Dividing Line Segment into Equal Parts
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What is the length of the line segment joining the mid points of the diagonals of a trapezium that is parallel to each of the parallel sides having lengths 12 cm and 4 cm.
2 cm
4 cm
6 cm
3 cm
In the figure below, two vertices of a parallelogram are joined to the mid points of two sides.
Then, the lines divide the diagonal in the picture into 3 equal parts.
False
True
- 3.2
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/270298/content_2018-12-05_3.png)
- 3
![](https://search-static.byjusweb.com/question-images/byjus/ckeditor_assets/pictures/861338/original_Dia_5.12.png)
- AP×PC=(BP)2×(PD)2
- AP×PC=(BP)2×PD
- AP×PC=BPPD
- AP×PC=BP×PD
![](https://search-static.byjusweb.com/question-images/byjus/ckeditor_assets/pictures/862469/original_Picture_1.png)
- 66∘
- 40∘
- 45∘
- 95∘
- 75
- 80
- 60
- 85
- 4:5
- 2:3
- 6:5
- 4:9
![328014_6e9f338e684048229503e53d9447b194.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/328014_6e9f338e684048229503e53d9447b194.png)
- 130∘
- 140∘
- 150∘
- 160∘
In the figure, two lines intersect at O. If x = 75∘, find ∠u + ∠y.
315∘
270∘
105∘
210∘
![327976_958b284dda4446ddacd651e56258750b.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/327976_958b284dda4446ddacd651e56258750b.png)
- 30∘
- 50∘
- 70∘
- 90∘
![1715696_7486f73faf79424e99ea13f8453afea6.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1715696_7486f73faf79424e99ea13f8453afea6.png)
In the figure below, two vertices of a parallelogram are joined to the mid points of two sides.
Show that the lines divide the diagonal given into 3 equal parts.
In a triangle ABC, median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram. [2 MARKS]
- 70∘
- 60∘
- 90∘
- 180∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/434460/original_LP3.png)
- 40°
- 100°
- 80°
- 140°
- 20∘
- 45∘
- 70∘
- 65∘
![435534.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/435534.png)
- 30o
- 60o
- 90o
- 45o
In the figure below, two vertices of a parallelogram are joined to the mid points of two sides.
Show that the lines divide the diagonal given into 3 equal parts.