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 the ratios of their corresponding sides are proportional.

Front

What is the criterion for two figures to be similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of two or more figures that are in the same relative position.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If two triangles have sides in the ratio of 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

How can you determine if two polygons are similar?

Back

To determine if two polygons are similar, check if their corresponding angles are equal and if the ratios of their corresponding sides 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.

Front

If a triangle has sides of 3 cm, 4 cm, and 5 cm, and another triangle has sides of 6 cm, 8 cm, and 10 cm, are they similar?

Back

Yes, they are similar because the sides are in the ratio of 1:2.

Front

What is the formula to find the height of an object using similar triangles?

Back

Height = (Distance to object / Distance to mirror) x Height of mirror.

Front

If two similar figures have a scale factor of 1:4, what does this mean?

Back

It means that for every 1 unit in the smaller figure, there are 4 units in the larger figure.