Vocabulary | True or False | Formulas | Angle Types | Calculations |
---|---|---|---|---|
What is half a circle called?
Semi-Circle
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if a, b and c are sides of a right angled triangle;
a^2 + b^2 = c^2
True
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What is the Pythagoras Theorem?
a^2 + b^2 = c^2
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What is an angle whose measure is greater than 90° and less than 180°?
An Obtuse Angle
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Calculate the circumference of a circle with a 8 cm radius.
50.4 cm
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What is a line that touches the circle in one point only called?
Tangent
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Equilateral triangles have all three sides equal.
Isoceles triangles have two equal sides. Scalene triangles consist of three different side lengths.
True
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What is the formula used to find the total interior angles of a polygon?
(n-2) x 180 = total interior angles
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What type of angles are created where a transversal crosses other (usually parallel) lines and the angles are the ones at the same location at each intersection?
Corresponding Angles
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The length of an arc of a circle if the radius is 12.5 cm and the angle at the centre is 60°.
13.1 cm
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What is any chord passing through the center of a circle called?
Diameter
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The line drawn from the center of a circle at right angles to a chord, bisects the chord.
True
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If the ratio used for line lengths of two trianlges is a:b what would the ratio for the volume be?
(a:b)^3
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What is an angle whose measure is greater than 180° and less than 360°?
A Reflex Angle
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Find the radius of a circle with the circumference 1.
15.9 cm
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What is the set of points that are all equidistant to one point called?
Circle
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Similiar shapes are equiangular.
True
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If the original of a theorem states;
If a triangle is right angled, it is a^2 + b^2 = c^2 What would the converse be?
If a^2 + b^2 = c^2, the triangle is right angled.
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What type of angles share a common side and a common vertex, but do not overlap?
Adjacent Angles
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Find the angle of a sector with area 30 cm^2 and radius 12 cm.
23.9°
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What is a line segment joining two parts of a circle called?
Chord
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If there were four angles; A, B, C and D
A and B were supplementary C and D were supplementary A, B, C and D all are on line segment EF All four of the angles would make a complementary angle.
False
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What is the formula used to calculate the area of a sector?
A = (θ/360°) × (π r)^2
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What type of angles are created where a transversal crosses two (usually parallel) lines and each pair of these angles are outside the parallel lines, and on opposite sides of the transversal.
Alternate Exterior Angles
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The second hand of a clock is 10 cm long. How far does the tip of the second hand travel in 20 seconds?
20.9 cm
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