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2000 AMC 10 Problem 5

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2000 AMC 10 Problem 5AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 2 of 5 · about 2 min · position P1-10

Points $M$ and $N$ are the midpoints of sides $PA$ and $PB$ of $\triangle PAB$ . As $P$ moves along a line that is parallel to side $AB$ , how many of the four quantities listed below change?

(a) the length of the segment $MN$

(b) the perimeter of $\triangle PAB$

(d) the area of trapezoid $ABNM$

A)
$0$
B)
$1$
C)
$2$
D)
$3$
E)
$4$

2000 AMC 10 Problem 5

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