# 10.2 Converse of Pythagorean Theorem

Investigation # 10.1 AGAIN!

1. CONSTRUCT a MEDIUM (not too big, but definitely not too small!) scalene right triangle in the MIDDLE of your CARDBOARD paper (hypotenuse down). If you don't have cardboard paper, then glue two of them together to get some thickness to it. Label the hypotenuse AB and the longer leg BC.
2. CONSTRUCT a square on each side of the triangle.
3. Label the square on the longer leg BCDE. Color this square yellow.
4. Label the square on the shorter leg AGFC. Color this square a light blue or green.
5. Label the square on the hypotenuse ABIH.
6. COPY THE TRIANGLE AND THE 3 SQUARES (2 of them colored) ON ANOTHER SHEET OF PAPER!
7. ON ORIGINAL CARDBOARD PAPER: Locate the center of BCDE (intersection of the 2 diagonals). Label the point O.
8. Through point O, CONSTRUCT line j perpendicular to the hypotenuse.
9. Through point O, CONSTRUCT line k parallel to the hypotenuse. Lines j and k divide BCDE into 4 parts.
10. Cut out square AGFC and the 4 parts of square BCDE. Arrange them to EXACTLY cover square ABIH on the hypotenuse.

# 10.2

• Investigation 10.2
• (1-17) all

Remember, the Ch. 9 Test is tomorrow! Practice re doing some of the HW problems for review.