Question
Write the following in 4 sentences in a 5the grader’s response
To determine if the figures are similar, we need to check if the corresponding angles
are congruent and if the corresponding sides are proportional.
First, rotate ABC clockwise about the origin. The new coordinates are
A' (-3, -4), B'(-1, -3), and C"(-2, -1) Next, translate A'B'C" by subtracting
4.5 from the x-coordinates and 5 from the y-coordinates. The new coordinates are
E' (-7.5, -9), E(-5.6, -3.2), and G (-6.5, -3.5)
Comparing the coordinates of ( triangle) EFG and ( triangle) A'B'C"
, we can see that they are
not the same. Therefore, (triangle)EFG is not
the image of (triangle) ABC.
To determine if the figures are similar, we need to check if the corresponding angles
are congruent and if the corresponding sides are proportional.
First, rotate ABC clockwise about the origin. The new coordinates are
A' (-3, -4), B'(-1, -3), and C"(-2, -1) Next, translate A'B'C" by subtracting
4.5 from the x-coordinates and 5 from the y-coordinates. The new coordinates are
E' (-7.5, -9), E(-5.6, -3.2), and G (-6.5, -3.5)
Comparing the coordinates of ( triangle) EFG and ( triangle) A'B'C"
, we can see that they are
not the same. Therefore, (triangle)EFG is not
the image of (triangle) ABC.
Answers
GPT-4o mini
To find out if two figures are similar, we need to check if their angles are the same and if their sides are in proportion. First, we rotated triangle ABC to get new points A', B', and C". Then, we moved these points by subtracting some numbers from their coordinates to get triangle EFG. After comparing the points of triangle EFG and triangle A'B'C", we saw they are different, so triangle EFG is not a similar image of triangle ABC.