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Geometry Section 6.4B Name________________________________ Find the measures of the numbered angles in each rhombus. 1. 2. 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 3. 4. 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 5. 6. 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 7. 8. 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ Find the value of x for the given parallelogram. 9. rhombus 10. rhombus 11. rectangle 12. rhombus 13. rectangle 14. rectangle 15. Mark the box of the figure(s) for which the property is always true. 16. The following diagrams are not drawn to scale. Use the information from the diagram to name the special quadrilateral if possible. _____________ _____________ _____________ _____________ _____________ Find the length or angle measure. 17. WXYZ is a square. 18. WXYZ is a rhombus. 19. WXYZ is a rectangle. 𝑊𝑋 = 1 − 10𝑥 𝑚∠𝑋 = 24(10 − 𝑥)° 𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 𝑜𝑓 ∆𝑋𝑌𝑍 = 24 𝑌𝑍 = 14 + 3𝑥 𝑚∠𝑍 = 6(𝑥 + 15)° 𝑋𝑌 + 𝑌𝑍 = 5𝑥 − 1 𝑋𝑌 = ___________ 𝑚∠𝑌 = ___________ 𝑋𝑍 = 13 − 𝑥 𝑊𝑌 = __________ 20. Find the measure of each angle for the given rectangle. 𝑚∠1 = __________ 𝑚∠2 = __________ 𝑚∠3 = __________ 𝑚∠4 = __________ 𝑚∠4 = __________ 𝑚∠5 = __________ 𝑚∠6 = _________ 𝑚∠7 = _________
