Line Segments in Triangles

The given line is a midsegment. What is the value of y?

• 3

• No Solution

• 5

• 2

Solve for x.

• 5

• 2

• 4

• 1

• m∠SQP=120, 
  m∠PQR=60
• m∠SQP=120, 
  m∠PQR=120
• m∠SQP=60, 
  m∠PQR=60
• m∠SQP=60, 
  m∠PQR=120

If you are given 3 line segments, how many triangles can be made?

• One unique triangle

• Multiple triangles

• No possible triangle

• Not enough information

If you are given 2 line segments, how many triangles can be made?

• One unique triangle

• Multiple triangles

• No possible triangle

• Not enough information

If you are given 2 line segments and 1 INCLUDED angle, how many triangles can be made?

• One unique triangle

• Multiple triangles

• No possible triangle

• Not enough information

If you are given 3 line segments that PASS the triangle inequality theorem, how many triangles can be made?

• One unique triangle

• Multiple triangles

• No possible triangle

• Not enough information

If you are given 3 line segments that FAIL the triangle inequality theorem, how many triangles can be made?

• One unique triangle

• Multiple triangles

• No possible triangle

• Not enough information

Select the criteria that would determine multiple possible triangles (check all that apply).

• 3 angles that add up to 180 degrees.

• Any 2 line segments

• 3 line segments that PASS the triangle inequality theorem.

• 3 lines segments that FAIL the triangle inequality theorem.

• 2 angles and ANY line segment

Give the following line segments, how many triangles can me made?

5 ft, 9 ft and 11 ft.

• One, unique triangle.

• No possible triangle.