I had to fill out a chart stating the properties of certine shapes(parallelograms). Some of them i put to many properties please tell me witch ones i have wrong. There are wrong properties listed for some shapes because My teacher said that I have some of them wrong.
The properties to select from:
1-Opposite sides are parallel (both pair)
2-Opposite sides are congruent
3-Diagonals bisect each other
4-Diagonals are perpendicular to each other
5-Diagonals are congruent
6-All sides are congruent
7-All angles are congruent
8-Diagonals bisect the angles
9-Opposite angles are congruent
For the Parallelogram I chose the following properties:
1-Opposite sides are parallel (both pair)
2-Opposite sides are congruent
3-Diagonals bisect each other
8-Diagonals bisect the angles
9-Opposite angles are congruent
For the Rectangle I chose the following properties:
1-Opposite sides are parallel (both pair)
2-Opposite sides are congruent
3-Diagonals bisect each other
5-Diagonals are congruent
7-All angles are congruent
8-Diagonals bisect the angles
9-Opposite angles are congruent
For the Rhombus I chose the following properties:
1-Opposite sides are parallel (both pair)
2-Opposite sides are congruent
4-Diagonals are perpendicular to each other
6-All sides are congruent
8-Diagonals bisect the angles
For the square I chose the following properties:
1-Opposite sides are parallel (both pair)
2-Opposite sides are congruent
3-Diagonals bisect each other
4-Diagonals are perpendicular to each other
5-Diagonals are congruent
6-All sides are congruent
7-All angles are congruent
And for the trapizoid I chose
5-Diagonals are congruent ( but ONLY IF IT IS ISOCELES)
To determine which properties you have wrong, let's review the correct properties for each shape:
Parallelogram:
1. Opposite sides are parallel (both pairs)
2. Opposite sides are congruent
3. Diagonals bisect each other
4. Diagonals are not necessarily perpendicular to each other
5. Diagonals are not necessarily congruent
6. All sides are not necessarily congruent
7. All angles are not necessarily congruent
8. Diagonals do not necessarily bisect the angles
9. Opposite angles are not necessarily congruent
Based on this, the properties you got wrong for the parallelogram are:
4. Diagonals are not necessarily perpendicular to each other
5. Diagonals are not necessarily congruent
6. All sides are not necessarily congruent
7. All angles are not necessarily congruent
8. Diagonals do not necessarily bisect the angles
9. Opposite angles are not necessarily congruent
For the Rectangle:
1. Opposite sides are parallel (both pairs)
2. Opposite sides are congruent
3. Diagonals bisect each other
4. Diagonals are not necessarily perpendicular to each other
5. Diagonals are not necessarily congruent
6. All sides are not necessarily congruent
7. All angles are congruent
8. Diagonals bisect the angles
9. Opposite angles are congruent
Based on this, the property you got wrong for the rectangle is:
7. All angles are congruent (This property is correct. It should be included.)
For the Rhombus:
1. Opposite sides are parallel (both pairs)
2. Opposite sides are congruent
3. Diagonals bisect each other
4. Diagonals are perpendicular to each other
5. Diagonals are not necessarily congruent
6. All sides are congruent
7. All angles are not necessarily congruent
8. Diagonals bisect the angles
9. Opposite angles are not necessarily congruent
Based on this, the property you got wrong for the rhombus is:
7. All angles are not necessarily congruent
For the Square:
1. Opposite sides are parallel (both pairs)
2. Opposite sides are congruent
3. Diagonals bisect each other
4. Diagonals are perpendicular to each other
5. Diagonals are congruent
6. All sides are congruent
7. All angles are congruent
8. Diagonals bisect the angles
9. Opposite angles are congruent
All the properties you selected for the square are correct.
For the Trapezoid:
1. Opposite sides are parallel (both pairs)
2. Opposite sides are not necessarily congruent
3. Diagonals bisect each other
4. Diagonals are not necessarily perpendicular to each other
5. Diagonals are not necessarily congruent
6. All sides are not necessarily congruent
7. All angles are not necessarily congruent
8. Diagonals do not necessarily bisect the angles
9. Opposite angles are not necessarily congruent
Based on this, the property you got wrong for the trapezoid is:
5. Diagonals are congruent (This property is correct, but only if the trapezoid is isosceles.)
I hope this clarifies the correct properties for each shape and helps you identify the incorrect properties you have selected.