My Grandson is with me and i need to help him with his homework. Please help
1. Prove that quadrilateral ABCD is a rectangle. B(5,7) A (-5,3) C(7,2) 10 D(-3,-2) Part A: Prove ABCD is a parallelogram. Find the slopes of all four sides, Show your work either on k in the spaces or on a separate sheet of paper Slope of AB Slope of CD Slope of AD Slope of B Write a sentence proving (justifying) why quadrilateral ABCD is a parallelogram. Use the slope values you found and properties of a parallelogram. Properties and Proving Checklist,Part B. Prove ABCD is a rectangle. Write a sentence proving (justifying) why parallelogram ABCD is a rectangle. Use the slope values you listed above and the properties of rectangles. Properties and Proving Checklist2. Prove that parallelogram EFGH is a square F (0,5) E(-5,3) -5 0 G ( 2,0 ) H(-3,-2) Part A: Prove that EFGH is a rectangle. Find the slopes of all four sides. Show your work either on Kami in the spaces or on a separate sheet of paper. Slope of EF Slope of FG Slope of GH: Slope of EH: Write a sentence proving (justifying) why parallelogram EFGH is a rectangle. Use the slope values you found and properties of a rectangle. Properties and Proving Checklist15 Part B: Prove that EFGH is a rhombus. Name a pair of consecutive sides and list their distances in the table below. Show your work either on Kami in the spaces or on a separate sheet of paper Side Length: Side Length: Write a sentence proving (justifying) why parallelogram EFGH is a rhombus. Use the lengths you found and properties of a rhombus. Properties and Proving Checklist Part C: Prove that EFGH is a square.3. Prove that parallelogram JKLM Is rhombus but not a square. See example 10- J(-2,9) M(-5,5) K(1,5) L(-2,1) Part A: Prove that JKLM is a rhombus. Find the distances of all four sides. Show your work either on Kami in the spaces or on a separate sheet of paper Length Length of KL: Length of LM: Length of JM: Write a sentence proving (justifying) why parallelogram EFGH is a rhombus. Use the lengths you found and properties of a rhombus. Properties and Proving Checklist Part B: Prove that JKLM is NOT a square. Name a pair of consecutive sides and list their slopes in the table below. Show your work either on Kami in the spaces or on a separate sheet of paper.Length of JK Length of KL Length of LM: Length of JM: Write a sentence proving (justifying) why parallelogram EFGH is a rhombus. Use the lengths you found and properties of a rhombus. Properties and Proving Checklist Part B: Prove that JKLM is NOT a square. Name a pair of consecutive sides and list their slopes in the table below. Show your work either on Kami in the spaces or on a separate sheet of paper. Side Slope: Side Slope: Write a sentence explaining why JKLM is a rhombus but NOT a square. Use your explanation from Part A and the slopes you found above. Properties and Proving Checklist
