7.5A & 7.5C Math TEKS

Front

What is the formula to find the length of a side in a similar triangle?

Back

If triangle ABC is similar to triangle DEF, then the ratio of corresponding sides is equal. For example, if AB/DE = AC/DF, then you can find the length of DE using the proportion.

Front

How do you convert a distance on a map to actual distance using a scale?

Back

To convert a distance on a map to actual distance, multiply the distance on the map by the scale factor. For example, if the scale is 1 inch = 5.25 meters and the distance on the map is 4 inches, the actual distance is 4 inches * 5.25 meters/inch = 21 meters.

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 a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you find a missing side length in a right triangle using 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). The formula is a² + b² = c².

Front

What is the significance of scale in maps?

Back

The scale on a map indicates the relationship between distances on the map and actual distances in the real world. It allows users to measure real distances based on the map's representation.

Front

What is the relationship between the sides of similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal. This means that if triangle ABC is similar to triangle DEF, then AB/DE = AC/DF = BC/EF.

Front

How can you set up a proportion to solve for a missing side in similar triangles?

Back

To set up a proportion, identify the lengths of the corresponding sides of the similar triangles and create a ratio. For example, if AB corresponds to DE and AC corresponds to DF, you can write AB/DE = AC/DF.

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size. This means that all corresponding sides and angles are equal.