are angles opposite equal sides equal?
533302
From this we learn that if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is an isosceles triangle.
171995
['Opposite angles are equal.', 'Opposite sides are equal and parallel.', 'Diagonals bisect each other.', 'Sum of any two adjacent angles is 180°']
158248
Now, a sufficient condition for the alternate angles not being equal is the following partial inverse to Proposition 28: If a straight line that meets two straight lines makes the interior angles on the same side less than two right angles, then those two straight lines, if extended, will meet on that same side.
287742
Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.
1175747
A rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. ... The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
895412
Corresponding angles are equal. ... a and b are adjacent angles. Adjacent angles add up to 180 degrees.
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Opposite Angles Are Congruent The angles that are opposite of each other are also congruent. ... The angles opposite of each other will have the same measurement. It's common for a parallelogram to have two acute angles and two obtuse angles.
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Since opposite sides are equal in length, the squares on both diagonals are the same. We have already proven that a quadrilateral whose diagonals bisect each other is a parallelogram. Because ABCD is a parallelogram, its opposite sides are equal. (matching angles of congruent triangles).
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['its opposite angles are equal, or.', 'its opposite sides are equal, or.', 'one pair of opposite sides are equal and parallel, or.', 'its diagonals bisect each other.']
535272
For the quadrilateral PQRS to be a parallelogram, the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. Let's take each statement one by one. (1) Adjacent sides PQ and QR have the same length. The opposite sides may or may not be equal.
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Opposite sides of a rectangle are the same length (congruent). The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a rectangle has four right angles. Opposite angles of a rectangle are congruent.
1233801
Yes you are correct, all right angles are congruent. But let us refer to the definition of angle congruence: equality of angle measure. Therefore, congruent angles have equality of measure. Saying right angles are equal implies congruence, and saying right angles are congruent implies equality.
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The opposite sides of a parallelogram are equal (and conversely: if the opposite sides of a quadrilateral are equal, it is a parallelogram). The opposite angles of a parallelogram are equal (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram).
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The Rectangle Also opposite sides are parallel and of equal length.
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Angles opposite to equal sides of a triangle are equal. Sides opposite to equal angles of a triangle are equal. Each angle of an equilateral triangle is of 60°. If three sides of one triangle are equal to three sides of the other triangle, then the two triangles are congruent (SSS Congruence Rule).
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In the figure, angles 1 and 4 are alternate exterior angles. Angles that are on opposite sides of the transversal of two other lines. Both are internal. They are equals if the two intersected lines by the transversal are parallel.
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Two pairs of opposite angles are equal in measure. The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary.