SOLUTION: Use the following image to answer the questions below:
a. What information would you need to determine if the figure is a parallelogram? Name multiple ways to determine if t
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a. What information would you need to determine if the figure is a parallelogram? Name multiple ways to determine if t
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Question 1193730: Use the following image to answer the questions below:
a. What information would you need to determine if the figure is a parallelogram? Name multiple ways to determine if the figure is a parallelogram.
b. What information would you need to determine if the figure is a rhombus? A square? A rectangle?
c. Two of your friends are arguing: Marlon argues that a parallelogram is also a trapezoid; Tamara argues that a parallelogram is not a trapezoid. List some of the reasons Marlon might argue that parallelograms are also trapezoids based on the similarities between the figures.
d. List some of the reasons Tamara might argue that parallelograms are not trapezoids based on the differences between the figures.
An arbitrary quadrilateral on a plane is a parallelogram if and only if
- the opposite sides are parallel;
- the opposite sides are of equal length;
- each diagonal divides it in two congruent triangles;
- the diagonals bisect each other;
- the opposite angles are congruent;
- the sum of any two consecutive angles is equal to 180°.
By the definition, a rhombus is a parallelogram which has all the sides of the same length.
As a parallelogram, any rhombus has all the properties of a parallelogram listed above.
Rhombis (plural of rhombus) have additional properties.
- -in a rhombus, each diagonal divides it in two congruent isosceles triangles.
- in a rhombus, the two diagonals are perpendicular.
- in a rhombus, the diagonals are the angle bisectors.
