Coordinate Geometry Recall

If segments are parallel, their slopes are

• negative

• equal

• negative reciprocals

• reciprocals

Tags

CCSS.8.EE.B.6

If segments are perpendicular, their slopes are

• equal

• reciprocals

• negative reciprocals

• undefined

Tags

CCSS.8.EE.B.6

Which choice represents the slope formula?

•  $y-y_1=m\left(x-x_1\right)$  

•  $y=mx+b$  

•  $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$  

•  $m=\frac{y_2-y_1}{x_2-x_1}$  
  

Tags

CCSS.8.EE.B.5

Which information is not sufficient to prove that a quadrilateral is a parallelogram?

• Prove that both pairs of opposite sides are parallel.

• Prove that both pairs of opposite sides are congruent.

• Prove that the diagonals intersect at right angles.

• Prove that diagonals bisect each other

Tags

CCSS.HSG.CO.C.11

Which two formulas can we use to prove that sides are congruent?

• Slope formula

• Pythagorean Theorem

• Midpoint formula

• Distance Formula

How can we prove that a triangle is a right triangle?

• Prove that $a^2+b^2=c^2$

• Prove that there is a right angle by showing that slopes of consecutive sides are equal

• Prove that there are two congruent sides

• Prove that there is a right angle by showing that slopes of consecutive sides are negative reciprocals

How can we prove that a triangle is isosceles?

• Prove that all three sides are congruent

• Prove that the slopes of consecutive sides are negative reciprocals

• Prove that there are exactly two congruent sides

• Prove that $a^2+b^2=c^2$

Tags

CCSS.8.G.A.2

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

• Slope formula

• Pythagorean Theorem

• Distance formula

• Midpoint formula

Tags

CCSS.HSG.GPE.B.7

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• do not bisect its angles

• are perpendicular to each other

Tags

CCSS.HSG.CO.C.11

A parallelogram is always a rectangle if

• the diagonals are congruent

• the diagonals bisect each other

• the diagonals intersect at right angles

• the opposite angles are congruent

Tags

CCSS.HSG.CO.C.11