Question 1 :
In which quadrant or on which axis does the point (–2, 4) lie?
Question 2 :
State true or false: The point of intersection of the axes is called the origin.
Question 3 :
The axes in coordinate geometry are divided into four parts. These four parts are called _________.
Question 5 :
If a point is in the 1st quadrant, then the point will be in the form-
Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1baf59b460d7261f4b4.JPG' />
Refer to the above image. Kamla has a triangular field with sides 240 m, 200 m, 360 m, where she grew wheat. In another triangular field with sides 240 m, 320 m, 400 m adjacent to the previous field, she wanted to grow potatoes and onions. She divided the field in two parts by joining the mid-point of the longest side to the opposite vertex and grew potatoes in one part and onions in the other part. How much area is been used for wheat ? $\begin{pmatrix}1\ hectare = 10000 m^2\end{pmatrix}$
Question 7 :
Write True or False. The area of the isosceles triangle is $\frac{5}{4}\sqrt{11}cm^2$, if the perimeter is 11 cm and the base is 5 cm.
Question 8 :
Write True or False. In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. The length of the altitude is 10.25 cm corresponding to the side having length 12 cm.
Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bbf59b460d7261f4b5.JPG' />
Refer to the above image. Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB, BC and CA; while the other through AC, CD and DA. Then they cleaned the area enclosed within their lanes. If AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and $\angle B = 90^{\circ}$, which group cleaned more area?
Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bcf59b460d7261f4b7.JPG' />
Refer to the above image. Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB, BC and CA; while the other through AC, CD and DA. Then they cleaned the area enclosed within their lanes. If AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and $\angle B = 90^{\circ}$, Find the total area cleaned by the students.
Question 12 :
If a transversal intersects two parallel lines, then corresponding angles are __________.
Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14ff59b460d7261f41b.png' />
In the above figure, AP and BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal 't' with parallel lines 'l' and 'm'. Thus, AP and BQ are __________.
Question 14 :
A triangle ABC is right angled at A. L is a point on BC such that AL $⊥$ BC. Are the two angles $∠$ BAL and $∠$ ACB equal?
Question 15 :
If a ray stands on a line, then the adjacent angles so formed are __________ and its converse,