Answer:
1. ΔABC is a right triangle, with a right angle at ∠C. ~ Given
2. Draw an altitude from point C to (line segment) AB ~ From a point not on a line, exactly one perpendicular can be draw through the point to the line.
3. ∠CDB and ∠CDA are right angles ~ Definition of altitude
4. ∠BCA ≅ ∠BDC ~ All right angles are congruent
5. ∠B ≅ ∠B ~ Reflexive Property
6. ΔCBA ~ ΔDBC ~ AA Similarity Postulate
7. a/x = c/a ~ Polygon Similarity Postulate
8. a^2 = cx ~ Cross Multiply and Simplify
9. ∠CDA ≅ ∠BCA ~ All Right Angles are Congruent
10. ∠A ≅ ∠A ~ Reflexive Property
11. ΔCBA ~ ΔDBA ~ AA Similarity Postulate
Step-by-step explanation:
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