Podcast
Questions and Answers
Which of the following is sufficient to guarantee that a quadrilateral is a parallelogram?
Which of the following is sufficient to guarantee that a quadrilateral is a parallelogram?
- The diagonals are perpendicular
- The diagonals bisect each other
- Two consecutive angles are congruent
- Opposite sides are equal in length (correct)
What values of x and y guarantee that Quadrilateral ABCD is a parallelogram?
What values of x and y guarantee that Quadrilateral ABCD is a parallelogram?
- x = 320, y = 640
- x = 640, y = 1160
- x = 640, y = 640 (correct)
- x = 320, y = 1160
In the same figure above, If AD = 2x – 10 cm and BC = x + 30 cm, then BC =
In the same figure above, If AD = 2x – 10 cm and BC = x + 30 cm, then BC =
- 50 cm
- 60 cm
- 70 cm (correct)
- 80 cm
Quadrilateral ABCD is a parallelogram. If m∠B = (x + 40)° and m∠D = (2x + 20)°, what is m∠B?
Quadrilateral ABCD is a parallelogram. If m∠B = (x + 40)° and m∠D = (2x + 20)°, what is m∠B?
Quadrilateral ABCD is a parallelogram. If m∠A = (3x – 10)° and m∠D = (2x + 40)°, what is m∠A?
Quadrilateral ABCD is a parallelogram. If m∠A = (3x – 10)° and m∠D = (2x + 40)°, what is m∠A?
Which of the following statements is true about parallelograms?
Which of the following statements is true about parallelograms?
What happens if one pair of opposite sides of a quadrilateral are parallel and congruent?
What happens if one pair of opposite sides of a quadrilateral are parallel and congruent?
What are the conditions for a quadrilateral to be classified as a parallelogram?
What are the conditions for a quadrilateral to be classified as a parallelogram?
In a parallelogram, what can be said about any two consecutive angles?
In a parallelogram, what can be said about any two consecutive angles?
What is true about the naming convention of parallelograms?
What is true about the naming convention of parallelograms?
In a parallelogram, what is true about any two consecutive angles?
In a parallelogram, what is true about any two consecutive angles?
If ̅̅̅̅ ≅ ̅̅̅ and ̅̅̅̅ // ̅̅̅ , then what can be concluded about the quadrilateral LIVE?
If ̅̅̅̅ ≅ ̅̅̅ and ̅̅̅̅ // ̅̅̅ , then what can be concluded about the quadrilateral LIVE?
What happens if one pair of opposite sides of a quadrilateral are parallel and congruent?
What happens if one pair of opposite sides of a quadrilateral are parallel and congruent?
In a parallelogram, what can be said about the diagonals?
In a parallelogram, what can be said about the diagonals?
Which of the following conditions is sufficient to guarantee that a quadrilateral is a parallelogram?
Which of the following conditions is sufficient to guarantee that a quadrilateral is a parallelogram?
If mÌ…Ì…Ì…Ì… = 13 cm, then mÌ…Ì…Ì…Ì… = _____
If mÌ…Ì…Ì…Ì… = 13 cm, then mÌ…Ì…Ì…Ì… = _____
Quadrilateral ABCD is a parallelogram. If m∠A = (3x – 10)° and m∠D = (2x + 40)°, what is m∠A?
Quadrilateral ABCD is a parallelogram. If m∠A = (3x – 10)° and m∠D = (2x + 40)°, what is m∠A?
What values of x and y guarantee that Quadrilateral ABCD is a parallelogram?
What values of x and y guarantee that Quadrilateral ABCD is a parallelogram?
In the same figure above, If AD = 2x – 10cm and BC = x + 30 cm, then BC =
In the same figure above, If AD = 2x – 10cm and BC = x + 30 cm, then BC =
Which of the following is sufficient to guarantee that a quadrilateral is a parallelogram?
Which of the following is sufficient to guarantee that a quadrilateral is a parallelogram?
Study Notes
Conditions for a Parallelogram
- A quadrilateral is a parallelogram if one pair of opposite sides are parallel and congruent.
- A quadrilateral is a parallelogram if both pairs of opposite angles are equal.
- A quadrilateral is a parallelogram if both pairs of opposite sides are equal.
- A quadrilateral is a parallelogram if the diagonals bisect each other.
Properties of Parallelograms
- In a parallelogram, any two consecutive angles are supplementary (add up to 180°).
- In a parallelogram, the diagonals bisect each other.
- In a parallelogram, opposite sides are equal and parallel.
Naming Convention of Parallelograms
- The naming convention of parallelograms is to name them in alphabetical order.
Consecutive Angles in Parallelograms
- In a parallelogram, any two consecutive angles are supplementary (add up to 180°).
Diagonals in Parallelograms
- In a parallelogram, the diagonals bisect each other.
Quadrilateral ABCD
- Quadrilateral ABCD is a parallelogram if AD = 2x – 10 cm and BC = x + 30 cm.
- Quadrilateral ABCD is a parallelogram if m∠A = (3x – 10)° and m∠D = (2x + 40)°.
Example Problems
- If m̅̅̅̅ ≅ ̅̅̅ and ̅̅̅̅ // ̅̅̅, then the quadrilateral LIVE is a parallelogram.
- If mÌ…Ì…Ì…Ì… = 13 cm, then mÌ…Ì…Ì…Ì… = ?.
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Description
Learn about the definition of a parallelogram as a quadrilateral with two pairs of parallel sides, and the rules for naming a parallelogram. Explore the properties of a parallelogram, including the congruence of opposite sides.
