Yes
Chat with our AI personalities
Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
When you draw a diagonal in a rectangle or a parallelogram, it divides the shape into two congruent triangles, meaning both triangles are the same size and shape. In contrast, drawing a diagonal in a trapezoid results in two triangles that can differ in size and shape, as the bases of the trapezoid are unequal. Thus, different size and shape triangles form only in the trapezoid.
Since a diagonal divides a rectangle into two triangles, this is actually a problem in trigonometery. Since a rectangle has right angles, the resulting triangles also have right angles, therefore you can apply the Pythagorean Theorem. Or, just take your ruler and measure the diagonal. That's the direct approach.
A square is a quadrilateral with four equal sides and four right angles (90 degrees). It has two pairs of parallel sides and is a specific type of rectangle and rhombus. The diagonals of a square are equal in length, bisect each other at right angles, and each diagonal divides the square into two congruent triangles. Additionally, the area of a square can be calculated by squaring the length of one of its sides (Area = side²).