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

all 8 tesslations

Answer 14

2 octagon, 1 square
2 dodecagon, 1 triangle
2 hexagon, 2 triangle
1 hexagon, 4 triangle
2 square, 3 triangle
1 hexagon, 1 triangle, 2 sqaured
1 dodecagon, 1 squared, 1 hexagon

Question 15

Formula for exterior angle

Answer 15

360/n where n is number of sides

Question 16

Formula for interior angle in shape

Answer 16

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

Question 17

Properties of parallelogram

Answer 17

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

Question 18

Properties of trapezium

Answer 18

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