Podcast
Questions and Answers
If each diagonal of a quadrilateral divides it into two congruent triangles, then the quadrilateral is a parallelogram.
If each diagonal of a quadrilateral divides it into two congruent triangles, then the quadrilateral is a parallelogram.
True (A)
In parallelogram ABCD, if angle A measures 60 degrees, what is the measure of angle C?
In parallelogram ABCD, if angle A measures 60 degrees, what is the measure of angle C?
- Cannot be determined
- 60 degrees (correct)
- 120 degrees
- 30 degrees
In parallelogram PQRS, if PQ = 10 cm, then RS = _______ cm.
In parallelogram PQRS, if PQ = 10 cm, then RS = _______ cm.
10
Diagonal AC of quadrilateral ABCD divides it into two congruent triangles. Based on this property, what type of quadrilateral is ABCD?
Diagonal AC of quadrilateral ABCD divides it into two congruent triangles. Based on this property, what type of quadrilateral is ABCD?
Given parallelogram EFGH, where EG and FH are diagonals intersecting at point I. Which of the following statements must be true?
Given parallelogram EFGH, where EG and FH are diagonals intersecting at point I. Which of the following statements must be true?
A quadrilateral with one pair of parallel sides and one pair of congruent sides is always a parallelogram.
A quadrilateral with one pair of parallel sides and one pair of congruent sides is always a parallelogram.
In parallelogram WXYZ, if angle W is $2x + 30$ degrees and angle X is $3x - 10$ degrees, what is the value of x?
In parallelogram WXYZ, if angle W is $2x + 30$ degrees and angle X is $3x - 10$ degrees, what is the value of x?
If the area of parallelogram ABCD is 48 square units and its base AB is 8 units, then its height is _______ units.
If the area of parallelogram ABCD is 48 square units and its base AB is 8 units, then its height is _______ units.
If a quadrilateral has diagonals that bisect each other, what specific type of quadrilateral is it?
If a quadrilateral has diagonals that bisect each other, what specific type of quadrilateral is it?
Match the property of parallelograms with its description:
Match the property of parallelograms with its description:
Flashcards
Parallelogram Congruent Triangle Condition
Parallelogram Congruent Triangle Condition
If each diagonal of a quadrilateral divides it into two congruent triangles, then the quadrilateral is a parallelogram.
Using Parallelogram Properties
Using Parallelogram Properties
Properties like opposite sides being equal or opposite angles being equal can be used to calculate unknown measures within a parallelogram.
Study Notes
- A quadrilateral is a parallelogram if each diagonal divides it into two congruent triangles.
- Properties can be used to find measures of angles, sides, and other quantities within parallelograms.
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