Which one of the following is NOT true about similar figures?
A Similar figures always have the same shape.
B Similar figures always have the same size.
C Similar figures always have corresponding angles that are equal.
D Similar figures always have corresponding sides that are proportional.
how to solve it
The sum of the interior angles of a polygon is 1440°. Find the number of sides of the polygon.
Can you please clarify the answer
If a polygon has 'n' sides, then it is divided into (n – 2) triangles. The sum of the angles of a triangle = 180°. Therefore, the sum of interior angles of a polygon having n sides is (n – 2) x 180.
(n - 2) x180 = 1440
n - 2 = 1440/180 = 8
n = 8 + 2 = 10
In a zoo, there were 15 lions and peacocks altogether. The number of heads was 25 less than the number of legs. How many more peacocks were there?
how answer d came
Let number of peacocks be p
Let number of lions be l
Number of legs = 15
Number of heads = 15 + 25 = 40
p + l = 15
2p + 4l = 40
Solving the above equations
p = 10 , l = 5
So there are 5 more peacocks than lions.
Find the missing number if both the figures follow same pattern.
how it answer d came
(A) Rs. 1700
(B) Rs. 3400
(C) Rs. 3440
(D) Cannot be determined