Table of Contents
What Quadrilaterals are always congruent?
Quadrilaterals
| A | B |
|---|---|
| these quadrilaterals always have all four congruent sides | rhombus, square |
| these quadrilaterals always have all four right angles | rectangle, square |
| these quadrilaterals always have perpendicular diagonals | rhombus, square |
What Quadrilaterals have consecutive sides congruent?
Kite: A quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can’t be used in both pairs) Parallelogram: A quadrilateral that has two pairs of parallel sides. Rhombus: A quadrilateral with four congruent sides; a rhombus is both a kite and a parallelogram.
Are consecutive angles in a parallelogram always congruent?
Problem 1: The opposite sides of a parallelogram are both parallel and congruent. The opposite angles of a parallelogram are congruent. The consecutive angles of a parallelogram are never complementary. A square is always a rhombus.
Why are opposite angles always congruent?
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. Adjacent angles share a common ray and do not overlap.
Are all four angles always congruent?
These are the rules for a square. a) All four sides are always congruent (equal). A square is also a rhombus but the reverse is not always true.
Are Consecutive angles supplementary?
Any pair of consecutive angles are supplementary . All angles are right angles. Opposite angles are congruent. Any pair of consecutive angles are supplementary.
Are consecutive angles of a rhombus always congruent?
The four angles of a rhombus are right angles. Consecutive sides of a rhombus are congruent. The diagonals of a quadrilateral bisect each other. If the measure of two angles of a quad are equal, then the quad is a parallelogram.
Are the consecutive angles of a trapezoid always congruent?
Because of the parallel sides, consecutive angles are same-side interior angles and are thus supplementary. (All the special quadrilaterals except the kite, by the way, contain consecutive supplementary angles.) Reason for statement 1: Given. Reason for statement 2: The legs of an isosceles trapezoid are congruent.
What are opposite angles equal to?
Opposite sides are parallel. Opposite angles are equal (angles “a” are the same, and angles “b” are the same) Angles “a” and “b” add up to 180°, so they are supplementary angles.
Are all rectangles squares?
All squares are rectangles. A rectangle has four right angles. However, not all rectangles are squares. A square does have four right angles, but the sides must also have the same measurement. So, only some rectangles are squares.
What is an opposite angle?
Definition Opposite Angles are angles directly opposite to each other when two lines intersect in a plane. Opposite angles are also called Vertical Angles.