Describe a transformation that could be used to show that alternate interior angles are congruent.
1 answer:
Answer:
Step-by-step explanation:
From the picture attached,
Let 'l' be the original line having one angle ∠BAC.
If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.
Since, measure of angles are preserved in the translation,
m∠BDE = m∠BAC [corresponding angles]
Since, ∠BDE ≅ ∠MDA [Vertical angles]
Therefore, m∠MDA = m∠BAC
Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.
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-2m = 16m - 9
First, take '16m' from both sides.
Second, add '-2m - 16m' to get '-18m'.
Third, divide both sides by '-18'.
Fourth, change the fraction into a negative.
Fifth, find the GCF of 9 and 18.
The GCF is 9.
Sixth, divide the numerator by the GCF.
÷ 
Seventh, divide the denominator by the GCF.
÷ 
Eighth, rewrite the fraction in simplest form.
Answer as fraction:
Answer as decimal:
First, take '16m' from both sides.
Second, add '-2m - 16m' to get '-18m'.
Third, divide both sides by '-18'.
Fourth, change the fraction into a negative.
Fifth, find the GCF of 9 and 18.
The GCF is 9.
Sixth, divide the numerator by the GCF.
Seventh, divide the denominator by the GCF.
Eighth, rewrite the fraction in simplest form.
Answer as fraction:
Answer as decimal: