mrs. rivas
DESCRIPTION
Mrs. Rivas. Name the triangle sides that are parallel to the given side. 1. 2. 3. 4 . 5 . 6. Mrs. Rivas. Points M, N, and P are the midpoints of the sides of ∆ QRS. QR = 30, RS = 30, and SQ = 18. 7. Find MN 8 . Find MQ. 9. Find MP 10 . Find PS. - PowerPoint PPT PresentationTRANSCRIPT
Homework Mrs. Rivas
Name the triangle sides that are parallel to the given side.
1. 2.
3. 4.
5. 6.
𝒁𝒀 𝑿𝒀
𝒁𝑿 𝑨𝑪
𝑩𝑪 𝑨𝑩
Homework Mrs. Rivas
Points M, N, and P are the midpoints of the sides of ∆QRS. QR = 30, RS = 30, and SQ = 18.
7. Find MN 8. Find MQ
9. Find MP 10. Find PS
11. Find PN 12. Find RN
𝟗 𝟏𝟓
𝟏𝟓 𝟗
𝟏𝟓 𝟏𝟓
Homework Mrs. Rivas
Algebra Find the value of x.
13.𝒙+𝟗=𝟐(𝟐 𝒙)𝒙+𝟗=𝟒 𝒙
𝟗=𝟑 𝒙𝟑=𝒙
Homework Mrs. Rivas
Algebra Find the value of x.
14.𝟐 (𝟐 𝒙 )=𝟏𝟎𝒙−𝟐𝟏
𝟒 𝒙=𝟏𝟎𝒙 −𝟐𝟏−𝟔 𝒙=−𝟐𝟏𝒙=𝟑 .𝟓
Homework Mrs. Rivas
Algebra Find the value of x.
15.𝟒 𝒙+𝟐𝟎=𝟐(𝟑 𝒙)𝟒 𝒙+𝟐𝟎=𝟔 𝒙
𝟐𝟎=𝟐 𝒙𝟏𝟎=𝒙
Homework Mrs. Rivas
Use the diagram at the right for Exercises 16 and 17.
16. Which segment is shorter for kayaking across the lake, or ? Explain.
is shorter because is half of 5 mi, while is half of 6 mi.
Homework Mrs. Rivas
Use the diagram at the right for Exercises 16 and 17.
17. Which distance is shorter, kayaking from to to , or walking from to to ? Explain.
Neither; the distance is the same because ≅ and ≅ .
Homework Mrs. Rivas
Use the figure at the right for Exercises 18–21.
18. What is the relationship between and ?
is the perpendicular bisector of
Homework Mrs. Rivas
Use the figure at the right for Exercises 18–21.
19. What is the value of x?
𝟑 𝒙+𝟐𝟎=𝟓𝒙𝟐𝟎=𝟐 𝒙𝟏𝟎=𝒙
Homework Mrs. Rivas
Use the figure at the right for Exercises 18–21.
20. Find LM. 𝟏𝟎=𝒙𝑳𝑵=𝟑 𝒙+𝟐𝟎𝑳𝑵=𝟑(𝟏𝟎)+𝟐𝟎
𝑳𝑵=𝟑𝟎+𝟐𝟎𝑳𝑵=𝟓𝟎
Homework Mrs. Rivas
Use the figure at the right for Exercises 18–21.
21. Find LO. 𝟏𝟎=𝒙𝑳𝑶=𝟓 𝒙𝑳𝑶=𝟓(𝟏𝟎)
𝑳𝑶=𝟓𝟎
Homework Mrs. Rivas
Use the figure at the right for Exercises 22–26.
22. According to the figure, how far is A from ? From ?
From A to
From A to
Homework Mrs. Rivas
Use the figure at the right for Exercises 22–26.
23. How is related to DCB? Explain.
bisects ; Converse of Angle Bisector. Theorem.
Homework Mrs. Rivas
Use the figure at the right for Exercises 22–26.
24. Find the value of x.
𝟐 𝒙=𝟑 𝒙−𝟐𝟗−𝒙=−𝟐𝟗𝒙=𝟐𝟗
Homework Mrs. Rivas
Use the figure at the right for Exercises 22–26.
25. Find mACD and mACB.
𝒎𝑨𝑪𝑫=𝟐 𝒙𝒙=𝟐𝟗
𝒎𝑨𝑪𝑫=𝟐(𝟐𝟗)
𝒎𝑨𝑪𝑫=𝟓𝟖
𝒎𝑨𝑪𝑩=𝟑𝒙 −𝟐𝟗
𝒎𝑨𝑪𝑩=𝟑 (𝟐𝟗 )−𝟐𝟗
𝒎𝑨𝑪𝑩=𝟓𝟖
Homework Mrs. Rivas
Use the figure at the right for Exercises 22–26.
26. Find mDAC and mBAC.
𝟓𝟖+𝟗𝟎+𝒎𝑫𝑨𝑪=𝟏𝟖𝟎𝒎𝑫𝑨𝑪=𝟑𝟐
𝟓𝟖+𝟗𝟎+𝒎𝑩𝑨𝑪=𝟏𝟖𝟎𝒎𝑩𝑨𝑪=𝟑𝟐
Homework Mrs. Rivas
Algebra Find the indicated values of the variables and measures.
27. m, LO, NO
𝟐𝒎=𝒎+𝟕𝒎=𝟕
𝑳𝑶=𝒎+𝟕𝑳𝑶=𝟕+𝟕𝑳𝑶=𝟏𝟒
𝑵𝑶=𝟐𝒎𝑵𝑶=𝟐 (𝟕)𝑵𝑶=𝟏𝟒
Homework Mrs. Rivas
Algebra Find the indicated values of the variables and measures.
28. ,
𝟑 𝒙=𝟓 𝒙−𝟑𝟎−𝟐 𝒙=−𝟑𝟎𝒙=𝟏𝟓
𝒎𝑸𝑻𝑺=𝟑 𝒙+𝟓 𝒙−𝟑𝟎𝒎𝑸𝑻𝑺=𝟑(𝟏𝟓)+𝟓 (𝟏𝟓)−𝟑𝟎𝒎𝑸𝑻𝑺=𝟒𝟓+𝟕𝟓−𝟑𝟎𝒎𝑸𝑻𝑺=𝟗𝟎
Homework Mrs. Rivas
Algebra Find the indicated values of the variables and measures.
29. p, IJ, KJ𝟒𝒑+𝟑=𝟑𝒑+𝟔𝒑+𝟑=𝟔
𝒑=𝟑
𝑰𝑱=𝟒𝒑+𝟑𝑰𝑱=𝟒(𝟑)+𝟑
𝑰𝑱=𝟏𝟐+𝟑𝑰𝑱=𝟏𝟓
𝑲𝑱=𝟑𝒑+𝟔𝑲𝑱=𝟑(𝟑)+𝟔
𝑲𝑱=𝟗+𝟔𝑲𝑱=𝟏𝟓
Homework Mrs. Rivas
30. Writing Determine whether A must be on the bisector of LMN. Explain.
a. b.
Yes; , so is a bisector of .
Yes; is equidistant from both rays of the angle, so lies on the bisector.