I need some help trying to prove that all the angles of a rectangle are right angles.
My teacher asks us to go in depth so we have to list a ton of reasons.
So first let's have the Given
Given: Rectangle ABCD with right angle A
Reason: Given, & the it's also the definition of a rectangle.
1) Statement: Diagonal line segment AC and line segment DB
1)Reason: I constructed a diagonal line across the rectangle
2)Statement: DA || BC and AB || DC
2)Reason: Definition of parallelogram
3)Statement: AC is congruent to AC and BD is congruent to BD
4)Statement: (M) is for midpoint where the two diagonals meet. So
Triangle DMA is congruent to Triangle MCB
and here I am lost. I'm not sure if my statements and reasons are correct and in order. I will appreciate the help. Thank you, forum.