Table of Contents
- 1 In which quadrilateral are consecutive and opposite angles congruent?
- 2 In which of the following quadrilaterals are the diagonals always congruent check all that apply?
- 3 For which Quadrilaterals are all of its angles always congruent?
- 4 Which Quadrilaterals always have diagonals that bisect opposite angles?
- 5 What quadrilateral has all sides are congruent and all angles are congruent?
- 6 Which quadrilaterals have congruent opposite sides?
In which quadrilateral are consecutive and opposite angles congruent?
If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.
In which of the following quadrilaterals are the diagonals always congruent check all that apply?
Quadrilaterals
| A | B |
|---|---|
| in these quadrilaterals, the diagonals bisect each other | paralellogram, rectangle, rhombus, square |
| in these quadrilaterals, the diagonals are congruent | rectangle, square, isosceles trapezoid |
| in these quadrilaterals, each of the diagonals bisects a pair of opposite angles | rhombus, square |
For which Quadrilaterals are all of its angles always congruent?
A rectangle also has the special characteristic that all of its angles are right angles; all four of its angles are congruent. The other special case of a parallelogram is a special type of rectangle, a square. A square is one of the most basic geometric shapes.
Which of the following special Quadrilaterals always have congruent consecutive sides?
In a kite, by definition a pair of its adjacent (or consecutive) sides are congruent to each other as well as the other pair of adjacent sides. So the condition is satisfied.
Which of the following quadrilateral has the condition two consecutive angles are supplementary?
In a parallelogram, any two consecutive angles are supplementary, no matter which pair you pick.
Which Quadrilaterals always have diagonals that bisect opposite angles?
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. ‘If the diagonals of a parallelogram are perpendicular, then it is a rhombus.
What quadrilateral has all sides are congruent and all angles are congruent?
The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent.
Which quadrilaterals have congruent opposite sides?
A quadrilateral that has opposite sides that are congruent and parallel can be a parallelogram, rhombus, rectangle or square.
What quadrilateral has all sides congruent?
square
The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent.
Are consecutive angles are congruent?
Any pair of consecutive angles are supplementary. The diagonals are congruent. All sides are congruent. Opposite angles are congruent.