Results 1 to 2 of 2

Math Help - Enlargement and scale factor.

  1. #1
    Newbie
    Joined
    Jan 2009
    From
    Belfast
    Posts
    3

    Enlargement and scale factor.

    Sorry i dont really understand these questions, i did them but im nearly certain ive did them wrong can someone tell me the correct answers and explain please?

    1. Triangle A is enlarged with a scale factor 3 into triangle B. One side of triangle B has length of 4.5cam.

    a. What is the length of the corresponding side of triangle A?

    One angle of triange B is 60 degrees.

    b. What is the size of the corresponding angle of triangle A?

    2. The rectangle ABCD is enlarged by scale factor 1/2. Find the corresponding lengths of the sides.

    a. AB
    b. BC

    (AB = 12.6cm)
    (BC = 5.4cm)

    c. Find the area of ABCD.
    d. Find the area of the image.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    12
    Awards
    1
    Quote Originally Posted by bronaghxo View Post
    Sorry i dont really understand these questions, i did them but im nearly certain ive did them wrong can someone tell me the correct answers and explain please?

    1. Triangle A is enlarged with a scale factor 3 into triangle B. One side of triangle B has length of 4.5cam.

    a. What is the length of the corresponding side of triangle A?

    One angle of triange B is 60 degrees.

    b. What is the size of the corresponding angle of triangle A?

    2. The rectangle ABCD is enlarged by scale factor 1/2. Find the corresponding lengths of the sides.

    a. AB
    b. BC

    (AB = 12.6cm)
    (BC = 5.4cm)

    c. Find the area of ABCD.
    d. Find the area of the image.
    Hello bronaghxo,

    (1) A scale factor is simply the ratio of any two corresponding sides of similar figures.

    Triangle A is 1/3 times triangle B. Therefore, the scale factor is 1/3.

    One side of triangle B = 4.5. The corresponding side of triangle A is 1/3 times 4.5 = 1.5.

    (1.b) Corresponding angles of similar polygons are congruent. So if triangle B has a 60 degree angle, then the corresponding angle in triangle A will also be 60 degrees.

    (2) The rectangle ABCD (pre-image) is REDUCED by a scale factor of 1/2.

    Multiply lengths of rectangle by 1/2 to get corresponding lengths for the image.

    The area of the pre-image ABCD is length X width or 12.6cm X 5.4cm.

    The image A'B'C'D' is 1/4 the area of the pre-image or 6.3cm X 2.7cm.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: July 19th 2011, 12:45 PM
  2. Enlargement factor
    Posted in the Algebra Forum
    Replies: 11
    Last Post: May 16th 2011, 09:47 AM
  3. scale factor
    Posted in the Algebra Forum
    Replies: 8
    Last Post: April 20th 2009, 02:56 AM
  4. Scale factor
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 27th 2009, 03:08 AM
  5. Scale factor
    Posted in the Algebra Forum
    Replies: 4
    Last Post: January 10th 2009, 09:06 PM

Search Tags


/mathhelpforum @mathhelpforum