Similar and Congruent Figures Day 1

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

If two figures are similar, their angles are _______.

Back

Congruent

Front

If \( \Delta ABC \) is similar to \( \Delta DEF \), which proportion is true?

Back

\( \frac{CA}{AB} = \frac{FD}{DE} \)

Front

What does it mean for two figures to be similar?

Back

They have the same shape but different sizes, and their corresponding angles are congruent.

Front

What is the relationship between the sides of similar figures?

Back

The lengths of corresponding sides are proportional.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

If \( \Delta ABC \) and \( \Delta XYZ \) are similar, and \( AB = 4 \) and \( XY = 8 \), what is the ratio of their sides?

Back

The ratio is \( \frac{AB}{XY} = \frac{4}{8} = \frac{1}{2} \).

Front

If two angles are congruent, what can be said about the figures they belong to?

Back

The figures may be similar, but not necessarily congruent.

Front

What is the definition of congruent figures?

Back

Figures that are the same shape and size.

Front

If \( \Delta ABC \) is similar to \( \Delta DEF \), what can be said about their corresponding angles?

Back

Their corresponding angles are equal.