Look at the square below:
What types of triangles do the diagonals in the square form?
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Look at the square below:
What types of triangles do the diagonals in the square form?
The diagonals of the square intersect each other, so the four triangles are isosceles. Moreover, since the diagonals are perpendicular to each other, the diagonals form four right-angled triangles. Therefore, the correct answers are A+C
Answers (a) and (c) are correct.
Look at the square below:
Is a parallelogram a square?
A triangle can have multiple classifications! When square diagonals intersect, they create triangles with two equal sides (isosceles) and one 90° angle (right-angled). These properties don't conflict - they describe different features of the same triangle.
In a square, diagonals always meet at 90° angles because of the square's symmetry. This perpendicular intersection is what creates the right angles in each of the four triangles formed.
Each triangle has two sides that are equal - they're both half the length of a diagonal. Since the diagonals bisect each other, the two segments from the center to any two vertices of the square are equal lengths.
Yes! All four triangles are congruent - they have the same size and shape. Each one is both right-angled and isosceles with the same measurements.
Look carefully at the diagonal segments! From where the diagonals cross to each vertex of the square, you'll see that two sides of each triangle are equal - that's what makes them isosceles.
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