Geometry Flashcards: Dilations Keep Lines Parallel

Study Dilations Keep Lines Parallel in Geometry with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Find the image of y=−3x+9y=-3x+9 under dilation centered at O=(0,0)O=(0,0) with scale factor k=2k=2.

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ANSWER

y=−3x+18y=-3x+18. The yy-intercept becomes k⋅9=2⋅9=18k \cdot 9 = 2 \cdot 9 = 18.

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What this deck covers

This deck focuses on Dilations Keep Lines Parallel, giving you a quick way to review the definitions, rules, and examples that matter most for Geometry.

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Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 9Practice questions for this set
In a coordinate plane, line ℓ1\ell_1 passes through points (1,4)(1, 4) and (5,8)(5, 8), while line ℓ2\ell_2 passes through points (2,3)(2, 3) and (6,7)(6, 7). A dilation with center (0,0)(0, 0) and scale factor 22 is applied to both lines. Which statement about the images ℓ1′\ell_1' and ℓ2′\ell_2' is correct?
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