1 Here are two right-angled triangles.

y cm
6 cm
X
X
10 cm
15 cm
Circle the value of y.

y = 9 cm

Step-by-step explanation:

The 2 triangles are similar ( by AA postulate ) , then the ratios of corresponding sides are in proportion , that is

= = 1.5 ( multiply both sides by 6 )

y = 6 × 1.5 = 9 cm

let the first ∆ be ∆ABC and the second triangle be ∆XYZ

In ∆ABC and ∆XYZ ,

90° = 90°

∠X = ∠X

therefore , by AA property of similarity

∆ABC ≈ ∆XYZ

Now ,

the sides of similar triangles are in proportion ! therefore ,

hope helpful~

x/3-10=8

x/3=18

x=48

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .