9 3 Properties Of Rectangles Rhombuses And Squares - Fill and Sign ... - Free Printable

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1. Square
2. Rectangle
3. Rhombus
4. Parallelogram

5. DC = 6
6. AC = 6√2
7. DB = 6√2
8. AE = 3√2

9. XY = 10
10. m∠YWX = 45°
11. m∠WXY = 90°
12. m∠XYZ = 90°

Proof:
Since ABCD is a rectangle, by definition, all angles are right angles.
Therefore, ∠ABC = 90° and ∠BCD = 90°.
In triangles ABD and CDB:
- AB = CD (opposite sides of a rectangle are equal)
- AD = CB (opposite sides of a rectangle are equal)
- BD = DB (common side)
By the Side-Side-Side (SSS) congruence criterion, △ABD ≅ △CDB.
Thus, corresponding angles are equal: ∠ABD = ∠CDB and ∠ADB = ∠CBD.
Therefore, △ABD ≅ △CDB.

Parent Tip: Review the logic above to help your child master the concept of rhombus properties worksheet.

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