QUESTION IMAGE
Question
use the quadrilaterals you drew on your pieces of patty paper and the observations you made to complete the table.
- identify the properties that are always true for the given quadrilateral by placing an x in the appropriate box.
lesson 2: the quad squad
Step1: Analyze each quadrilateral's properties
- Parallelogram:
- Opposite sides are parallel (a).
- Opposite sides are congruent (c).
- Opposite angles are congruent (g).
- Diagonals bisect each other (j).
- Rectangle:
- Opposite sides are parallel (a).
- Opposite sides are congruent (c).
- All angles are right angles (i).
- Diagonals bisect each other (j).
- Diagonals are congruent (l).
- Rhombus:
- Opposite sides are parallel (a).
- All sides are congruent (e).
- Opposite angles are congruent (g).
- Diagonals bisect each other (j).
- Diagonals are perpendicular (k).
- Square:
- Opposite sides are parallel (a).
- All sides are congruent (e).
- All angles are right angles (i).
- Diagonals bisect each other (j).
- Diagonals are perpendicular (k).
- Diagonals are congruent (l).
- Isosceles Trapezoid:
- Only one pair of opposite sides is parallel (b).
- Only one pair of opposite sides is congruent (d).
- At least one pair of opposite angles is congruent (h).
- Diagonals are congruent (l).
- Kite:
- 2 pairs of consecutive sides are congruent (f).
- At least one pair of opposite angles is congruent (h).
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
| Property | Parallelogram | Rectangle | Rhombus | Square | Isosceles Trapezoid | Kite |
|---|---|---|---|---|---|---|
| b. Only one pair of opposite sides is parallel. | X | |||||
| c. Opposite sides are congruent. | X | X | ||||
| d. Only one pair of opposite sides is congruent | X | |||||
| e. All sides are congruent. | X | X | ||||
| f. 2 pairs of consecutive sides are congruent. | X | |||||
| g. Opposite angles are congruent. | X | X | X | X | ||
| h. At least one pair of opposite angles is congruent. | X | X | ||||
| i. All angles are right angles. | X | X | ||||
| j. Diagonals bisect each other. | X | X | X | X | ||
| k. Diagonals are perpendicular. | X | X | ||||
| l. Diagonals are congruent. | X | X | X |