Vocabulary
What is the definition for a parallelogram?
A quadrilateral in which both pairs of opposite sides are parallel.
What are the 5 properties of a parallelogram?
1)Opposite sides parallel
2)Opposite sides congruent
3)Opposite angles congruent
4)Consecutive angles supplementary
5)Diagonals bisect each other
A square has all the properties of a parallelogram and...
1)All the properties of the Rhombus
2)All the properties of the rectangle
A rectangle has all of the properties of the parallelogram and...
1)All angles are right angles
2)Diagonals are congruent
A rhombus has all of the properties of a parallelogram and...
1)All sides are congruent
2)Diagonals are perpendicular
3)Diagonals bisect the angles
What does congruent mean?
When an object sides or angles are the same measure.
What is the acronym for the properties of a parallelogram?
SSAAD
True or False a square has diagonals congruent?
True, a square has diagonals congruent because a square has all of the properties of a rectangle, and one of a rectangles properties is diagonals are congruent.
All of the angles in a rectangle are____
all right angles.
True or False a rhombus has diagonals bisect the angle?
True, a rhombus has the property diagonals bisect the angle.
What are parallel lines and what do they from...
Parallel lines are lines that never intersect and they form alternate interior angles.
What can you use when triangles are proven congruent?
Corresponding Parts of Congruent Triangles are Congruent.
Does a square have the property both pairs of opposite sides congruent?
Yes a square has this property because it is a property of a parallelogram.
True or False a rectangle has the property diagonals are perpendicular?
False, a rectangle does not have the property diagonals are perpendicular because a rectangle only has the properties of a parallelogram and its 2 special properties.
In a rhombus all the diagonals are___
perpendicular.
What is a perpendicular bisector?
A perpendicular bisector is a line that cuts a segment into two equal parts at 90 degrees.
A quadrilateral must be a parallelogram if one pair of opposite sides is...
1)congruent, only.
2)parallel and the other pair of opposite sides is congruent.
3)parallel, only.
4)both congruent and parallel.
Choice #4 would be correct because a parallelogram must have one pair of opposite sides congruent and parallel in order to be a parallelogram.
In a square in order for you to prove a square a quadrilateral, do you need a property of a rhombus and a rectangle?
Yes, in order for you to prove a square a quadrilateral you do need a property from a rhombus and a rectangle because a square has to have a property of a rhombus and a rectangle for it to be a square.
If a rectangle must have diagonals congruent, what other property should it have?
The other property it should have is all angles are right angles.
The property that is missing is diagonals are perpendicular.
If consecutive angles are 90 degrees and they add up to 180 degrees, what is term for what they add up to.
The term is supplementary, it is equal to 180 degrees.
Which of the following statements is NOT true for a parallelogram?
1)Its diagonals bisect each other.
2)Its opposite sides are congruent.
3)Its opposite angles are congruent.
4)Its opposite angles are bisected by the diagonals.
Choice #4 because that isn't a property of a parallelogram, the rest of the choices are properties of a parallelogram.
What statement does not guarantee that a quadrilateral is a square?
1)The quadrilateral is both a rhombus and a rectangle.
2)The quadrilateral is a parallelogram with perpendicular diagonals.
3)The quadrilateral has 4 congruent sides and 4 congruent angles.
4)The quadrilateral has 4 right angles and 4 congruent sides.
Choice #2 would be the correct answer because the perpendicular diagonals is a property of a rhombus, but it also has to have a property of a rectangle in order for it to be a square.
If a square has both pairs of opposite sides parallel, on the same side does it have both pairs of opposite sides congruent?
Yes it does because a square has all of the properties of a parallelogram.
A rhombus has 4 congruent sides, are those 4 sides parallel?
No those sides aren't parallel because rhombuses don't have the properties of a parallelogram.