Conditions for Rhombuses, Rectangles, and Squares Practice
1.(Statement 2 only)
2.(It is a rhombus)
3.(x=12)
4.(x=1)
5.(She can measure the opposite sides. If they are congruent, then the bookshelf is in the shape of a parallelogram. Then she can measure the diagonals. If they are congruent, then the bookshelf is rectangular.)
6.(square)
7.(x=11)
8.(x=7)
9.(opposite sides of a parallelogram are congruent)
10.(x=10)
Have a good day :)
To determine the conditions for rhombuses, rectangles, and squares in the given practice, let's analyze each statement:
1. (Statement 2 only):
This statement implies that only statement 2 is true. Without the actual statement 2 mentioned, it is difficult to determine the condition.
2. (It is a rhombus):
If an object is a rhombus, then it must satisfy the condition that all four sides are congruent.
3. (x = 12):
This statement suggests that the value of "x" is equal to 12. However, it does not provide any specific conditions for rhombuses, rectangles, or squares.
4. (x = 1):
Similar to statement 3, this statement suggests that the value of "x" is equal to 1, but it does not provide any specific conditions for the desired shapes.
5. (She can measure the opposite sides. If they are congruent, then the bookshelf is in the shape of a parallelogram. Then she can measure the diagonals. If they are congruent, then the bookshelf is rectangular.):
This statement outlines a process where the person can determine if a bookshelf is rectangular. First, they should measure the opposite sides of the bookshelf. If those sides are congruent, it signifies that the bookshelf is in the shape of a parallelogram. Then, the person can proceed to measure the diagonals. If the diagonals are congruent, it indicates that the bookshelf is rectangular. However, this does not cover all possible conditions for squares, rhombuses, or squares.
6. (square):
If an object is a square, it must satisfy the condition that all four sides are congruent, and all angles are right angles.
7. (x = 11):
Similar to statements 3 and 4, this statement provides the value of "x," but it does not offer any specific conditions for the desired shapes.
8. (x = 7):
Again, this statement provides only the value of "x" without specifying any conditions for rhombuses, rectangles, or squares.
9. (opposite sides of a parallelogram are congruent):
This statement correctly states one of the conditions for a parallelogram, which is that its opposite sides are congruent. However, it does not provide specific conditions for rhombuses, rectangles, or squares.
10. (x = 10):
Like statements 3, 4, 7, and 8, this statement gives the value of "x" but does not supply any specific conditions for the desired shapes.
In conclusion, only statements 2 and 9 provide conditions related to rhombuses, rectangles, or squares.