# Coordinate Geometry Question

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## Grade 10 Coordinate Geometry CCSS: HSG-GPE.B.4

- No, she made a calculation error, and the midpoints of [math]bar{AC}[/math] and [math]bar{BD}[/math] are not the same.
- No, she must show that both sets of opposite sides are parallel.
- No, her reasoning is incorrect. She must find the equations of lines [math]\stackrel{leftrightarrow}{AC}[/math] and [math]\stackrel{leftrightarrow}{BD}[/math], find their intersection point, [math]P[/math], and then see if [math]bar{AP}, bar{PC}[/math] are congruent, and then if [math]bar{BP}, bar{DP}[/math] are congruent.
- Yes, this sufficiently shows that [math]ABCD[/math] is a parallelogram.