Name____________________________________________________________________________Period_________Date___________________________
Geometry Foundations
Study Guide Quiz 5-4 and 5-6
1.) List the angles of a triangle from smallest to largest.
a. The smallest angle is across from the __________________________ side.
b. The largest angle is across from the ___________________________ side.
2.) List the sides of a triangle from shortest to longest.
a. The longest side is across from the ___________________________ angle.
b. The shortest side is across from the ___________________________ angle.
3.) Decide if it is possible to have a triangle with the given side lengths.
a. The sum of the lengths of any two sides of a triangle must be ____________________________ the third side.
4.) Given two side lengths of a triangle, find the range of possible side lengths of the third side.
a. Start by letting the third side = _______.
b. Write answer as an inequality ex:_____________________
5.) Look at a diagram to decide if each segment is an altitude, median, or neither.
a. An altitude connects a vertex to the opposite side at a ____________________ angle.
b. A median connects a vertex to the _____________________ of the opposite side.
6.) Decide which point in a diagram is the centroid or orthocenter.
a. An orthocenter is the point of concurrency of the _________________________ of a triangle.
b. A centroid is the point of concurrency of the ____________________________ of a triangle.
7.) Find the segment lengths inside triangles using a centroid.
a. The centroid is ______________________ the distance from the vertex to the midpoint of the opposite
side.
b. The centroid is ______________________ the distance from the midpoint to its opposite vertex.
8.) Find the orthocenter of a triangle on the coordinate plane.
a. Draw the altitude from the vertex to the ______________________ or _____________________ side first.
b. Find the slope of one of the other sides.
c. Find the slope of the ___________________________________ line to that side.
d. Start at the vertex opposite that side and count the perpendicular slope.
e. Answer is an ___________________________.