The dimensions of the triangle shown are to be enlarged using a scale factor of 2.
Find the enlarged length of:
The dimensions of the triangle shown are to be reduced using a scale factor of \dfrac{1}{2}.
Find the reduced length of:
The dimensions of the triangle shown are enlarged using a scale factor of 3.1.
Find the new length of:
The dimensions of the triangle shown are reduced using a scale factor of 0.92.
Find the new length of:
For the given similar figures, find the scale factor from the larger figure to the smaller figure:
Consider the following quadrilaterals:
Is quadrilateral A'B'C'D' an enlargement of quadrilateral ABCD?
Find the scale factor.
For the given similar figures, the scale factor used to enlarge the smaller quadrilateral is 2.
Find the length of FG.
For the similar figures given, the scale factor used to enlarge the smaller quadrilateral is 4.5.
Find the length of FG.
The scale factor of these similar figures is 4:5. Find:
The reduction factor
The enlargement factor
The scale factor of these similar figures is 14:5. Find:
The reduction factor
The enlargement factor
The ratio of the lengths of the corresponding sides in these similar figures is 1:4.
Find the scale factor from the smaller figure to the larger figure.
Triangle ABC has been reduced to form a smaller triangle A'B'C'.
Find the scale factor.
Triangle ABC has been enlarged to triangle A'B'C'.
Find the scale factor.
If an image is enlarged by 250\%, find the scale factor as a decimal value.
The two figures shown are similar. \triangle PQR is a reduction of \triangle ABC.
Find the scale factor applied to \triangle ABC to get \triangle PQR.
Hence, find the length of PR.
The two figures below are similar:
Find the reduction factor.
Hence, find the value of m.
The two quadrilaterals in the diagram are similar. Find the value of y.
The two quadrilaterals in the diagram are similar. Find the value of b.
In the Cartesian plane shown, determine whether the larger triangle is a dilation of the smaller triangle.
In the Cartesian plane shown, determine whether the smaller triangle is a dilation of the larger triangle.
In the Cartesian plane shown, determine whether the smaller quadrilateral is a dilation of the larger quadrilateral.
An equilateral triangle of side length 6 \text{ cm} is to be enlarged by a factor of 5.
Determine the side length of the resulting triangle.
Determine the size of each angle in the resulting triangle.
Council has designed plans for a triangular courtyard in the town square. Their drawing shows the courtyard to have dimensions of 4 \text{ cm}, 6 \text{ cm} and 9 \text{ cm}. The shortest side of the actual courtyard is to be 80 \text{ m} long.
State the longest side length of the actual courtyard in metres.
State the middle side length of the actual courtyard in metres.
A boy wants to measure his height. He stands in the sun and takes note of where his shadow ends and places a 76 \text{ cm} pole vertically in the ground at the end of his shadow. He then measures the height and length of the stick's shadow.
Find the height of the boy.
A 5.6 \text{ m} ladder has a strut 190 \text{ cm} long placed 2.3 \text{ m} from the top.
If the feet of the ladder are d \text{ m} apart, find the value of d. Round your answer to two decimal places.
Sharon wants to measure the height of a flagpole. She places a mirror facing up on the ground between herself and the flagpole such that the mirror is 7.2 \text{ m} from the flagpole's base. She then backs away until a reflection of the top of the flagpole appears in the mirror.
If she stops moving backwards at a point that is 2.5 \text{ m} from the mirror and if her eye level is 1.54 \text{ m} above the ground, find the height of the flagpole in metres.
A large tree casts a shadow of 32 \text{ m}. At the same time, a 1.2 \text{ m} high fence post, standing vertically, casts a shadow of 4.5 \text{ m}.
Find h, the height of the tree in metres. Round your answers to two decimal places.
A 4.9 \text{ m} high flagpole casts a shadow of 4.5 \text{ m}. At the same time, the shadow of a nearby building falls at the same point S. The shadow cast by the building measures 13.5 \text{ m}.
Find h, the height of the building.
Two similar triangles are created by cables supporting a yacht's mast.
Solve for h, the height of the mast.
A surveyor needs to measure the distance across a river at a place where the banks are straight and parallel. There are two trees on the opposite bank that are 37 \text{ m} apart. She stands 8 \text{ m} from the bank, directly opposite the first tree. Her assistant has to move 7.7 \text{ m} along the bank to place a stick directly in her line of sight to the second tree.
Find the distance, d, across the river. Round your answer to two decimal places.
In the diagram \triangle ABD and \triangle ECD are similar right-angled triangles, with \\ AE = 10, \text{ } AB = 6 and EC = 1.2.
Find the exact length of x.
Hence, find the radius of the circle. Round your answer to one decimal place.
Engineers want to determine the distance for a bridge to be built between points A and B. The diagram is an aerial view of their measurements. Point C is chosen so that AC is perpendicular to AB. DE is parrallel to AB.
The following measurements are taken:
- CA = 300\text{ m}
- CD = 140\text{ m}
- DE = 150\text{ m}
Calculate the distance AB, to the nearest metre.
William recorded a video on his camera. When viewing it on the camera screen, the video appeared in a width to length ratio of 4:3 respectively.
When he uploaded to his computer, everything appeared wider in the video. If the width of the video on the computer was 20 \text{ cm}, what was the length?
Glass in the shape of a circle has a radius of 12 \text{ cm}. When the glass is blown, the radius becomes 48 \text{ cm}. Find the enlargement factor.
A circular oil spill has a radius of 20 \text{ m}. In a photo taken of the oil spill, the circle is reduced by a factor of 500.
Find the radius of the circular oil spill in the photo, to the nearest centimetre.
A rectangle is 8 \text{ cm} long and 6 \text{ cm} wide. If its dimensions are enlarged such that the length is now 28 \text{ cm}, find the new width.
Mae wants to insert a picture into a document. She enlarges it by a factor of 12 but it becomes too blurry, so she reduces the resulting picture by a scale factor of 4.
Find the overall scale factor from the original to the final size.
A 1.1 \text{ m} high fence casts a shadow of length 1.5 \text{ m}. At the same time, a lamp post of height 3.9 \text{ m} casts a shadow of length L metres.
Find the value of L, rounding to one decimal place.