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2. true or false: uw is tangent to circle v. false true

Question

  1. true or false: uw is tangent to circle v.

false
true

Explanation:

Step1: Recall tangent property

A tangent to a circle is perpendicular to the radius at the point of contact. So, if UW is tangent at U, then triangle VUW should be right-angled at U.

Step2: Check Pythagorean theorem

Calculate \(5^2 + 23^2\) and \(17^2\):
\(5^2 + 23^2 = 25 + 529 = 554\)
\(17^2 = 289\)

Since \(554
eq 289\), the triangle is not right-angled at U.

Answer:

False