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What are the similarities of a rhombus and a parallelogram?
They are just different names for the same shape. * * * * * Actually, they are not. A rhombus is a parallelogram with all its sides of the same length. It is, therefore a special kind of parallelogram. (Just like a square is a special kind of rectangle). So all properties of a parallelogram apply to a rhombus.
Properties of a parallelogram?
A parallelogram has 2 pairs of parallel lines
What are necessary when proving that the opposite angles of a parallelogram are congruent?
To prove that the opposite angles of a parallelogram are congruent, you can utilize the properties of parallel lines and transversals. Since the opposite sides of a parallelogram are parallel, the alternate interior angles created by a transversal are equal. Additionally, you can apply the fact that consecutive angles in a parallelogram are supplementary, leading to the conclusion that if one angle is known, its opposite angle must be equal. Thus, through these properties, you can establish that opposite angles are congruent.
Can a parallelogram be a rombus?
No because a parallelogram has different properties to a rhombus but they are both 4 sided quadrilaterals
What are necessary when proving that the oppsite sides of a parallelogram are congruent check all that apply?
To prove that the opposite sides of a parallelogram are congruent, you need to establish that the shape is a parallelogram, which can be done by showing that either pairs of opposite sides are parallel (using the properties of parallel lines) or that the diagonals bisect each other. Additionally, applying the properties of congruent triangles (such as using the Side-Side-Side or Side-Angle-Side postulates) can further support the proof. Ensure to use clear definitions and properties of parallelograms throughout the proof.
Why do all of the properties of a parallelogram apply to the rectangles?
Because a rectangle is a parallelogram.
What are the similarities of a rhombus and a parallelogram?
They are just different names for the same shape. * * * * * Actually, they are not. A rhombus is a parallelogram with all its sides of the same length. It is, therefore a special kind of parallelogram. (Just like a square is a special kind of rectangle). So all properties of a parallelogram apply to a rhombus.
Properties of a parallelogram?
A parallelogram has 2 pairs of parallel lines
What are three properties of a square?
rhombus,parallelogram
Which quadrilaterals have all the properties of a parallelogram?
Parallelograms!
Can a parallelogram be a rombus?
No because a parallelogram has different properties to a rhombus but they are both 4 sided quadrilaterals
Is Opposite sides congruent one of the properties of a parallelogram?
A parallelogram is a quadrelateral with opposite sides parallel and congruent.
Is a square a parellegram?
Although they have different properties a square and a parallelogram are both classed as 4 sided quadrilaterals.
What are necessary when proving that the oppsite sides of a parallelogram are congruent check all that apply?
To prove that the opposite sides of a parallelogram are congruent, you need to establish that the shape is a parallelogram, which can be done by showing that either pairs of opposite sides are parallel (using the properties of parallel lines) or that the diagonals bisect each other. Additionally, applying the properties of congruent triangles (such as using the Side-Side-Side or Side-Angle-Side postulates) can further support the proof. Ensure to use clear definitions and properties of parallelograms throughout the proof.
Is a trapezoid also a parallelogram explain why or why not?
A trapezoid is not a parallelogram because they both have different properties but they are both 4 sided quadrilaterals
Do rectangles have all properties of a parallelogram?
Yes. They both = 360 degrees
Is a parallelogram a rombus?
They are both 4 sided quadrilaterals but with different properties
