Proofs of Parallelograms

What is this formula used for?

 $\frac{y_2-y_1}{x_2-x_1}$  

• To find the distance between two points

• To find the slope between two points

• To find the midpoint between two points

Tags

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.7

What is this formula used for?

 $\frac{y_2-y_1}{x_2-x_1}$  

• To find the distance between two points

• To find the slope between two points

• To find the midpoint between two points

What is the formula below used for?

 $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$  

• To find the distance between two points

• To find the slope between two points

• To find the midpoint between two points

Tags

CCSS.HSG.GPE.B.7

You have plotted the parallelogram in the picture. What is the slope of line BC without having to use the slope formula?

• 0

• Undefined

Tags

CCSS.HSG.GPE.B.4

Josie found the slope of AB to be

 $\frac{3}{4}$ . Use rise over run to check her answer. 

• No, the slope should be  $\frac{4}{3}$  

• She was correct. 

Tags

CCSS.HSS.ID.C.7

Use the diagram to answer the question.

• 1

• 2

• 3

• 4

Fill in the missing reason for the proof.

• Opposite angles are congruent.

• Alternate interior angles formed by parallel lines are congruent.

• Vertical angles are congruent.

• CPCTC

Fill in the missing reason for the proof.

• If alternate interior angles are congruent, then the lines are parallel.

• Definition of parallelogram

• Definition of parallel lines

• Opposite sides of a parallelogram are congruent.

Choose the correct missing reasons for the proof.

• 4) CPCTC; 6)All quads are parallelograms

• 4) Alternate Interior Angles are congruent; 6) Definition of paralelogram

• 4)CPCTC; 6)Definition of parallelogram

• 4) Alternate Interior Angles are congruent; 6) All quads are parallelograms

Fill in the missing reasons for the proof.

• 5) Alternate Interior angles are congruent; 6) ASA

• 5) Alternate Interior angles are congruent; 6) AAS

• 5) Vertical Angles are congruent; 6) ASA

• 5) Vertical Angles are congruent; 6) AAS