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8090 [49]
3 years ago
11

Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a

straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

C. ASA

Step-by-step explanation:

The details of the given parameters are;

Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,

Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF

Side \overline{BC} of ΔABC is congruent to side \overline {EF} of triangle ΔDEF

Two angles (∠B and ∠C) and the included side (side \overline{BC}) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side \overline {EF}) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency

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For the fourth option, the mean absolute deviation, MAD, is a better measure of variability than the IQR because it takes into account all the points of the data set. While IQR measures variability with respect to the median, MAD measures variability with respect to the mean. Because we are told that the data sets are not symmetrical, the median will be a better measure of the center than the mean, thus the IQR will present a better measure of the variability of the data sets. Thus, though the MAD for Team 2 was calculated to be a larger number than the MAD for Team 1, the information can be misleading in arriving at a conclusion on which data set has more variability because the data sets are not symmetrical. Therefore, the fourth option is not the correct answer.
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