Geometry Review Activity Date_____________ Name___________________________
A landscape planner is working on a blueprint for a new garden park in a city. The diagram of the plan is shown below. All measures are in feet. The area allowed for use is within the shaded region. In answering the following questions, do not erase lines or points drawn that are used in arriving at your answers.
1.
A path will cut through the English garden so that it is the midsegment of the side of the garden that is parallel to the horizontal axis. Find the coordinates of the endpoints of the midsegment.
_________________ ______________
2.
Find the length of the path that cut through the English garden. ________________
3.
The planner wants to place a bench in the rose garden equidistant to its vertices. Is this possible?
If so, approximate the point. Explain or show work. _________________
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4.
A statue will be placed equidistant to the sides of the Elm Tree Stand. Approximate the coordinates of this point. ____________________
5.
A water fountain will be placed at the orthocenter of the oriental garden. Approximate the coordinates of this point. _____________________
6.
A triangular trellis will be placed at the centroid of the native plant garden. Approximate the coordinates of this point. _____________________
7.
If two of the lengths of the sides of the base of the triangular trellis are 4 feet and 3 feet, describe the possible lengths for the third side of the trellis. _________________________

Geometry Review Activity Date_____________ Name___________________________
Chapter Review Games and Activities
CHAPTER
For use after Relationships within Triangles
5
Match each word to a cell in the rectangle by writing its number in the blank. When you are finished, the sum of every row, column, and diagonal should be the same number.
1. midsegment
2. Hinge Theorem
3. centroid
4. Triangle Inequality Theorem
5. median
6. circumcenter
7. orthocenter
8. perpendicular bisectors
9. incenter concurrent at a point equidistant from the vertices of the triangle
________
The medians of a triangle are concurrent at this point.
________ relates the three sides of one triangle
________ connects the midpoints of two sides of a triangle
________
________
________ connects a vertex of a triangle to the midpoint of the opposite side equidistant from the sides of the triangle possibly outside the triangle
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The altitudes of a triangle are concurrent at this point.
________ relates the sides of two different triangles
________