapezoid

We are given that ABCD is a trapezoid.

2. AD || BC

By definition of a trapezoid, one pair of opposite sides are parallel.

3. ∠ADE ≅ ∠CBD

Since AD and BC are parallel, the angles formed by the transversal line BD are congruent alternate interior angles.

4. ∠DAE ≅ ∠BCA

Line AC is also a transversal line, so the angles it forms with AD and BC are also alternate interior angles, which are congruent.

5. ΔAED ~ ΔCEB

Triangles AED and CEB share two pairs of congruent angles, so by AA similarity, they are similar.

User Bernardo Ramos
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