Question

I need help classifying if #'s 1 - 20 from this handout front + back if the problem(s) are congruent, supplementary, complementary, etc. Please put the numbers down that correspond to what the problem(s) could be. That would be so nice if you can do that. I don't specifically need help, unless you're willing to work an example problem from the handout then that would be nice! :D

Answer 1

@jim_thompson5910 @cwrw238 @satellite73

Answer 2

# 1

In any parallelogram, the diagonals bisect each other (ie they cut each other in half).

So because all rectangles are parallelograms, we know that

BE = (1/2)*BD

5x - 3 = (1/2)*(2x + 26)

2(5x - 3) = 2x + 26 ... Multiply both sides by 2.

10x - 6 = 2x + 26

...
...
...

x = ???

Answer 3

@jim_thompson5910 x = 4
I was wondering if any of the 20 problems are congruent and if so please give me the numbers, the same thing with complementary and supplementary

Answer 4

Well for the rectangle, angle 2 = angle 4 by the alternate interior angle theorem (since the opposite sides are parallel)

Answer 5

The same reason applies for the square ABCD and we can say angle 2 = angle 6

Answer 6

@jim_thompson5910 Like explain; what about 12 - 20