Podcast
Questions and Answers
What can be concluded about the angles of a parallelogram based on the exploration?
What can be concluded about the angles of a parallelogram based on the exploration?
- All angles measure 90°.
- Opposite angles are supplementary.
- Opposite angles are the same. (correct)
- Consecutive angles are equal.
What do the diagonals of a parallelogram do?
What do the diagonals of a parallelogram do?
- They are always equal in length.
- They never intersect.
- They create right angles.
- They bisect each other. (correct)
What is a property of the sides of a parallelogram?
What is a property of the sides of a parallelogram?
- Opposite sides are congruent. (correct)
- All sides are equal.
- Adjacent sides are equal.
- All sides are parallel.
Which angle measures were observed in the parallelogram?
Which angle measures were observed in the parallelogram?
What is true regarding the lengths of the sides of the parallelogram?
What is true regarding the lengths of the sides of the parallelogram?
What defines a polygon?
What defines a polygon?
What is true about equilateral polygons?
What is true about equilateral polygons?
What does the Triangle Exterior Angle Theorem state?
What does the Triangle Exterior Angle Theorem state?
Which of the following correctly describes an exterior angle of a polygon?
Which of the following correctly describes an exterior angle of a polygon?
Which statement about regular polygons is true?
Which statement about regular polygons is true?
What is one method to prove that a quadrilateral is a parallelogram?
What is one method to prove that a quadrilateral is a parallelogram?
Which of the following pairs of slopes correctly demonstrates that two sides are parallel?
Which of the following pairs of slopes correctly demonstrates that two sides are parallel?
If two pairs of opposite angles in a quadrilateral are congruent, what can be concluded?
If two pairs of opposite angles in a quadrilateral are congruent, what can be concluded?
Which statement best describes the relationship necessary for diagonals to prove a quadrilateral is a parallelogram?
Which statement best describes the relationship necessary for diagonals to prove a quadrilateral is a parallelogram?
To determine if quadrilateral STUV is a parallelogram using the first method, what key condition was met?
To determine if quadrilateral STUV is a parallelogram using the first method, what key condition was met?
Flashcards
Parallelogram Definition
Parallelogram Definition
A quadrilateral is a parallelogram if both pairs of opposite sides are parallel.
Parallelogram Opposite Sides Converse
Parallelogram Opposite Sides Converse
A quadrilateral is a parallelogram if both pairs of opposite sides are congruent.
Parallelogram Opposite Angles Converse
Parallelogram Opposite Angles Converse
A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.
Opposite Sides Parallel and Congruent Theorem
Opposite Sides Parallel and Congruent Theorem
Signup and view all the flashcards
Parallelogram Diagonals Converse
Parallelogram Diagonals Converse
Signup and view all the flashcards
Polygon
Polygon
Signup and view all the flashcards
Interior Angle
Interior Angle
Signup and view all the flashcards
Exterior Angle
Exterior Angle
Signup and view all the flashcards
Equilateral Polygon
Equilateral Polygon
Signup and view all the flashcards
Triangle Exterior Angle Theorem
Triangle Exterior Angle Theorem
Signup and view all the flashcards
Opposite angles in a parallelogram are congruent
Opposite angles in a parallelogram are congruent
Signup and view all the flashcards
Consecutive angles in a parallelogram are supplementary
Consecutive angles in a parallelogram are supplementary
Signup and view all the flashcards
Diagonals of a parallelogram bisect each other
Diagonals of a parallelogram bisect each other
Signup and view all the flashcards
Diagonals of a parallelogram create four congruent triangles
Diagonals of a parallelogram create four congruent triangles
Signup and view all the flashcards
Diagonals of a parallelogram create congruent alternate interior angles
Diagonals of a parallelogram create congruent alternate interior angles
Signup and view all the flashcards