# Worksheet: Equality of the Areas of Two Triangles

In this worksheet, we will practice identifying triangles that have the same area when their bases are equal in length and the vertices opposite to these bases are on a parallel line to them.

Q1:

Which of the following has the same area as ? • A
• B
• C
• D
• E

Q2:

Which triangle has the same area as ? • A
• B
• C
• D
• E

Q3:

Points , , and are collinear. If the areas of and are the same, which of the following must be true? • A
• B
• C
• D

Q4:

If the area of and , find the area of . Q5:

Which triangle has the same area as ? • A
• B
• C
• D
• E

Q6:

If the areas of and are the same, which of the following must be true? • A
• B
• C
• D
• E

Q7:

Which triangle has the same area as ? • A
• B
• C
• D
• E

Q8:

Which triangle has the same area as ? • A
• B
• C
• D
• E

Q9:

Which of the following has the same area as ? • A
• B
• C
• D
• E

Q10:

Given that the area of and , find the area of . Q11:

Given that , which of the following has the same area as ? • A
• B
• C
• D
• E

Q12:

Which of the following has the same area as ? • A
• B
• C
• D
• E