G10 MATHS CON AND SIM

Question 1

reflection on x axis

Answer 1

(x,y) = (x,-y)

Question 2

reflection on y axis

Answer 2

(x,y) = (-x,y)

Question 3

relfection on y=x

Answer 3

(x,y) = (y,x)

Question 4

reflection on y = -x

Answer 4

(x,y) = (-y,-x)

Question 5

90 degrees counter clockwise or 270 clockwise rotation

Answer 5

(x,y) = (-y,x)

Question 6

180 degrees rotation

Answer 6

(x,y) = (-x,-y)

Question 7

90 degrees clockwise or 270 counter clockwise rotation

Answer 7

(x,y) = (y,-x)

Question 8

How to find center of enlargement

Answer 8

Find equation of line of two vertices and find where they intersect

Question 9

Translation + translation

Answer 9

Translation

Question 10

Translation + rotation

Answer 10

Rotation

Question 11

Translation + reflection

Answer 11

Rotation

Question 12

Reflection on x axis and then on y axis (or vice versa) is

Answer 12

rotation by 180 degrees by the origin

Question 13

how to find centre of rotation

Answer 13

Find slope eqaution of 2 vertices and then find their midpoint and then the perpendicular going through the midpoint. then equate the perpendicular formulas to get the point of interception of the perpendiculars and thats the centre of rotation

Question 14

Formula for exterior angle

Answer 14

360/n where n is number of sides

Question 15

Formula for interior angle in shape

Answer 15

180 - (360/n) where n is number of sides

Question 16

Properties of parallelogram

Answer 16

Opposite sides are parallel and equal
Diagonals bisect each other
Opposite angles are equal and angle on same edge are supplementary

Question 17

Properties of trapezium

Answer 17

Contains one pair of parallel sides who are opposite to each other
Contains one pair of non parallel sides who are also opposite to each other
The segment joining the mid point of the non parallel sides is parallel to the 2 other parallel sides

Question 18

Area for parallelogram

Answer 18

B*h

Question 19

Area of rhombus

Answer 19

(D1 * D2)/2

Where d1 and d2 are the diagonals

Question 20

Area of trapezium

Answer 20

((a+b)/2) * h

Question 21

Formula for area of equilateral triangle

Answer 21

(√3)/4) a^2

Question 22

Eulerian Path and Circuit

Answer 22

Eulerian Trail = Exactly 2 vertex have an odd degree and if you start and one vertex, then you end at the other, while travelling each edge only once

Eulerian Circuit = All vertex has even degree and hence graph is traversable and you return at the same pt where u started

Question 23

Hamiltonian Path and Circuit

Answer 23

Hamiltonian path = Path which visits every vertext only

Hamiltonian circuit = Path which vists every vertex exaclty once and return to its starting vertex

Question 24

Transformation of graph - Vertical Translation

Answer 24

f(x) = f(x) + k for vertically up
f(x) = f(x) - k for vertically up

Question 25

Transformation of graph - Hortizontal Translation

Answer 25

f(x) = f(x-k) for horizontally right
f(x) = f(x+k) for horizontally left

Question 26

Transformation of graph - relfection of graph

Answer 26

f(x) = -f(x) on X axis
f(x) = f(-x) on Y axis

Question 27

Transformation of graph - dillation by factor ‘a’

Answer 27

f(x) = af(x) for vertical dillation
f(x) = f(1/a * x) for horiztontal dillation

Question 28

Asymptotes of Rational Functions

Answer 28

Verticcal asymptote
x ≠ -d/c

Horizontal asymptote
y ≠ a/c

Question 29

What is the 5 point summary include

Answer 29

Min
Max
Lower Quartile (Q1)
Median (Q2)
Upper Quartlie (Q3)
IQR

Question 30

asympotet of log function

Answer 30

Vertical aysmtptoe
x = what makes eqaution insdei log () = 0

eg:
log( x+ 3)

asymptote = x = -3

Question 31

asymptote of exponetial function

Answer 31

Horizzontal asymptote

y = c