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5 Questions

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Geometry Problem: Distances in Triangle

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Questions and Answers

What are the coordinates of point P?

(0, -1)

(2, 5)

(1, 0) (correct)

(5, 2)

What is the y-coordinate of point A?

-5 (correct)

Which equation was likely used to relate the lengths PA and PB?

$12^2 = PA + PB$

$12^2 + an^2 heta = 0$

$12^2 + an^2 heta$

$12^2 = PA^2 + PB^2$ (correct)

How is the relationship between distances PA and PB characterized?

<p>PA and PB are equal</p> Signup and view all the answers

What are the coordinates of point B?

<p>(-2, 9)</p> Signup and view all the answers

Study Notes

Geometry Problem

The problem involves finding the relationship between the distances PA and PB.
Points A and B have coordinates (2,-5) and (-2,9) respectively.
Point P has coordinates (1,0).
The notes show an equation involving $12^2$ and $\cot^2 \theta$ to determine the distances PA and PB, which seem to be equal.

Diagram

A triangle is drawn.
The vertices are labeled A, B, and P.

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Description

This quiz focuses on solving a geometry problem related to the distances PA and PB from point P to points A and B with given coordinates. You will need to apply geometric principles and coordinate geometry to determine the relationship between these distances based on the provided equations.