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.
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)
OK, all correct. Your note on the trapizoid makes it correct, I am not certain if the instructor wants a condional answer.
that is not what i am looking for
Your choices for the properties of each shape are generally correct.
For the Parallelogram, the properties you selected are correct:
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, the properties you selected are correct:
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, the properties you selected are correct:
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, the properties you selected are correct:
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
For the Trapezoid, the property you selected is correct, but only if it is isosceles:
5-Diagonals are congruent
Overall, your choices are accurate. However, keep in mind that some properties may only apply to specific shapes, so it's important to carefully read the definitions and requirements for each shape to make sure all chosen properties are correct.
Based on the properties you have selected, here is a breakdown of the corrections you need to make for each shape:
Parallelogram:
- All of your chosen properties (1, 2, 3, 8, 9) are correct. Good job!
Rectangle:
- Your choices 3 (diagonals bisect each other) and 8 (diagonals bisect the angles) are not applicable to rectangles. Rectangles do not necessarily have diagonals that bisect each other or angles.
- Other than that, your choices (1, 2, 5, 7, 9) are correct.
Rhombus:
- Your choice 4 (diagonals are perpendicular to each other) is incorrect. Not all rhombuses have perpendicular diagonals.
- Apart from that, your choices (1, 2, 6, 8) are correct.
Square:
- All of your chosen properties (1, 2, 3, 4, 5, 6, 7) are correct. Well done!
Trapezoid:
- Your choice 5 (diagonals are congruent) is only correct if the trapezoid is isosceles. If your trapezoid is not isosceles, then diagonals in a trapezoid are not guaranteed to be congruent.
- Please make a note of this condition to ensure accuracy in your response.
Make sure to review the definitions and properties of each shape, and check which properties are guaranteed for each shape. Good luck with your chart!