Back to Prove theorems using similarity — Problem 2 · Task Set 17

Exercises: Prove Theorems Using Similarity

Show all work. For proof problems, write complete reasoning in paragraph or two-column form.

Grade 9·21 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-srt-b-4

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Warm-Up: Review What You Know

These problems review skills from previous lessons.

Line $DE$ is parallel to line $BC$ , and line $AB$ is a transversal crossing both.
Which statement correctly describes the relationship between $\angle ADE$ and $\angle ABC$ ?

$\angle ADE$ and $\angle ABC$ are supplementary.

$\angle ADE$ and $\angle ABC$ are corresponding angles, so they are equal.

$\angle ADE$ and $\angle ABC$ are alternate interior angles.

$\angle ADE$ and $\angle ABC$ have no relationship unless the lines are perpendicular.