Corresponding sides and angles

Front

What are corresponding sides in similar triangles?

Back

Corresponding sides are the sides of two or more triangles that are in the same relative position. In similar triangles, the lengths of corresponding sides are proportional.

Front

What are corresponding angles in similar triangles?

Back

Corresponding angles are the angles in two or more triangles that are in the same relative position. In similar triangles, corresponding angles are equal.

Front

If \( \Delta ABC \sim \Delta DEF \), what can be said about the sides \( AB \) and \( DE \)?

Back

The sides \( AB \) and \( DE \) are corresponding sides, and their lengths are proportional.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the significance of the congruence statement \( \Delta ABC \cong \Delta DEF \)?

Back

It indicates that the two triangles are congruent, meaning all corresponding sides and angles are equal.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

In the context of triangles, what does the term 'proportional' mean?

Back

Proportional means that the ratios of the lengths of corresponding sides are equal.

Front

If angle A corresponds to angle D, what can be inferred about their measures?

Back

If \( \Delta ABC \sim \Delta DEF \), then angle A and angle D have equal measures.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in the same ratio.

Front

How can you identify corresponding sides in two similar triangles?

Back

You can identify corresponding sides by matching angles; the sides opposite to equal angles are corresponding sides.