Coordinate Geometry Proofs

What formula do we use to find the length of a side of a figure?

• Midpoint Formula
• Slope Formula
• Pythagorean Theorem
• Distance Formula

Tags

CCSS.HSG.GPE.B.7

Which formula should be used to prove lines are parallel or perpendicular?

• Distance Formula
• Slope Formula
• Midpoint Formula
• Pythagorean Theorem

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.GPE.B.4

How do you prove a quadrilateral is a parallelogram?

• Both pairs of opposite sides are congruent
• Diagonals are congruent
• One pair of opposite sides are congruent 
• Both pairs of opposite sides are congruent and diagonals are congruent

Tags

CCSS.HSG.C.A.3

How do you prove a quadrilateral is a Rectangle?

• Both pairs of opposite sides are congruent
• Diagonals are congruent
• One pair of opposite sides are congruent 
• Both pairs of opposite sides are congruent and diagonals are congruent

Tags

CCSS.HSG.CO.C.11

How do you prove a quadrilateral is a Square?

• All sides are congruent
• Diagonals are congruent
• All sides are congruent and diagonals are congruent
• All sides are parallel

Tags

CCSS.HSG.C.A.3

How do you prove a quadrilateral is a Trapezoid?

• All sides are congruent
• Both pairs of opposite sides are parallel
• One pair of opposite sides are parallel and the other pair is not parallel
• One pair of congruent sides

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

How do you prove a quadrilateral is an Isosceles Trapezoid?

• One pair of sides is parallel
• One pair of sides is parallel and the non parallel sides are congruent
• Opposite sides are congruent
• Show the figure has 4 sides

Tags

CCSS.HSG.CO.A.1

How do you prove a quadrilateral is a Rhombus?

• All sides are congruent
• Diagonals are congruent
• All sides are congruent and diagonals are congruent
• All sides are parallel

Tags

CCSS.HSG.CO.C.11

How do we prove a triangle is an isosceles triangle?

• Prove all sides are different lenghts
• Show that the three sides satisfy the pythagorean theorem
• Show that opposite angles are congruent
• Show that two sides are congruent

Tags

CCSS.2.G.A.1

How do we prove a triangle is a right triangle?

• Prove all sides are different lenghts
• Show that the three sides satisfy the pythagorean theorem
• Show that opposite angles are congruent
• Show that two sides are congruent

Tags

CCSS.8.G.B.8