AnswersSSHS Geometry Sem 1 IMA 301Using Triangle Similarity Theorems

Using Triangle Similarity Theorems Answers

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Is KM ∥ JN? Why or why not?

A
No, because .
Option A
B
Yes, because .
Option B
C
Yes, because
Option C
D
Yes, because .
Option D
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What is the length of BC?

Answers:
From the markings on the diagram, we can tell E is the midpoint of BC and is the midpoint of AC:D
We can apply the theorem: ED = BA.:triangle midsegment
Substituting in the expressions for the lengths and solving for x, we get x = .:5
Now, since BE = x, then BC = .:10
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substitution property✔ subtraction propertytransitive property

A
substitution property
B
✔ subtraction property
C
transitive property
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♣: [___]

A
angle STU is congruent to angle XYU
B
triangle STU is congruent to triangle XYU
C
triangle STU is similar to triangle XYU

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