• anonymous
I need help with this proof: In parallelogram ABCD, AE and CF are perpendicular to diagonal BD, and EF = 10 cm. If BD = 28 cm, then how long are DE and BF? Given: ABCD is Parallelogram, AE and CF are perpendicular to diagonal BD, EF = 10 cm. BD = 28 Prove: How long are DE and BF Statements Reasons 1 ABCD is a parallelogram 1 Given 2 AE and CF are perpendicular to diagonal BD. 2 Given 3 AD is parallel to BC 3 4 Angle ADE is congruent to angle CBF 4 5 Angle AED and angle CFB are right angles. 5 6 Angle AED is congruent to angle CFB 6 7 AD is congruent to BC 7 8 Triangle AED is congruent to triangle CFB 8 9 DE is congruent to BF 9 10 EF = 10 and BD = 28 10 11 BD = DE + EF + FB 11 12 28 = DE + 10 + FB 12 13 18 = DE + FB 13 14 DE = FB 14 15 18 = 2(DE) 15 16 9 = DE = FB 16
Geometry
• Stacey Warren - Expert brainly.com
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SOLVED
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