Math parallelograms quiz

Triangle Midsegment Theorem

• The midsegment is parallel to the 3rd side

• The midsegment is ½ the length of the side it is parallel to

Midsegment

Connects the midpoints of two sides of a triangle

Theorem 5.9

If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.

Theorem 5.10

A line that contains the midpoint of one side of a triangle, and is parallel to the other side, passes through the midpoint of the third side.

True/False

Every parallelogram is a quadrilateral

True

True/False

Every quadrilateral is a parallelogram

False

True/False

All angles of a parallelogram are congruent

False

True/False

All sides of a parallelogram are congruent

False

True/False

In parallelogram RSTU, RS is parallel to TU

True

Sometimes/Always/Never

The diagonals of a quadrilateral ____ bisect each other

Sometimes

Sometimes/Always/Never

If the measures of two angles of a quadrilateral are equal, then the quadrilateral is ____ a parallelogram

Sometimes

Sometimes/Always/Never

If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is ____ a parallelogram

Always

Sometimes/Always/Never

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is ____ a parallelogram

Always

Sometimes/Always/Never

To prove a quadrilateral is a parallelogram, it is ____ enough to show that one pair of opposite sides is parallel

Never

What are the 5 ways to prove a quadrilateral is a parallelogram?

1. Both pairs of opposite sides are parallel

2. Both pairs of opposite sides are congruent

3. Opposite angles are congruent

4. The diagonals bisect each other

5. One pair of opposite sides are congruent and parallel

True/False

In a parallelogram, the consecutive angles are supplementary

True

What is the main term that the others fall under?

Quadrilateral

What are the three main types of quadrilaterals?

Trapezoids, parallelograms, and kites

Which of the three types of quadrilateral has more subgroups?

Parallelograms

What are the two subgroups of parallelograms?

Rectangles and rhombuses

What is the final subgroup of parallelograms that both rectangles and rhombuses lead to?

Square

Trapezoid

• The bases (the top and bottom) are parallel to each other.

• Opposite sides are of the same length.

Kite

Two pairs of adjacent sides are equal

Rectangle

Opposite sides must be equal and parallel to each other

Rhombus

• All four sides of the rhombus are equal in length

• Opposite sides of a rhombus are parallel to each other

Square

• All four interior angles are equal to 90°

• All four sides of the square are congruent or equal to each other

• The opposite sides of the square are parallel to each other