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3 years ago

10

Make a conjecture about the diagram below. Do you think you can conclude that △JKL ≅ △XYZ? Explain your reasoning.

2 answers:

BlackZzzverrR [31]3 years ago

7 0

Answer:

Sample Response: Since these are right triangles, the unmarked sides can be determined to be congruent because of the Pythagorean theorem. Once the third set of congruent sides is determined, the SSS or SAS theorem can be used to prove triangle congruency.

Step-by-step explanation:

sample response

konstantin123 [22]3 years ago

6 0

Answer:

Yes, you can conclude that ΔJKL ≅ XYZ.

Step-by-step explanation:

I forget how to describe it in geometric terms but, if you read the similarity statement again, and follow each angle, you'll notice that the shapes match, and they correspond to each other, it would be different if it said something like ΔLKJ ≅ XYZ because it does not match.

If you're looking for a specific reason, we'd say that they're congruent because of SAS (Side-Angle-Side)

If this still confuses you, hit me up.

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Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

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Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

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✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

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✔️Equation 2 would be:

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✔️To solve for x, substitute y = -3x + 1 in equation 1.

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Collect like terms

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Divide both sides by -5

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Answer:

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Step-by-step explanation:

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