Rectangle
Trending Questions
Q. If the midpoints of the sides of a quadrilateral are joined in an order (in succession), prove that the resulting quadrilateral is a parallelogram.
Q. ABCD is a rectangle as shown in the figure. Then AC = ___ × OB. ![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/13013/content_rect.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/13013/content_rect.png)
Q. In a quadrilateral ABCD, If bisectors of the ∠ABC and ∠ADC meet on the diagonal AC, prove that the bisectors of ∠BAD and ∠BCD will meet on the diagonal BD.
![1008564_de0b1a58047f477b834654b57fe6efb2.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/1008564_de0b1a58047f477b834654b57fe6efb2.png)
![1008564_de0b1a58047f477b834654b57fe6efb2.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/1008564_de0b1a58047f477b834654b57fe6efb2.png)
Q. Q: In a quadrilateral ABCD, angle A + angle C = 2*(angle B + angle D). if angle A = 140 degree and angle D = 60 degree, then angle B is?
Q. Prove that a parallelogram which is not a rectangle is not cyclic.
Q. The bisectors of opposite angles are parallel to each other.
Q. In the given figure, AB∥CE and DF∥CB. Find the value of x and y
![1215298_6c95ca91a8144c25aa75febe301ceaa9.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1215298_6c95ca91a8144c25aa75febe301ceaa9.png)
![1215298_6c95ca91a8144c25aa75febe301ceaa9.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1215298_6c95ca91a8144c25aa75febe301ceaa9.png)
Q. ABCD is a rectangular with AD=12 cm and DC=20 cm. Line segment DE is drawn making an angle of 30∘ with AD, intersecting AB in E. Find the length of DE and AE.
Q. Assertion :If a, b, c ϵR and a≠b≠c and x, y, z are non zero. Then the system of equations ax+by+cz=0
bx+cy+az=0
cx+ay+bz=0 has infinite solutions. Reason: If the homogeneous system of equations has non trivial solution, then it has infinitely many solutions.
bx+cy+az=0
cx+ay+bz=0 has infinite solutions. Reason: If the homogeneous system of equations has non trivial solution, then it has infinitely many solutions.
- Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
- Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
- Assertion is correct but Reason is incorrect
- Assertion is incorrect but Reason is correct
Q. In figure given below, D and E are mid-points of the sides BC
and CA respectively of a
△ABC, right angled at C.
Prove that:
(i) 4AD2=4AC2+BC2
(ii) 4BE2=4BC2+AC2
(iii) 4(AD2+BE2)=5AB2
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1724903/original_8.png)
and CA respectively of a
△ABC, right angled at C.
Prove that:
(i) 4AD2=4AC2+BC2
(ii) 4BE2=4BC2+AC2
(iii) 4(AD2+BE2)=5AB2
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1724903/original_8.png)
Q. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in Fig. How much paper of each shade has been used in it?
![1134755_869e6c771e2b4f4a929e8b736fbf4f3e.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1134755_869e6c771e2b4f4a929e8b736fbf4f3e.png)
![1134755_869e6c771e2b4f4a929e8b736fbf4f3e.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1134755_869e6c771e2b4f4a929e8b736fbf4f3e.png)