1. Constructions Remember, you can always look in your notebook and your textbook (index) for “how to” instructions!

2. Sally used a compass to construct a perpendicular bisector as shown below. What conjecture about the figure is always true? a) b) c) d)

3. Construct the line that is perpendicular to the given line through the given point. A B C D

4. Construct the line perpendicular to at point M. A B C D

5. Mr. Shin asked his math class to locate the center of gravity of a scalene triangle, by using a compass and straight edge and doing a geometric construction. Which special segments of the triangle should the class construct to locate the point that would be the center of gravity of the triangle? a. altitudesc. angle bisectors b. mediansd. perpendicular bisectors

6. A question on Mrs. Carpio’s math test was, “Using only a straight edge and compass, locate the incenter, the point that is equidistant from the three sides, of a given scalene triangle.” Which special segments of the triangle did Mrs. Carpio want the class to construct? a. angle bisectorsc. perpendicular bisectors b. altitudesd. medians

7. Which diagram is not a correct construction of a line parallel to given line w and passing through given point K? A B C D

8. Which of the following describes the geometric construction used to create the altitude from vertex Q in shown below? a. Construct a segment from Q to the midpoint of b. Construct a perpendicular segment from Q to c. Construct a perpendicular segment from M to d. Construct a segment from M to the midpoint of

9. The figure below shows a construction in which each of the 3 angles of a triangle has been divided into 2 angles of equal measure. a. altitudesc. medians b. angle bisectorsd. perpendicular bisectors Which of these names the lines that were constructed?

10. In geometry class, Jose and Marcos were studying geometric figures and making conjectures. They drew several different scalene triangles like the one shown below. In each triangle, they connected each vertex of the triangle to the midpoint of the opposite side. Then Jose and Marcos used a ruler to measure the lengths of the line segments. What is a reasonable conjecture that would follow from their experiment?