Proving shapes with coordinates

Use slope and distance to show a quadrilateral is a parallelogram, rectangle, or rhombus.

Standards:G-GPE.B.4

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 2

Four vertices of a quadrilateral are plotted at A(0, 0), B(4, 0), C(4, 3), and D(0, 3). Prove that this quadrilateral is a rectangle by finding the length of diagonal AC.

Question 2 of 2

The vertices of quadrilateral PQRS are P(1, 2), Q(5, 2), R(6, 5), and S(2, 5). Prove that PQRS is a parallelogram by finding the length of side PQ.

How this fits in

Proving shapes with coordinates is one skill in the Coordinate Geometry unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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