Definitions
Triangle Inequality
Solving for x
Classifying
100
An angle bisector.
a line, segment, or ray, that divides an angle into two EQUAL parts.
100
You can determine if three side lengths make a triangle by...
Adding the two smallest sides and seeing if the their sum is greater than the third side.
100
Solve for x.
9
100
Angle C
200
A perpendicular bisector.
a line, segment, or ray that divides a segment into two EQUAL parts and is PERPENDICULAR to the segment.
200
10, 23, 12
Does this make a triangle?
No, 22 is not greater than 23.
200
Solve for x.
19
200
List the angles from least to greatest.
Angle Q, Angle P, Angle R
300
A median.
a segment that connects a vertex and the midpoint of the opposite side.
300
5, 9, 14
Does this make a triangle?
No, the values are equal.
300
Solve for x.
10
300
BA, CA, BC
400
An altitude.
a segment that connects a vertex to the opposite side and is perpendicular to that side.
400
Find the range of possible values given,
16 and 27
11 < x < 43
400
58 degrees.
400
What can you determine about the third sides of each triangle?
The measure of FH would be greater than that of AC
500
A midsegment.
a segment that joins the midpoints of two sides.
500
12 and 29
6, 12, 17, 18, 20, 40, and 41
Which values can be a possible third side?
18, 20, 40
500
Solve for the measure of angle RST.
42 degrees.
500
What can you determine about the third sides of each triangle?
The measure of AB is greater than that of DC