Math Problem Solver

Solving a Problem Using the Middle Theorem

➤ Activity 12: Go for It!

In ∆MCG, A and I are the midpoints of MG and GC, respectively. Consider each given information

and answer the questions that follow.

1. Given: AI = 10.5

Questions:

• What is MC?

• How did you solve for MC?

2. Given: CG = 32

Questions:

• What is GI?

• How did you solve for GI?

3. Given: AG = 7 and CI = 8

Questions:

• What is MG + GC?

• How did you solve for the sum?

4. Given: AI = 3x – 2 and MC = 9x – 13

Questions:

• What is the value of x?

• How did you solve for x?

• What is the sum of AI + MC? Why?

5. Given: MG ≅ CG, AG – 2y – 1, IC = y + 5

Questions:

• What is the value of y?

• How did you solve for y?

• How long are MG and CG? Why?