Ratio and proportion in geometry I
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Lesson details
Key learning points
- In this lesson, we will compare the side lengths of triangles, one of which is an enlargement of the other, and calculate the ratios of the lengths of corresponding sides.
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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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5 Questions
Q1.
Fill in the gap: If two quantities are in the same ratio then there are _______ relationships I can use to find a missing value.
four
one
three
Q2.
Lots of the same groups of yellow and red counters are put in a bag. Fill in the missing value in the ratio table.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707167031%2Fbuhjq1mirjxwa8xksvat.png&w=640&q=75)
1.25
25
6.25
Q3.
Lots of the same groups of yellow and red counters are put in a bag. Fill in the missing value in the ratio table.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707167039%2Ffbhw3ufvku8uvoticlp4.png&w=640&q=75)
1.3
3.9
6
Q4.
Lots of the same groups of yellow and red counters are put in a bag. Fill in the missing value in the ratio table.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707167042%2Ffvkxucwkucp1nblka7ii.png&w=640&q=75)
16.1
2.3
5
Q5.
Yellow and red counters are in the ratio 2 : 3. What fraction of the counters are yellow?
2/3
3/2
3/5
5 Questions
Q1.
State the ratio between the side lengths AB and BC.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166031%2Fxkpa46ywrshhzndpvdk2.png&w=640&q=75)
10 : 4
2 : 4
4 : 10
Q2.
State the constant of proportionality between triangle ABC and triangle DEF.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166038%2Fbzg9r34evf0fbexef0z1.png&w=1920&q=75)
2
3
4
Q3.
Find the length of side DE.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166051%2Fysu9bfdiueepeux5ozox.png&w=1920&q=75)
10cm
40cm
80cm
Q4.
Find the length DE.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166053%2Fzquzr80unbhli3gbsopw.png&w=750&q=75)
20cm
25cm
80cm
Q5.
Find the length DE.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166065%2Fxe4oaauihn6vw4fqoh57.png&w=1920&q=75)
10cm
11.5cm
30cm