chapter 5.1 bisectors of triangles. concept use the perpendicular bisector theorems a. find bc....
TRANSCRIPT
![Page 1: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/1.jpg)
Chapter 5.1Bisectors of Triangles
![Page 2: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/2.jpg)
Concept
![Page 3: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/3.jpg)
Use the Perpendicular Bisector Theorems
A. Find BC.
Answer: 8.5
BC = AC Perpendicular Bisector Theorem
BC = 8.5 Substitution
![Page 4: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/4.jpg)
Use the Perpendicular Bisector Theorems
B. Find XY.
Answer: 6
![Page 5: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/5.jpg)
Use the Perpendicular Bisector Theorems
C. Find PQ.
Answer: 7
![Page 6: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/6.jpg)
A. 4.6
B. 9.2
C. 18.4
D. 36.8
A. Find NO.
![Page 7: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/7.jpg)
A. 2
B. 4
C. 8
D. 16
B. Find TU.
![Page 8: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/8.jpg)
A. 8
B. 12
C. 16
D. 20
C. Find EH.
![Page 9: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/9.jpg)
Concept
![Page 10: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/10.jpg)
Concept
![Page 11: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/11.jpg)
Use the Angle Bisector Theorems
A. Find DB.
Answer: DB = 5
DB = DC Angle Bisector Theorem
DB = 5 Substitution
![Page 12: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/12.jpg)
Use the Angle Bisector Theorems
B. Find mWYZ.
![Page 13: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/13.jpg)
Use the Angle Bisector Theorems
C. Find QS.
Answer: So, QS = 4(3) – 1 or 11.
![Page 14: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/14.jpg)
A. 22
B. 5.5
C. 11
D. 2.25
A. Find the measure of SR.
![Page 15: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/15.jpg)
A. 28
B. 30
C. 15
D. 30
B. Find the measure of HFI.
![Page 16: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/16.jpg)
A. 7
B. 14
C. 19
D. 25
C. Find the measure of UV.
![Page 17: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/17.jpg)
Concept
![Page 18: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/18.jpg)
Use the Incenter Theorem
A. Find ST if S is the incenter of ΔMNP.
By the Incenter Theorem, since S is equidistant from the sides of ΔMNP, ST = SU.
Find ST by using the Pythagorean Theorem.
![Page 19: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/19.jpg)
Use the Incenter Theorem
B. Find mSPU if S is the incenter of ΔMNP.
![Page 20: Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=](https://reader037.vdocument.in/reader037/viewer/2022102615/5697c0151a28abf838cce09e/html5/thumbnails/20.jpg)
A. 12
B. 144
C. 8
D. 65
A. Find the measure of GF if D is the incenter of ΔACF.