Geometry

This question has two parts:

Circle A is centered at (2,3) and contain point Z(-4,-5).

Part A: Select the method could be used to find the radius of the circle:

• Find the distance between the point A and Z.

• Find the equation of the line that pass through the points A and Z.

• Find the sum of the vertical and horizontal distances of the translations  that map the point A to point Z.

• Find the sum of the vertical and horizontal distances of the translations  that map the point Z to point A.

Tags

CCSS.HSG.GPE.A.1

What is the last statement and reason in this proof?

Tags

CCSS.HSG.SRT.B.5

Which of the following statement and reason can be used in the step number 5

Tags

CCSS.HSG.SRT.B.5

On a map the outline of the city is in a shape of the right trapezoid. The figure shows the measures of the city in miles of the boundaries given. The city has the population of 66,033 people. What is the population density in square mile of this city?

Tags

CCSS.6.G.A.1

A swim course for athletes training in a triathlon is modeled in a coordinate plan where each unit represent 50 meters (m). What is the length of the swim course rounded with the near meter?

• 2033 m

• 2037 m

• 1992 m

• 1950 m

Tags

CCSS.HSG.GPE.B.7

On circle A CD is a diameter and point G lie on the circle. What is the measure of <G?

• 132

• 66

• 24

• 90

Tags

CCSS.HSG.C.A.2

“The set of all points that are a fixed distance from a given point” is the definition for which of the following terms?

• Angle

• Circle

• Line segment

• Ray

Tags

CCSS.HSG.CO.A.1

Points A(-4,-3) and B(-1,5) are the endpoints of line segment AB. What ordered pair partitions line segment AB into a 1:3 ratio?

• (-13/4, -1)

• (-4/3, -1)

• (-5/2, 1)

• (-3, 15)

Tags

CCSS.HSG.GPE.B.6

Line segment FG is shown in the coordinate planLine IJ contains The point K(x,y) that partition IJ such that F and J are integers.Select all of the possible ratios of FK:KJ

• 1:3

• 2:5

• 3:7

• 6:1

• 7:21

Tags

CCSS.HSG.GPE.B.6

Points A(-4,-3) and B(-1,5) are the endpoints of line segment AB. What ordered pair partition the line segment AB with the ratio of 1:3.

• (-13/4, -1)

• (-4/3, -1)

• (-5/2, 1)

• (-3, 15)

Tags

CCSS.HSG.GPE.B.6