👉 🔥 CLICK HERE! 🔥 👈

Related Topics:More Lessons for High School Regents ExamMath Worksheets High School Math based on the topics required for the Regents Exam conducted by NYSED. Theorems about Parallelograms: Opposite sides are congruent, Opposite angles are congruent, Diagonals bisect each other, consecutive angles are supplementaryParallelogramsA video about the definition and some theorems of parallelograms.A parallelogram is a quadrilateral with opposite sides parallel.Theorem 1: Opposite sides are congruent.Theorem 2: Opposite angles are congruent.Theorem 3: Diagonals bisect each other.Parallelograms - 4 TheoremsFour theorems are demonstrated and provenTHEOREM 8.3If a quadrilateral is a parallelogram, then its opposite sides are congruent.THEOREM 8.4If a quadrilateral is a parallelogram, then its opposite angles are congruent.THEOREM 8.5If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.THEOREM 8.6If a quadrilateral is a parallelogram, then its diagonals bisect each other. Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. ? Subscribe To This Site In this worksheet, we will practice using the distance, slope, and midpoint formulas to determine whether a quadrilateral in the coordinate plane is a parallelogram. Q1: The points 𝐾(−5,0), 𝐿(−3,−1), 𝑀(−2,5), and 𝑁(−4,6) are the vertices of quadrilateral 𝐾𝐿𝑀𝑁. Using the slope formula, is the quadrilateral a parallelogram? Q2: If 𝐴𝐵𝐶𝐷 is a quadrilateral, 𝐴=(−2,−17), 𝐵=(−14,10), 𝐶=(1,7), and 𝐷=(13,−20), find the midpoint of 𝐴𝐶 and 𝐵𝐷, then determine what type of figure 𝐴𝐵𝐶𝐷 is. A(−1,−5),(−1,−5), trapezoid B52,−8,−17,232, parallelogram C−12,−5,−12,−5, parallelogram D−12,−10,−12,−10, trapezoid Q3: Where must the coordinates of point 𝐶 be so that 𝐴𝐵𝐶𝐷 is a parallelogram? In that case, what is the area of the parallelogram? A(6,5), area = 35 B(5,6), area = 35 C(6,5), area = 24 D(5,6), area = 24 Q4: If 𝐴𝐵𝐶𝐷 is a parallelogram, what can be said of the slope of line ⃖⃗𝐴𝐵? Athe slope of line ⃖⃗𝐴𝐵 = the slope of line ⃖⃗𝐴𝐶 Bthe slope of line ⃖⃗𝐴𝐵 = the slope of line ⃖⃗𝐴𝐷 Cthe slope of line ⃖⃗𝐴𝐵 = the slope of line ⃖⃗𝐵𝐶 Dthe slope of line ⃖⃗𝐴𝐵 = the slope of line ⃖⃗𝐶𝐷 Q5: 𝐴𝐵𝐶𝐷 is a parallelogram. The coordinates of the points 𝐴, 𝐵, and 𝐶 are (0,−2), (4,7), and (6,3) respectively. Find the coordinates of 𝐷. A(2,−6) B(10,−6) C(10,8) D(2,8) Q6: Suppose that A=⟨−3,−9,−9⟩ and B=⟨−8,−7,5⟩ fix two sides of a parallelogram. What is the area of this parallelogram, to the nearest hundredth? Q7: Given that 𝐿=(−5,−6,0), 𝑀=(−2,−7,8), and 𝑁=(2,6,4), determine the area of the parallelogram 𝐿𝑀𝑁𝐸 to the nearest hundredth. Q8: Determine, in square units, the area of the shown parallelogram. Q9: A parallelogram has vertices at the points 𝐴, 𝐵, 𝐶, and 𝐷 with coordinates (−1,1), (1,3), (3,−1), and (1,−3) respectively. Work out the perimeter of the parallelogram 𝐴𝐵𝐶𝐷. Give your solution to one decimal place. By drawing a rectangle through the vertices of the parallelogram, or otherwise. Work out the area of the parallelogram 𝐴𝐵𝐶𝐷. Q10: A quadrilateral has vertices at the points (2,1),(3,3),(6,1), and (5,−1). What is the name of the quadrilateral? ARhombus BParallelogram CSquare DRectangle ETrapezoid This lesson includes 1 additional question and 63 additional question variations for subscribers.

Items