What is the angle subtended by a point on a circle to the diameter?
Using Circle Theorems: Angle and Semicircle as a Right Angle

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Mathematics
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University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Straight angle
Acute angle
Right angle
Obtuse angle
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you prove that two lines are perpendicular using gradients?
Their gradients are equal
Their gradients are negative reciprocals
Their gradients are positive reciprocals
Their gradients sum to zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in proving a triangle is a right angle triangle?
Calculate the area of the triangle
Find the midpoint of the hypotenuse
Determine the length of the sides
Sketch a diagram and connect the points
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to find the gradient between two points?
(X1 + X2) / (Y1 + Y2)
(Y1 + Y2) / (X1 + X2)
(X2 - X1) / (Y2 - Y1)
(Y2 - Y1) / (X2 - X1)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the center of the circumcircle for the triangle JKL?
(2, 4)
(6, 2)
(8, 4)
(5, 3)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the radius of the circumcircle be calculated?
Using Pythagoras' theorem
Using the perimeter of the triangle
Using the area of the triangle
Using the sum of the angles
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the circumcircle for the triangle JKL?
(X - 3)^2 + (Y - 5)^2 = 10
(X + 5)^2 + (Y + 3)^2 = 10
(X - 5)^2 + (Y - 3)^2 = 10
X^2 + Y^2 = 10
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