Question Video: Checking the Congruence between Two Straight Lines

Are lines π‘†π‘ˆ and 𝑉𝑇 congruent?

01:18

Video Transcript

Are lines π‘†π‘ˆ and 𝑉𝑇 congruent?

What do we know about congruent lines? Congruent lines have the same length. And that means we need to know if line segment π‘†π‘ˆ has the same length as line segment 𝑉𝑇. Line segment π‘†π‘ˆ has a length of eight π‘Ž plus four π‘Ž. Line segment 𝑉𝑇 has a length of six π‘Ž plus six π‘Ž.

The π‘Ž variable will stay the same. And we’ll add their coefficients together. We’ll add the numbers in front of the π‘Ž together. Here, eight plus four equals 12. And the π‘Ž stays the same. If we add the coefficients again for 𝑉𝑇, we get six plus six equals 12. And we bring down the π‘Ž. We’re seeing that line segment π‘†π‘ˆ measures 12π‘Ž. And line segment 𝑉𝑇 measures 12π‘Ž. They have the same length.

And that means yes, these lines are congruent.

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