The GEOMETRY Final will be on FORMATIVE! You MUST bring your fully charged, school provided Chromebook in order to take your final.
Mark "TRUE" if you read and understand this.
1 point
1
Question 2
2.
Determine the length of side BC in the diagram
1 point
1
Question 3
3.
Inscribed Angles Review
Solve the following problem.
Equations of Circles
1 point
1
Question 4
4.
Consider a circle with radius=10 units and center C(0,0). Point A(6, 8) and Point Q(-8, -6) exist on the circle.
Draw the radius to Point A.
Draw the vertical line segment \overline{AB} to the x-axis.
Draw the horizontal line segment \overline{BC} to the y-axis.
You have just created right triangle \triangle ABC. Repeat these steps to create right triangle \triangle QPC.
1 point
1
Question 5
5.
Use the Pythagorean Theorem to relate the three side lengths of the right triangles.
1 point
1
Question 6
6.
The coordinates from A(6,8) satisfy the Pythagorean Theorem:
The coordinates from Q(-8,-6), although they are negative, also satisfy the Pythagorean Theorem:
With this information in mind, what Standard Equation can you write to represent the equation of a circle with center (0,0) and radius r?
Any point with coordinates that satisfy this Standard Equation exists ON the circle. However, it is possible to determine if a point exists INSIDE the circle or OUTSIDE the circle as well!
1 point
1
Question 7
7.
What is the radius of the circle in each equation?
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Corresponding Item
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1 point
1
Question 8
8.
Transform the Unit Circle according to the given equation. Graph the circle on the coordinate plane.
Equation:
4 points
4
Question 9
9.
Describe the circle given by the equation
radius: _______
center: _______
5 points
5
Question 10
10.
Write the equation for a circle with center (0, −4) and radius 8.
5 points
5
Question 11
11.
Write the equation for the circle shown below.
5 points
5
Question 12
12.
A circle has a diameter with endpoints at (6, 5) and (8, 5).
Write the equation for the circle.
4 points
4
Question 13
13.
Graph the circle and type the center and radius in the Show Your Work box.
Center: _______
Radius: _______
4 points
4
Question 14
14.
Graph the circle and type the center and radius in the corresponding boxes.
Center: _______
Radius: _______
4 points
4
Question 15
15.
Identify each part of the circle given its equations. Then, graph the circle.
Center: _______
Radius: _______
4 points
4
Question 16
16.
Identify each part of the circle given its equations.
Center: _______
Radius: _______
Now let's work backwards and go from center and radius to an equation or from the graph to the equation.
1 point
1
Question 17
17.
Given the center and radius or diameter, write the equation in standard form.
Center: (5,3)
Radius: 2
1 point
1
Question 18
18.
Given the center and radius or diameter, write the equation in standard form.
Center: (-1,7)
Radius: 6
Finished with all greens?
Complete the "Writing Equations of Circles" exercise on Khan Academy.
--> be sure you have completed the Arc Length & Area of Sector exercises too