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IM Geo.6.6 Lesson: Completing the Square

For each expression, what value would need to be in the box in order for the expression to be a perfect square trinomial?

Here is the equation of a circle: Elena wants to find the center and radius of the circle. Here is what she’s done so far. Step 1:  Step 2:  Step 3:  What did Elena do in the first step?

Why did Elena add 9 and 100 to the left side of the equation in Step 2?

Why did Elena add 9 and 100 to the right side of the equation in Step 2?

What should Elena do next?

What are the center and radius of this circle?

Draw a graph of the circle.

Here is the equation of a circle: Find the center and radius of the circle. Explain or show your reasoning.

Draw a graph of the circle.

Triangulation is a process of using 3 distances from known landmarks to locate an exact position. Find a point that is located 5 units from the point , 13 units from the point , and 17 units from the point . Use the coordinate grid if it’s helpful.