Flashcard 10 for HO10 - Exit ticket_ Using Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

If two figures are similar, what can be said about their corresponding angles?

Back

All corresponding angles in similar figures are congruent.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal.

Front

How do you find the height of an object using shadows?

Back

You can use the concept of similar triangles, where the ratio of the height of the object to the length of its shadow is equal to the ratio of the height of another object to the length of its shadow.

Front

What is the formula for finding the height of a pole leaning against a wall?

Back

The height can be found using the sine function: height = length of pole * sin(angle).

Front

What is the relationship between the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides in similar figures are proportional.

Front

If a 6' teenager casts an 8' shadow, what is the height of a tree that casts a 20' shadow?

Back

The height of the tree is 15'.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

Front

What is the significance of congruent angles in similar figures?

Back

Congruent angles in similar figures indicate that the figures are similar.

Front

How do you determine the height of a pole based on another pole's height and shadow length?

Back

Use the ratio of the heights and shadow lengths of the two poles to set up a proportion.