Option d) is correct, i.e. a rotation, then a dilation. Transformation will create a pair of similar but not congruent triangles.
Which composition of transformations will create a pair of similar, not congruent triangles?
<h3>What is congruent geometry?</h3>
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
When triangle is rotated, than position of angles will change. Aftermath the dilation of the triangle would increase the proportion of the sides, but angles remains equal, by which the triangle remain similar but not congruent.
Thus, a rotation, then a dilation transformation will create a pair of siilar but not congruent triangles.
Learn more about congruent geometry here.
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Answer:
a) The student cannot receive an A in the class.
b) The student must score 119 in the third exams to make an A. This is clearly not possible, since he cannot make 119 in a 100-points exam.
c) The student can make a B but he must score at least 84 in the third exam.
Step-by-step explanation:
To make an A, the student must score 315 (350 x 90%) in both home and the three exams.
The student who scored 35 (7 + 8 + 7 + 5 + 8) in the homework and 161 (81 + 80), getting a total of 196, is short by 119 (315 - 196) scores in making an A.
To make a B, the student must score 280 (350 x 80%) or higher but not reaching 315.
B ≥ 280 and < 315.
Since, the student had scored 196, he needs to score 84 and above to make a B in the last exam.
B= a+4 because let’s say for the first column, b8/a4 it would be 8=4+4 which is true
The question is incomplete: the table and the answer choices are missing.
This is the table:
House 1 2 3 4 5 6 7 8
<span>
Size 1025 1288 2344 988 12,985 1500 1077 2455
</span>
These are the answer choices:
<span>
A) maximum
B) mean
C) median
D) range
</span>
Answer: option C) median.
Explanation:
You have to calculate or analyze every statistics before and after.
A) Máximun.
Before correcting the error, the maximum was 12,985 (the measure of the house 5).
After correcting the error, the new maximum is 17,985 (the corrected measure of house 5). So, this changed 17,985 - 12,985 = 5,000 (square feet).
B) Mean
<span>Increase in the mean = change in the measure / number of houses = 5,000 / 8 = 625 square feet
</span><span>
</span><span>
</span><span>C) Median
</span><span>
</span><span>
</span><span>It is the measure of the central data, after they are ordered.
</span><span>
</span><span>
</span>Since, the error only modified the maximum value, the median did not change.
With the error and without the error it is the average of the two central measures: [1288 + 1500] / 2 = 1,394 square feet.
Then, this measure did not change, and this is the right answer.
D) Range:
The range is the difference between the maximum and the minimum data.
Since, the maximum data changed, the range changed.
