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Constructions to Know Geometry Facts about lines and triangles Vertically opposite angles are equal in measure Straight line adds to 180° A+B=180° Alternate angles are equal in measure (when you have 2 parallel lines and line going through them-angles inside lines) Corresponding angles are equal in measure (they are on the top of parallel lines or on the bottom either side) Angles in a triangle add to 180° The exterior angle of a triangle is equal to the 2 interior opposite angles <x=<a+<b If 2 sides of a triangle are equal in measure the angles opposite those sides are equal in measure called isosceles triangle. In an equilateral triangle all the sides are equal all the angles are equal to 60°. Facts about parallelograms Opposite angles and sides in a parallelogram are equal in measure. Adjacent angles add to 180° < A + < D = 180° <B + < C =180° When a diagonal is drawn, alternate angles are equal. The diagonal does not bisect the corner angles. A=C B=D Example Example A D C D Example Example Example