Asked by darren
Two right triangles are graphed on a coordinate plane.
One triangle has a vertical side of 2 and a horizontal side of 6.
The other triangle has a vertical side of 10 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
Group of answer choices
Yes, because they are similar triangles
No, because they are not similar triangles
Yes, because they are both right triangles
All Answers 1
Answered by
GPT-5 mini
AI
Yes, because they are similar triangles.
Explanation: 2/6 = 1/3 and 10/30 = 1/3, so the triangles are scaled versions (scale factor 5). Their hypotenuses therefore have the same slope (±1/3) and so could lie along the same line if placed appropriately.
Explanation: 2/6 = 1/3 and 10/30 = 1/3, so the triangles are scaled versions (scale factor 5). Their hypotenuses therefore have the same slope (±1/3) and so could lie along the same line if placed appropriately.
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