Measurement and Data>Graphing Points in All Four Quadrants Using Rational Numbers(TEKS.Math.6.11)
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Texas 6th Grade Math › Measurement and Data>Graphing Points in All Four Quadrants Using Rational Numbers(TEKS.Math.6.11)
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1
Which ordered pair is 5 units from the origin using straight-line distance (Euclidean: $\sqrt{x^2+y^2}$)?
$(3, 4)$
$(-4, -2)$
$(4, 4)$
$(2, -4.5)$
Explanation
Compute $\sqrt{x^2+y^2}$: For $(3,4)$, $\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$. For $(-4,-2)$, $\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}\neq5$. For $(4,4)$, $\sqrt{16+16}=\sqrt{32}\neq5$. For $(2,-4.5)$, $\sqrt{4+20.25}=\sqrt{24.25}\neq5$.