Review - Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the ratios of their corresponding side lengths are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the corresponding side lengths of a similar triangle with a scale factor of 2?

Back

The corresponding side lengths would be 6, 8, and 10.

Front

What is the relationship between the heights and shadows of similar figures?

Back

In similar figures, the ratio of the heights of the figures is equal to the ratio of the lengths of their shadows.

Front

If two triangles are similar and one has a height of 10 cm and a base of 5 cm, what is the height of the other triangle if its base is 15 cm?

Back

The height of the other triangle is 30 cm.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding dimensions (lengths, widths, heights) are equal.

Front

How do you calculate the distance on a map using a scale?

Back

To calculate the distance on a map, use the formula: Distance on map = Actual distance / Scale ratio.

Front

If a scale drawing has a scale of 1 inch : 10 feet, how many inches would represent 50 feet?

Back

5 inches would represent 50 feet.

Front

What is the formula for finding the height of a tree using similar figures?

Back

Height of tree = (Height of giraffe / Length of giraffe's shadow) * Length of tree's shadow.