CBSE Class 9 Answered
This Question is from chapter Quadrilaterals. EXPERTS, PLEASE ANSWER THIS AS SOON AS POSSIBLE
If APB and CQD are two parallel lines then find the type of quadrilateral formed by the bisectors of the angles APQ, CPQ, QCP, and PQD.
Asked by prakash.sanyasi | 31 Oct, 2019, 23:27: PM
The question should be:
If APB and CQD are two parallel lines then find the type of quadrilateral formed by the bisectors of the angles APQ, BPQ, CQP, and PQD
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/a58f0c5e24f3589b9ff5ebaa587414535dbbb6f6e65313.53158438ATE428632.png)
![L e t space X space a n d space Y space b e space t h e space i n t e r s e c t i o n space o f space b i s e c t o r s space o f space a n g l e s space A P Q comma space C Q P space a n d space a n g l e s space B P Q comma space P Q D space r e s p e c t i v e l y
G i v e n colon space A P B space vertical line vertical line space C Q D
rightwards double arrow angle A P Q equals angle P Q D space.... space A l t e r n a t e space a n g l e s
rightwards double arrow angle X P Q equals angle P Q Y
therefore space P X space vertical line vertical line space Q Y
S I m i l a r l y comma space angle Q P Y equals angle P Q X
therefore space Q X space vertical line vertical line space P Y
therefore space P X Q Y space i s space a space p a r a l l e log r a m
C Q D space i s space a space l i n e
rightwards double arrow angle C Q P plus angle P Q D equals 180 degree
rightwards double arrow 2 angle P Q X plus 2 angle P Q Y equals 180 degree
rightwards double arrow angle P Q X plus angle P Q Y equals 90 degree
rightwards double arrow angle X Q Y equals 90 degree
therefore space angle X P Y equals 90 degree
rightwards double arrow space angle P X Q equals 90 degree space a n d space angle P Y Q equals 90 degree
H e n c e comma space P X Q Y space i s space a space r e c tan g l e.](https://images.topperlearning.com/topper/tinymce/cache/91d4af7055b6219b454079e78a6897bd.png)
Answered by Renu Varma | 01 Nov, 2019, 10:19: AM
Application Videos
Concept Videos
CBSE 9 - Maths
Asked by chandininayak86 | 15 Dec, 2023, 07:36: AM
CBSE 9 - Maths
Asked by sagrawal0081 | 31 Aug, 2023, 19:24: PM
CBSE 9 - Maths
Asked by seemarana8535 | 11 May, 2022, 16:17: PM
CBSE 9 - Maths
Asked by aziznoorani17 | 04 Jan, 2022, 11:32: AM
CBSE 9 - Maths
Asked by vidyakashid7578 | 20 Sep, 2020, 01:36: AM
CBSE 9 - Maths
Asked by dvmathur | 22 Nov, 2019, 14:42: PM
CBSE 9 - Maths
Asked by prakash.sanyasi | 31 Oct, 2019, 23:27: PM
CBSE 9 - Maths
Asked by prakash.sanyasi | 21 Oct, 2019, 16:03: PM
CBSE 9 - Maths
Asked by Topperlearning User | 16 Aug, 2017, 15:08: PM