Answer:
1
Step-by-step explanation:
(x - h)^2 + (y -k)^2 = r^2
(h,k) is the center and r is the radius.
(x + 2)^2 + (y + 8)^2 = 16
It could possible be either 21 or 23
The figure/drawing isn't needed to answer this question.
The question tells us ABCD ~ WXYZ, which means trapezoid ABCD is similar to WXYZ.
Point A corresponds to point W, B corresponds with X, C corresponds with Y, and D corresponds with Z (first, second, third, and last letters correspond with each other according to the similarity statement).
Now let's check each answer choice and see which applies to these similar trapezoids:
- Since point B corresponds with point X and the trapezoids are similar, they must be congruent angles. Thus, the first choice is correct.
- Point Y does not correspond with point A. Thus, it is possible the angles are not congruent. The second choice is incorrect.
- Point A corresponds with W and B corresponds with X. Thus, line segment AB will be similar to line segment WX. However, they are not equal. Thus, the third choice is incorrect.
- There's an equal sign in this choice, too, just like the last, and the two segments are corresponding line segments. Thus, the fourth choice is incorrect.
- This looks like the third choice, but with a similarity symbol instead of an equal sign. Now, the statement is true and the fifth choice is correct.
- This looks like the fourth choice but with a similarity instead of an equal sign. Now, the statement is true and the sixth choice is correct.
Let me know if you need any clarifications, thanks!
