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Congruence (geometry)


In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. More formally, two sets of points are ...

Vertical Angles definition - Math Open Reference


As can be seen from the figure above, when two lines intersect, four angles are formed. Each opposite pair are called vertical angles and are always congruent.

Types of Angles - Regents Exam Prep Center


An angle is the intersection of two rays with a common endpoint. ... They are always equal in measure. <1 and <3 are vertical angles. <2 and ... THEOREM: Complements of the same angle, or congruent angles, are congruent. Supplementary ...

Congruent Angles - Math is Fun


Congruent Angles have the same angle (in degrees or radians). That is all. Congruent Angles These angles are congruent. They don't have to point in the same ...

euclidean geometry - Explain why vertical angles must be congruent ...


Jan 24, 2013 ... Explain why vertical angles must be congruent .... The non-adjacent angles are called vertical or opposite . Also, each pair of adjacent angles ...

Quadrilaterals - Developmental Math Topic Text


These quadrilaterals are called parallelograms They take a variety of shapes, but one ... They would never intersect because they are parallel. Notice, also, that the opposite angles of a parallelogram are congruent, as are the opposite sides.

Illustrated Glossary - K12 Open Ed


corresponding angles – two congruent angles on the same side of a line that crosses two parallel lines ... What are two lines that never meet called? A) plane

Cool math .com - Types of Triangles


Since the sum of the angles of a triangle is always 180 degrees... y + z = 90 degrees. The two sides of the triangle that are by the right angle are called the legs... ... all the sides are the same length (congruent) and all the angles are the same ...

Quadrilaterals - Shmoop


A rhombus has two sets of parallel sides and all sides must be congruent. ... Every parallelogram with four congruent sides and four 90° angles is a square. Square ... If the two legs are congruent, then it is called an isosceles trapezoid.

Angle pairs formed by parallel lines cut by a transversal - Math


When two parallel lines are cut by a third line, the third line is called the transversal. In the example below, ... Recall that all pairs of vertical angles are congruent.

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Congruent Angles - Math Open Reference


Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane. In the figure above, there are two congruent ...

Angles and parallel lines (Pre-Algebra, Introducing geometry ...


Vertical angles are always congruent, which means that they are equal. ... that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

Triangles (Pre-Algebra, Introducing geometry) – Mathplanet


The sum of the measures of the angles is always 180° in a triangle. We have ... A triangle without any congruent sides or angles is called a scalene triangle.