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RossThe Parallelogram Consecutive Angles Conjecture states that the consecutive angles in a parallelogram are supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees. This property follows from the fact that opposite angles in a parallelogram are congruent.
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Does a diagonal of a parralelogram divide a parallelogram into two congruent triangles?
Yes, a diagonal of a parallelogram divides it into two congruent triangles. This is because the opposite sides of a parallelogram are parallel and congruent, so the two resulting triangles formed by the diagonal are mirror images of each other and thus congruent.
Are p angles right angles from each other?
p orbitals are at right angles to each other, there are three.
What are angles that share a vertex and a side of a transversal but no interior points?
The angles that share a vertex and a side of a transversal but no interior points are called vertical angles. Vertical angles are formed when two lines intersect, and they are always congruent.
Which pair of angles are alternate interior angles?
_\_________ .a\b _c\d________ .....\ When a line crosses 2 lines, 8 angles are formed. Four are exterior angles - outside the 2 lines, and four are interior angles. These are labelled a, b, c, d in the diagram. a & d are alternate interior angles because they alternate from one side of the intersecting line to the other; b & c are also alternate interior angles. They are also known as "Z-angles" because the top parallel line, the transversal and the bottom parallel line which define the two angles for the letter Z (or a distorted version of it). If angle a = angle d (in which case angle b = angle c as well), the 2 lines drawn horizontally are parallel. If alternate interior angles are equal, the 2 lines are parallel. OR If you know the lines are parallel, then alternate interior angles must be equal. Not the greatest diagram; please ignore the ... but even a lousy diagram helps. And no, you don't use lower case letters for angles but there shouldn't be any confusion.
What are exterior angles?
Exterior angles are the angles formed when a side of a polygon is extended, and they are adjacent to the interior angle at that vertex. In a polygon with n sides, there are n exterior angles, one at each vertex. The sum of the exterior angles of any polygon is always 360 degrees.
