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Answer :
Final answer:
The true statements about a square are: the diagonals are congruent to each other, the diagonals are perpendicular, and the diagonals bisect the vertex angles.
Explanation:
The correct statements about a square related to its diagonals are:
- The diagonals are congruent to each other.
- The diagonals are perpendicular.
- The diagonals bisect the vertex angles.
In a square, all four sides are equal in length. The diagonals not only are equal in length but also bisect each other at a 90-degree angle, meaning they are perpendicular. Furthermore, by bisecting each other at a 90-degree angle, the diagonals also bisect the four 90-degree vertex angles of the square, creating eight 45-degree angles.
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Rewritten by : Jeany
Answer:
The true statements are
The diagonals are congruent to each other.
The diagonals are perpendicular.
The diagonals bisect the vertex angles.
Step-by-step explanation:
For the SQUARE given below we have
The diagonals AC and DB are congruent to each other.
The diagonals are perpendicular.
m∠ AOB ,m∠AOD,m∠COD and m∠BOC are each 90°
The diagonals bisect the vertex angles.
m∠DAC and m∠BAC are each 45° for vertex A
Similarly for vertices B,C and D
