If Two Angles Are Both Congruent and Supplementary, Then______

Remember, this is your six weeks test grade and counts for 25% of your grade. Half of your points come from neatness, don't give me sloppy work with things poorly erased and scratched out. Write in complete sentences where it applies.

1.  Given two points A and B, there is only one segment that you can name: . With three collinear points, A, B, and C, there are three different segments that you can name. With five collinear points, A, B, C, D, and E, draw all the different segments that you can make if AB = 2 cm, BC = 2.5 cm, CD = 1.5 cm, and DE = 3.5 cm. All segments should be measured with a ruler and named correctly. Your segments need to be drawn to scale. Draw each individual segment in the boxes provided and write the segment’s name in the blank provided. Put the segments in ascending order according to length. There may be more boxes than you need.

2.  If two congruent angles are supplementary, what must be true of the two angles? Make a sketch, then complete the following conjecture:

If two angles are both congruent and supplementary, then______.

3.  If DE + EF = DF, explain what must be true of point E. Draw a picture to illustrate.

4.  In the figure, BE = EC and AF = FB. FG and GE lie on grid lines of the coordinate plane.

a.  Find the coordinates of E and F.

b.  How does DG relate to GB? Explain.

5.  Simplify. Use PEMDAS.

4(3x – 2)(5x + 6) –x(x² - 3) + (x – 7)² - 2(x² - 8)² + (x² - 4)² + 6x – 9x² - x³

6.  Suppose , and Is acute, right, obtuse, or straight?

Page 3 of 3 unit 1 day 6 – performance task.doc