Theorems (Junior Cert Mathematics): Quizzes

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Theorems
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What is true about vertically opposite angles when two lines cross?

They are always equal

In an isosceles triangle, what is true about the angles opposite the equal sides?

They are equal

When two parallel lines are crossed by another line, what are alternate angles?

Equal angles on opposite sides

What do the three angles inside any triangle always add up to?

180°180°

What are corresponding angles when parallel lines are crossed?

Angles in same position on each line

What does an exterior angle of a triangle equal?

Sum of two opposite interior angles

In a parallelogram, what is true about opposite sides?

They are equal length

How do diagonals of a parallelogram intersect?

They bisect each other

If three parallel lines cut equal segments on one transversal, what happens on another?

They cut equal segments too

A line parallel to one side of a triangle cuts the other two sides. What does it create?

Equal ratios on those sides

What is true about the sides of similar triangles?

They are proportional

In a right-angled triangle, what does Pythagoras' Theorem state about the hypotenuse?

c2=a2+b2c^2 = a^2 + b^2

What is the formula for the area of a triangle?

base×height2\frac{base \times height}{2}

What does a diagonal do to the area of a parallelogram?

Divides it into two equal areas

How does the angle at the centre of a circle compare to the angle at the edge on same arc?

Centre angle is twice edge angle

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