Answer: Tiffany can be certain the trapezoids are congruent.
Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
- <em>Rotation</em>: the figure is turned around a fixed point;
- <em>Reflection</em>: is created by fliping over the figure over a line;
- <em>Translation</em>: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
2. one angle of and one side are equal therefore bc and ce have to equal each other.
3.because angle a and angle d equal each other, angles acb and dce equal each other
4.opposite interior angles equal each other
5.triangles equal each other for all the reasons above
Point Q is the midpoint of GH
so GQ = QH
Given GQ=2x+3, and GH=5x−5 .
2x + 3 = 5x − 5
3x = 8
x = 8/3
GQ = 2(8/3) +3
GQ = 16/3 + 3
GQ = 16/3 + 9/3
GQ = 25/3
GQ = 8 1/3
Answer:
o.3434343434343434343434343... (basically 0.34 with the bar over 34 to indicate it is repeating)
