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Answer:
They are not congruent; they are similar.
Step-by-step explanation:
If you analyze the coordinates, you can see that Triangle PQR has been dilated by 1/4 to become Triangle P'Q'R'. Because the triangle has been dilated but not transformed in any other way, you can say that the triangles are similar, but not congruent.
To be congruent, the triangles would have to have the same sizes and the same lengths (you may refer to the diagram below for a visual reference). To be similar, the triangles would have to have the same angles, but with different side lengths. With the dilation, the side lengths have changed, but the angles have not changed.
Hope this helps!
The equation gives the equivalence of the distance travelled by Lucy
and the number of laps.
Correct response:
- <u>A possible equation for the distance Lucy runs is; 4 × 35 miles = 140 miles</u>
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<h3>Methods by which the equation is obtained</h3>
Given:
The distance of one lap round the lake = 35 miles
Number of laps Lucy runs = 4 laps
Therefore;
Distance Lucy runs = 4 × 35 miles = 140 miles
A possible equation for the distance Lucy runs is therefore;
- Equation for the distance Lucy runs = n × 35 = 34·n
Where;
n = Number of laps
When n = 4, we have;
- Distance Lucy runs = 4 × 35 miles = <u>140 miles</u>
Learn more about writing equations here:
brainly.com/question/19044068