Geometry Flashcards: Proving Theorems With Coordinate Geometry

Study Proving Theorems With Coordinate Geometry in Geometry with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Identify whether $(2,1)$ lies on the circle $x^2+y^2=4$ .

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ANSWER

No, since $2^2+1^2=5\neq^4$ . Substitution: $4 + 1 = 5 \neq 4$ .

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What this deck covers

This deck focuses on Proving Theorems With Coordinate Geometry, giving you a quick way to review the definitions, rules, and examples that matter most for Geometry.

How to use these flashcards

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 29Practice questions for this set

Points

A(0, 0)

B(a, 0)

, and

C(b, c)

form a triangle where

a > 0

and

c ≠ 0

. The midpoint of

\overline{AC}

M

and the midpoint of

\overline{BC}

N

. Which coordinate geometry theorem is illustrated by proving that

\overline{MN} \parallel \overline{AB}

and

|MN| = \frac{1}{2}|AB|

Choose an answer

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