Exploring Area and Perimeter in Coordinate Geometry

What formula is used to calculate the distance between two points in the coordinate plane?

• Quadratic formula

• Pythagorean theorem

• Distance formula

• Slope formula

Tags

CCSS.HSG.GPE.B.7

What property do perpendicular lines have regarding their slopes?

• Their slopes are equal

• Their slopes are opposite reciprocals

• Their slopes are both positive

• Their slopes are both negative

Tags

CCSS.8.EE.B.6

How do you verify that a shape is a rectangle using slopes?

• Check if opposite sides are parallel

• Check if all angles are 90 degrees

• Check if all sides are equal

• Check if adjacent sides are perpendicular

Tags

CCSS.HSG.CO.C.11

What is the area of a rectangle if the base is 2√5 and the height is 3√5?

• 15 units squared

• 30 units squared

• 25 units squared

• 10 units squared

Tags

CCSS.7.EE.B.3

What method is used to find the area of a complex polygon in the coordinate plane?

• Using the distance formula on all sides

• Adding the area of all internal triangles

• Calculating the perimeter and dividing by the number of sides

• Subtracting the area of internal shapes from the total area

Tags

CCSS.HSG.GPE.B.7

How many units squared is the area of the large square used to calculate the area of the trapezoid-like polygon?

• 56 units squared

• 60 units squared

• 50 units squared

• 45 units squared

What is the area of triangle A within the large square?

• 10 units squared

• 20 units squared

• 5 units squared

• 15 units squared

Tags

CCSS.6.G.A.1

What is the area of triangle D within the large square?

• 3 units squared

• 5 units squared

• 7 units squared

• 9 units squared

Tags

CCSS.6.G.A.1

What is the corrected total area of the trapezoid-like polygon after subtracting the areas of the triangles?

• 29 units squared

• 25 units squared

• 31 units squared

• 35 units squared

Tags

CCSS.6.G.A.1

What is the final step in the method used to find the area of the trapezoid-like polygon?

• Add the areas of the triangles

• Divide the area of the large square by the number of triangles

• Multiply the base and height of the large square

• Subtract the areas of the triangles from the area of the large square

Tags

CCSS.6.G.A.1