Bell Ringer Mrs. Rivas Nancy wrote a proof about the figure shown below. In the proof below, Nancy started with the fact that

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Presentation transcript:

Bell Ringer Mrs. Rivas Nancy wrote a proof about the figure shown below. In the proof below, Nancy started with the fact that 𝑋𝑍 is a perpendicular bisector of 𝑊𝑌 and proved that ∆𝑊𝑌𝑍 is isosceles.

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles 𝒀 𝑨𝑪 ∥ 𝒀𝒁 𝑪𝑩 ∥ 𝑿𝒀 • • 𝑨 𝑩 𝑨𝑩 ∥ 𝑿𝒁 • 𝑿 𝒁 𝑪

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles 𝟔𝟓

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles 𝟔 𝑫𝑪 =𝟔 𝟕.𝟓 𝑨𝑪 =𝟏𝟐 𝑬𝑭 =𝟔 𝑨𝑩 =𝟏𝟓

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles 𝑪𝑫 = 𝟏 𝟐 𝟐𝟔𝟒𝟎 𝑪𝑫 =𝟏𝟑𝟐𝟎 𝒇𝒕

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-1 Midsegements of Triangles

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector 𝟑𝒏−𝟏=𝟓𝒏−𝟕 −𝟐𝒏−𝟏=−𝟕 −𝟐𝒏=−𝟔 𝑸𝑹 =𝟓𝒏−𝟕 𝒏=𝟑 𝑸𝑹 =𝟓(𝟑)−𝟕 𝑸𝑹 =𝟏𝟓−𝟕 𝑸𝑹 =𝟖

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector Angle Bisector Theorem Substitute

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector 𝟔𝒙+𝟑=𝟒𝒙+𝟗 𝟐𝒙+𝟑=𝟗 𝟐𝒙=𝟔 𝑭𝑩 =𝟔𝒙+𝟑 𝒙=𝟑 𝑭𝑩 =𝟔(𝟑)+𝟑 𝑭𝑩 =𝟏𝟖+𝟑 𝑭𝑩 =𝟐𝟏

International Studies Charter School. Mrs. Rivas International Studies Charter School. Section 5-2 Perpendicular and Angle Bisector 15 18

International Studies Charter School. Mrs. Rivas International Studies Charter School. Worksheet Sections 5-1 to 5-2 Show all your work in your comp-book.