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Name: ___________________________________ # ___________ Geometry: Period _____________ Ms. Pierre Date: ______________ Tangents Part II Today’s Objective SWBAT use properties of tangents to identify tangent lines and find the lengths of missing segments. More than one line can be tangent to a circle. Example 1 # # # # and # # # # are tangent to ⨀D. Find the value of x. þ Check for Understanding Find the value of x. Assume that segments that appear to be tangent are tangent. a) b)

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Page 1: 11a.Notes-Tangents Part IIpierrephs.weebly.com/uploads/.../11a.notes-tangents... · Assume that segments that appear to be tangent are tangent. 3. 4. Independent Practice Find x

Name: ___________________________________ # ___________ Geometry: Period _____________ Ms. Pierre Date: ______________

TangentsPartII

Today’sObjectiveSWBAT use properties of tangents to identify tangent lines and find the lengths of missing segments.

More than one line can be tangent to a circle.

Example1𝐴𝐵#### and 𝐶𝐵#### are tangent to ⨀D. Find the value of x.

þ Check for UnderstandingFind the value of x. Assume that segments that appear to be tangent are tangent. a) b)

Page 2: 11a.Notes-Tangents Part IIpierrephs.weebly.com/uploads/.../11a.notes-tangents... · Assume that segments that appear to be tangent are tangent. 3. 4. Independent Practice Find x

GuidedPractice

1. Find the value of x. Assume that segments that appear to be tangent are tangent.

2. Find the value of x. Then find the perimeter. Assume that segments that appear to be tangent are tangent.

Example2A graphic designer is giving directions to create a larger version of the triangular logo shown below. If ∆ABC is circumscribed about ⨀G, find the perimeter of ∆ABC.

þ Check for Understanding

Quadrilateral RSTU is circumscribed about ⨀J. If the perimeter is 18 units find x.

Page 3: 11a.Notes-Tangents Part IIpierrephs.weebly.com/uploads/.../11a.notes-tangents... · Assume that segments that appear to be tangent are tangent. 3. 4. Independent Practice Find x

HomeWork

Determine whether 𝑋𝑌#### is tangent to the given circle. Justify your answer.

1. 2.

Find the value of x. Then find the perimeter for question 3 only. Assume that segments that appear to be tangent are tangent. 3. 4.

IndependentPractice

Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary. 1.

Find the value of x. Then find the perimeter. 2.

Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle

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