Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.
This also means that the angle P' (the one inside the quadrilateral) is equal to:
Now, if we extend the sides DP and CB we notice that the angles P' and Q
are equal
The only way that this angles can be equal is if the line segments DP and CB are parallel, this comes from the fact that two alternate interior angles are equal if and only if the lines are parallel.
For this case we must indicate an expression equivalent to:
By definition we have that the distributive property establishes that:
Then, applying the property to the given expression we have:
Thus, an equivalent expression is:
ANswer:
Answer:
From 4-5 the shape is rotated 180 degrees.
Step-by-step explanation:
If you are standing up and you jump to face the other way your turning 180 degrees. If you turn to your side that would be 90 degrees and for a full turn 360 degrees.
Hope this helps, please leave any questions or concerns in the comments. Thanks
