Fundamentals of Geometry
Circles
Angles and
Triangles
Perpendicular and Distance
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100

Define Geometry.

Measure of the Earth.

100

I am the center of the circle and the midpoint of the hypotenuse of a triangle inscribed in the circle. 

I am the circumcenter of the right triangle inscribed in the circle. 

100

8, 17 and 15 collectively are unique numbers in Geometry. Explain. 

Pythagorean Triple

100

Write an equation of a line that is perpendicular to 

y = 4x - 7 and passes through (12, 8)

y = -1/4x + 11

100

What new school wide initiative is starting at the O'Bryant on Monday April 3rd, 2023. 

BPS Food Waste Collection (Compost)

200

Define a sphere. 

The set of all points equidistant from a given point in the third dimension. 

200

Find the circumference of a circle that has an area of 36pi.

12pi or 37.7 units

200

An equilateral triangle has a perimeter of 36 units. Find the area of the triangle.  Round your answer to the nearest hundredth.  

62.35 units2

200

The slope of a line segment (not reduced) is 11/9. Find the length of the line.  Round your answer to the nearest hundredth. 

14.21 units

200

What O'Bryant athletic team is completing against Lincoln Sudbury today? 

Volleyball

300

What is the fundamental idea behind HOW parallel lines are created.

They are formed by duplicating angles (Corresponding). 

300

Circle K has a circumference of 32pi.  Find the area of a RIGHT isosceles triangle inscribed in Circle K. 

256 units2

300

BD bisect angle ABC.  The measure of Angle ABC is 8x-11 and the measure of angle ABD is 2x + 5.  Find the measure of angle ABC. 

31 degrees

300

Segment TK has a midpoint of (-2, 3) and K is located at (5,0).  Find the length of segment TK. Round your answer to the nearest hundredth.  

15.23 units

300

What is the name of our former governor who just left office AND the name of the new Governor of Massachusetts. 

Charlie Baker

Maura Healey

400

Lines that never intersect but are NOT parallel. 

Skew

400

Write an equation of a circle that has a diameter with endpoints (4, 6) and (-2, 8). 

(x-1)2+(y - 7)2=10

400

Angle A (2x -5) and Angle C (3x + 13) are same side interior angles.  Find the measure of Angle A. 

63.8 degrees

400

Find the distance between point (-4, 6) and line y = 2x.  Round your answer to the nearest hundredth.

6.26 units

400

What is the name of our new Superintendent of Boston Public Schools

Mary Skipper

500

The moon orbits these two things in the same amount of time.  b) What are the two things? b) How long does it take?

Sun and Earth

27 to 30 days.  

500

The endpoints of the diameter of a circle are (5,2) and (-4, -1).  Find the area of the circle. Round your answer to the nearest hundredth.

22.5pi unitsor 70.69 units2

500

The measure of the angles of triangle ABC are as follows:  A (5x+9)oB (6x-11)o, and C (7x -7)o. Identify the shortest side of the triangle. Please be ready to justify with your work. 

AC

500

Calculate the distance between y = 3x and y = 3x+5.  Round your answer to the nearest hundredth.

1.58 units

500

What prominent figure of Boston passed away this week and a huge mural of him is painted on the Madison Park building. 

Mel King

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