Geometry Section 6.2 Parallelograms Part 2

Geometry Section 6.2 Parallelograms

Properties of Special Parallelograms

Multiple Choice

Prove triangle ABC is congruent to triangle CDA

• SSS

• SAS

• ASA

• HL

• CPCTC

Multiple Choice

Now that the triangles are congruent, prove AB = CD and AD = CB

• SSS

• SAS

• ASA

• CPCTC

Multiple Choice

Now that the triangles are congruent prove angles B and D congruent

• Alternate interior angles Theorem

• Corresponding angles Theorem

• SSS

• CPCTC

Multiple Choice

Given the parallelogram to the left, what is x + y = ?

• 90

• 180

• 360

• There's no way to tell.

Multiple Choice

Given the parallelogram in the picture, how could you prove triangle YAX is congruent to triangle WAV?

• SSS

• SAS

• ASA

• HL

• CPCTC

Multiple Choice

Find the value of y

• 5

• 17

• 38

• 34

• 9

Multiple Choice

Find the value length of the shorter diagonal

• 9

• 17

• 34

• 5

• 5/3

Multiple Choice

Is the quadrilateral a parallelogram? If yes, state how you know.

• alternate interior angles are congruent making the lines parallel

• same side interior angles are supplementary making the opposite sides parallel

• Opposite sides are equal

• Not enough info

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 1
• 11
• 7
• 6

Multiple Choice

The figure is a parallelogram.  
Solve for x.  
What equation did you use?

• 9
• 6
• 10
• 2

If three or more parallel lines cut off equal pieces of one transversal then they will cut off equal pieces of every transversal.

​

Theorem 6 - 4

Fill in the Blanks

What is x?

Fill in the Blanks

What is AC?

Multiple Choice

Solve for x.

• 10

• 11

• 10.333

• 27

Multiple Choice

Find the measure of the acute angle.

• 33

• 111

• 69

• 29

Multiple Choice

Find the value of y.

• 33

• 111

• 69

• 29

Fill in the Blanks

Find JL.

Categorize

Options (11)

Both pairs of opposite sides are parallel

Both pairs of opposite sides are congruent

Both Pairs of opposite angles are congruent

The diagonals bisect each other.

Opposite sides are equal in length.

Exactly one pair of opposite sides are parallel

Exactly two pairs of consecutive angles are supplementary

Two pairs of consecutive sides are congruent, but no opposite sides are congruent.

Exactly one pair of opposite angles are congruent.

All four sides are congruent

All four angles are congruent

Closure: Work together to match the property or theorem with the quadrilateral.

Parallelograms

Trapezoid

Kite

Non-properties

Formative 6.2

​Problems 15 - 22

Homework