Look at the square below:
What types of triangles do the diagonals in the square form?
We have hundreds of course questions with personalized recommendations + Account 100% premium
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.
Is a square a trapezoid?
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.
Get unlimited access to all 18 Square for 9th Grade questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime