100k views
1 vote
Andre knows that the distance between Grayson to Apex is the same as the distance from Redding to Pine Bluff. Prove that the distance from Grayson to Redding is equal to the distance from Apex to Pine Bluff."

User Zmeda
by
7.8k points

1 Answer

4 votes

Final answer:

To prove that the distance from Grayson to Redding is equal to the distance from Apex to Pine Bluff, we can use the concept of transitive property of equality.

Step-by-step explanation:

To prove that the distance from Grayson to Redding is equal to the distance from Apex to Pine Bluff, we can use the concept of transitive property of equality.

Given that the distance between Grayson and Apex is equal to the distance between Redding and Pine Bluff, we can represent it as:

Grayson to Apex = Redding to Pine Bluff

Now, if we add the distances from Grayson to Redding and Apex to Pine Bluff, we get:

Grayson to Redding + Apex to Pine Bluff = Grayson to Apex + Redding to Pine Bluff

Since the distances between Grayson and Apex and Redding and Pine Bluff are equal, the equation becomes:

Grayson to Redding + Apex to Pine Bluff = Grayson to Apex + Redding to Pine Bluff = Redding to Pine Bluff + Grayson to Redding

Hence, the distance from Grayson to Redding is equal to the distance from Apex to Pine Bluff.

User JD Hernandez
by
7.5k points