Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work:
2 answers:
Answer:
Ella’s procedure and conclusion are incorrect.
Step-by-step explanation:
The sum of the squares of the short sides can be compared to the square of the long side to see if the triangle is acute, right, or obtuse. The appropriate conclusions are ...
- a² +b² > c² -- acute triangle
- a² +b² = c² -- right triangle
- a² +b² < c² -- obtuse triangle
For Ella's side lengths, the appropriate "work" is ...
10² +11² ?? 15²
100 +121 < 225
The triangle is obtuse.
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Ella used an incorrect comparison and came to the wrong conclusion. Both her procedure and conclusion are incorrect.
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Answer:
Step-by-step explanation:
we know that
The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor
step 1
Find the length of segment BC
the formula to calculate the distance between two points is equal to
we have the points
B(1,-3),C(-3,-3)
substitute the values
The segment B''C'' is equal to the segment BC multiplied by the scale factor
The scale factor is 3
so
substitute