The triangles here are each obtained by applying rigid motions to triangle 1.
1 answer:
Rigid transformation is a transformation that does not change the measure of the side lengths and the angles.
- Triangles 3, 5 and 7 are translations of triangle 1
- Triangles 2, 4 and 6 are not translations of triangle 1
From the question (see attachment), we have the following observations
- Triangles 3, 5 and 7 have the same orientation as triangle 1
- Triangles 2, 4 and 6 are reflected versions of triangle 1
Translation and reflections are both rigid transformation.
However, when a shape is translated, the <em>resulting shape </em>must have the same orientation as the original shape.
This means that:
- <em>Triangles 3, 5 and 7 are translations of triangle 1</em>
- <em>Triangles 2, 4 and 6 are not translations of triangle 1</em>
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The histogram that represents this data would be the histogram shown in the image below.
<h3>What is a Histogram?</h3>In a histogram, bars or bins show the frequency of a range of data points in a data distribution.
Given the data set, 1, 7, 4, 4, 3, 2, 7, 8, 1, 19, 20, 22, 20, 19, 16, 16, 19, 13, 1, 13, the groups and frequency for the data distribution would be:
0 - 5: 7
6 - 11: 3
12 - 17: 4
18 - 23: 6
Therefore, the histogram that represents this data would be the histogram shown in the image below.
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