Trapezoid efgh has coordinates e(−3, 4) , f(1, 4), g(3, 1) , and h(−5, 1) . trapezoid e'f'g'h' has coordinates e′(−12, 16) , f′(4, 16), g'(12, 4) , and h′(−20, 4) . trapezoid e'"f"g"h" has coordinates e′′(12, −16), f′′(−4, −16), g′′(−12, −4) , and h′′(20, −4) .

which transformations describe why trapezoids efgh and e'"f"g"h" are similar?

a. trapezoid efgh was translated 4 units right and 4 units up and then rotated 180° clockwise.

b. trapezoid efgh was rotated 90° clockwise and then dilated by a scale factor of 4.

c. trapezoid efgh was dilated by a scale factor of 4 and then rotated 180° counterclockwise.

d. trapezoid efgh was dilated by a scale factor of 14 and then reflected across the x-axis.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Nine people are going to share a 128-ounces bottle of soda. how many ounces will each person get drink? choose the correct equation and answer for this situation

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.