In mathematics, vertical angles are always congruent. Vertical angles are the angles positioned opposite from each other when two lines intersect. They are called vertical because the angles share the same vertex, or cor...

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Examples of vertical angles in real life settings include the black and white railroad crossing signs found on roadways near railroads, open scissors and the letter "X." Other examples include the point where ceiling bea...

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The azimuth angle in astronomy is the arc of the horizon measured clockwise from the south point or north point of the horizon to the point on the horizon intersected by the object's line of altitude. The azimuth is meas...

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The two congruent legs of an isosceles triangle are also called congruent sides. An isosceles triangle is a two-dimensional geometric figure containing two sides that are of equal length.

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To show that two triangles are congruent by the SSS (side-side-side) theorem, all three corresponding sides must be shown to be of equal length. The letters SSS stand for the three sides of the two triangles.

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A scalene triangle has no parallel sides and no equal angles. The three noncongruent sides of a scalene triangle are of different lengths, and the measurements of the three unequal angles inside the triangle, like those ...

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Some parallelograms, such as rectangles and squares, contain right angles. Another type of parallelogram, known as a rhombus, may or may not contain right angles.

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