STAAR Review

Front

What is the definition of similar triangles?

Back

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

Front

What is the proportional relationship in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal. For example, if triangle PQR is similar to triangle XYZ, then PQ/XY = QR/YZ = PR/XZ.

Front

How do you set up a proportion to find a missing side length in similar triangles?

Back

To find a missing side length, set up a proportion using the lengths of corresponding sides. For example, if triangle PQR is similar to triangle XYZ, and you know PQ and XY, you can set up the proportion PQ/XY = PR/XZ.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Front

How can the Pythagorean theorem be used to find the height of a ladder leaning against a wall?

Back

To find the height the ladder reaches on the wall, use the Pythagorean theorem. If the ladder is the hypotenuse (c) and the distance from the wall is one side (a), then the height (b) can be found using b = √(c² - a²).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is often represented as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of how far they are extended.

Front

What is the significance of the slope in similar triangles?

Back

In similar triangles, the slopes of corresponding sides are equal, which means that the triangles maintain the same angle relationships and proportionality.

Front

What is an estimate?

Back

An estimate is an approximate calculation or judgment regarding a quantity, often used when exact values are not necessary or available.

Front

How do you estimate the weight of a kitten based on its age?

Back

To estimate the weight of a kitten based on its age, refer to growth charts or averages that indicate typical weight ranges for kittens at various ages.