Two lines cross and the opposite angles are equal., Vertically opposite angles, A triangle has two equal sides, so the angles opposite those sides are equal., Isosceles Triangle Theorem, A transversal creates equal alternate angles on two lines. What does this prove about the lines?, The lines are parallel, The three interior angles of a triangle always add to:, 180°, Two parallel lines are crossed by a transversal. Which type of angles will always be equal?, Corresponding angles, An exterior angle of a triangle equals:, The sum of the two interior opposite angles, In this shape, opposite sides and opposite angles are equal:, Parallelogram, A diagonal splits a parallelogram into two:, Congruent triangles, What happens to the diagonals in a parallelogram?, They bisect each other, Three parallel lines cut proportional segments on transversals. This is known as:, Theorem 11 / Parallel Lines Theorem, A line parallel to one side of a triangle divides the other two sides in the same:, Ratio, If two triangles are similar, their corresponding sides are:, Proportional, In a right-angled triangle, the square of the hypotenuse equals: a2+b2=c2, The sum of the squares of the other two sides, If the square of the longest side equals the sum of the squares of the other two sides, then the triangle is:, Right-angled, When two triangles are congruent, their matching sides and angles are:, Equal
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Geometry 2 - Theorems
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