Expressing Geometric Properties with Equations (G.GPE)

Jayesh is buying supplies for his garden, modeled in the graph below. Each unit represents 1 foot. How many feet of fence does Jayesh need to surround his garden?

• 10 feet

• 18 feet

• 26 feet

• 36 feet

Tags

CCSS.HSG.GPE.B.7

A square has a side with endpoints (6, –4) and (–2, 2). What is the area of the square, do not include units?

Tags

CCSS.6.G.A.3

A square has a side with endpoints (6, –4) and (–2, 2). What is the perimeter of the square, do not include units?

Tags

CCSS.6.G.A.3

The area of an isosceles triangle is 28 square units, and its base has endpoints (4, –4) and (–3, –4). What is the third vertex of the triangle, if the third vertex is above the base? Write your answer as an ordered pair.

Tags

CCSS.HSG.GPE.B.7

Consider points A(–2, 3), B(4, –5), and C(a, b). Find a and b so that ΔABC is an isosceles triangle with base AB and the sum of the coordinates of C is 7. What are the coordinates of point C? Write your answer as an ordered pair.

Tags

CCSS.HSG.GPE.B.6

What is the distance between the two points on the graph?

• √29

• 29

• √65

• 65

Tags

CCSS.HSG.GPE.B.7

Maria makes a diagram of a wall where each unit represents 1 foot. It will cost her $4 per square foot to paint the wall. What will the total painting cost be?

• $240

• $640

• $960

• $1280

Tags

CCSS.HSG.GPE.B.7

Select all points that are the same distance from (4, 6) as (7, 4).

• (7, 8)

• (1, 4)

• (7, 0)

• (0, 4)

• (1, 8)

Tags

CCSS.HSG.CO.A.3

Select all the values that can be a side length of the triangle.

• √97

• √65

• 5√2

• √53

• √34

Tags

CCSS.6.G.A.3

A circle has center at C(0, 0). Point P(3, √15) lies on the circle. What is the radius of the circle?

• 2

• 3

• 24

• √24

Tags

CCSS.HSG.GPE.A.1