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2 years ago

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

Mathematics

2 answers:

BlackZzzverrR [31]2 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]2 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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<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

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For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E ( 5, -4)

F ( 2, -1)

The slope for BC

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Substitute the values for both B and C coordinates, we have

Slope = $\frac{2- 5}{1 - 4}$

Find the difference for both the numerator and denominator

Slope = $\frac{-3}{-3}$

Slope = 1

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y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

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1 year ago

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Answer:

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Step-by-step explanation:

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Answer:

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2 years ago

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3 years ago

5. Identify the type and subtype of each of the fol-

r-ruslan [8.4K]

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

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Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

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Shawn = 15 marbles

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K = 15 - 7

K = 8 marbles

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Shauntay = ?

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2 years ago

Read 2 more answers