We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

Marissa has a photograph that measures 2 in. by 4 in. She has mounted the picture on a mat so that there is a border that measures 1 in. around the picture. The graph shows a representation of the photograph and the mat on the coordinate grid.

Question 1

Marissa has decided to dilate the picture and the mat by a scale factor of 2. Draw the new image for the picture and mat on the coordinate grid.

Question 3

Marissa thinks that there could be a pattern between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image.

(a) Determine the perimeter and area of the picture and the perimeter and area of the mat.

(b) Create a table that shows the perimeter and area of the picture and the perimeter and area of the mat for scale factors of 2, 3, and 4.

Guest Dec 18, 2018

#1**+1 **

Question 1

Just double the x and y coordinates for each corner of the picture and the mat and plot these new points

For instance....the top rigt corner of the mat becomes (2,3) *2 = (4, 6)

And the top right corner of the picture = (1,2) * 2 = (2, 4)

etc.

Question 3

a) The perimeter of each new image = 2 times the perimeter of the old image

The area of each new image = (scale factor)^2 * area of old image = 4 times the old image

b) Scale factor of 3 triples the perimeter and the area is (3)^2 = 9 times as much

Scale factor of 4 quadruples the perimeter and the area is (4)^2 = 16 times as much

CPhill Dec 18, 2018