Question
If
is dilated by a scale factor of 0.5 , which of the following statements
is not true?
A. The sides of
are congruent to the sides of
.
B.
is similar to
.
C. The angles of
are congruent to the angles of
.
D.
is smaller than
.
is not true?
A. The sides of
B.
C. The angles of
D.
Ask by Boyd Joseph. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The statement that is not true is:
A. The sides of are congruent to the sides of
.
A. The sides of
Solution

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Bonus Knowledge
The statement that is not true is A. When a triangle is dilated by a scale factor, its sides do not remain congruent; instead, they are reduced in size according to the scale factor. So in this case, the sides of
will be half the length of the corresponding sides of
.
On the bright side, statements B, C, and D are indeed true! The triangles are similar, maintaining their shape but altering their size. The angles remain congruent, and
will indeed be smaller than
since you’re scaling down by 50%! It’s a fun way to explore the relationship between shapes in geometry.