Modual 6

Question 1

Shape A is reflected on the shape B. Shape A and shape B are diagonally opposite each other. What is the line of reflection?

Answer 1

In the line of Y=X

Question 2

What details do you need to specify when figuring out the line of reflection?

Answer 2

The mirror line

Question 3

What details so you need to specify when figuring out the rotation of a shape?

Answer 3

• the angle turned
• direction
• centre of rotation

Question 4

What details so you need to specify when figuring out the translation of a shape?

Answer 4

The vector of the translation

Question 5

What details so you need to specify when figuring out the enlargement of a shape?

Answer 5

• the scale factor

- the centre of enlargement

Question 6

How do you figure out the scale factor of shape A onto shape B?

Answer 6

• count all of the square in shape A (4 squares)
• count all of the square in shape B (16 squares)
• figure out how many x it would take from shape A to B (4 times)
• Than you have your scale factor (scale factor 4)

Question 7

How do you find the centre of enlargement?

Answer 7

• Draw a line from the bottom left hand corner of SHAPE A. Draw it up to SHAPE B’s bottom left hand corner and let it go all the way to the top of the grid
• Do the same thing with the other two corners
• Where all three lines meet, that’s your centre of enlargement

Question 8

Shape A is reflected to shape B. They are both on top of the x axis and on either side of the y axis. Where is the line of reflection?

Answer 8

In the Y-axis

Question 9

What is a segment?

Answer 9

A part of a line

Question 10

How do you write vectors?

Answer 10

• on a line with A and B the way the point of the arrow isn’t facing is the first letter you start with
• put a across on top of the letters

Question 11

What do you do the letters in vectors?

Answer 11

underline it

Question 12

When you write the vector you put it in what? with what on top and what on the bottom?

Answer 12

• Large bracket’s
• x direction on top
  y direction on the bottom

Question 13

How do you construct a triangle when given 3 sides?

Answer 13

1) draw the longest measurement at the bottom
2) stretch your compass to one of the two other lengths
3) put the point of the compass on either point of the line you draw in STEP 1
4) move the compass to make a semi-circle
5) repeat STEP 2,3 AND 4 for the last measurement
6) where the two semi-circles meet, that it the top point of the triangle

Question 14

How do you construct a triangle with the angle and two given sides?

Answer 14

1) draw the longest length
2) measure the angle and put a dot where it is
3) draw a line from the corner and go through the dot
4) draw the final line

Question 15

How do you construct a 90 degree angle?

Answer 15

1) open your compass to a reasonable length
2) put the point of the compass on the point of the line and draw two arch’s on the line, either side of the point
3) open the compass a little bit further. Put the compass on one of the two arch’s and draw a bigger arch above it
4) repeat STEP 3

Question 16

How do you draw the perpendicular line from a point of the lin e

Answer 16

1) make your compass a reasonable length
2) make two points on the line the same distance and either side of the point
3) make the compass a little bigger and make a arch below the line from your compass being on the arc h that you just drew
4) repeat STEP 3
5) once you’ve drawn the perpendicular line, do a 90 degrees symbol

Question 17

What does locus mean?

Answer 17

a line that shows all the points which fit a given rule

Question 18

Loci: fixed distance from a given point

Answer 18

1) open the compass to the measurement given

2) draw a circle around the point given

Question 19

How do you construct a 60 degree angle?

Answer 19

1) open your compass to a reasonable length
2) put the point of the of the compass on the point of the line and draw a arch on the line and about it
3) keeping the compass the same length, move it to the arch on the line
4) draw another arch to over lap the first arch

Question 20

What does bisect mean?

Answer 20

To cut in half

Question 21

How do you bisect a angle?

Answer 21

1) open the compass to a reasonable length
2) put the point of the compass on the point of the angle. Move the compass to make two arch’s on both of the lines
3) move the compass to the arch you just drew and do another arch above it
4) repeat STEP 3

Question 22

How do you bisect a line?

Answer 22

1) open the compass to a reasonable length
2) put the compass on one end of the line and draw a arch above and below the line
4) do the same for the other side of the line
5 draw a line through the two crosses

Question 23

Loci: equidistant from two given points

Answer 23

1) open you compass to over half way of the distance between the points
2) put the compass on one of the points and draw an arch above and under ‘the line’
3) repeat STEP 2 but on the other point
4) draw a line between the arch’s, where they meet

Question 24

Loci: equidistant from two given lines

Answer 24

1) open your compass to a reasonable length
2) put the point of the compass on the point where the two lines meet. Draw arch on each of the lines
3) move your compass onto the arch you just drew and make another arch
4) repeat STEP 3
5) draw a line from where the two lines meet to the second arch pair you drew

Question 25

Loci: a fixed distance from a given line

Answer 25

1) measure the compass out to the measurement that you got given in the question
2) draw a semi-circle around the end of the line
3) repeat STEP 2 but on the other side
4) draw a line on top side, touching both of the semi-circles
5) repeat STEP 4 but on the other side