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1.) Which is the most precise name of this figure? 1. parallelogram

  1. rhombus
  2. rectangle
  3. square

2.) Which of the following conditions or set of conditions is sufficient for a parallelogram to be a square?

  1. Diagonals are perpendicular, and diagonals are congruent.
  2. Diagonals are congruent.
  3. All sides are congruent.
  4. The length of a diagonal is equal to the length of a side.

1.) Which is the most precise name of this figure? 1. parallelogram 2. rhombus 3. rectangle 4. square 2.) Which of the following conditions or set of conditions class=

Verified Answer :

Answer:

Here are the answer to your question

1. Rhombus

2. Diagonals are congruent

Here is the answer for the rest of the quick check if anyone needs them

3. Diagonals are perpendicular and diagonals are congruent

4. 4

Answer:

1) In the given figure opposite sides are Parallel . Hence, it is a parallelogram.

2) Option (1) and (3) are correct.

Step-by-step explanation:

1)

  • Parallelogram is a two dimensional figure with opposite sides parallel and equal in length and diagonals bisect the angles.
  • Rectangle is  two dimensional figure with opposite sides equal in length and measure of each angle is 90° .
  • Square is  two dimensional figure with all sides equal in length and measure of each angle is 90°.
  • Rhombus is a two dimensional figure with all sides equal in length and sum of measure of opposite angle is 180°.

Thus, in the given figure opposite sides are Parallel . Hence, it is a parallelogram.

2)

The sufficient condition for  a parallelogram to be square is diagonals    are perpendicular and diagonals are congruent  and all the sides are congruent.

Thus, (1) and (3) are correct.

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