7.5A & 7.5C Math TEKS

Front

What does it mean for two triangles to be similar?

Back

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

Front

How can you determine if two triangles are similar using side lengths?

Back

You can use the Side-Angle-Side (SAS) similarity criterion or the Angle-Angle (AA) similarity criterion.

Front

What is the relationship between the angles of similar figures?

Back

Similar figures have congruent corresponding angles.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 3 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 4:3.

Front

What is a scale factor in the context of similar figures?

Back

A scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

How do you calculate the actual distance using a map scale?

Back

Multiply the distance on the map by the scale factor to find the actual distance.

Front

If a map scale is 1 inch = 5.25 meters, how far apart are two points that are 4 inches apart on the map?

Back

The actual distance is 4 inches * 5.25 meters/inch = 21 meters.

Front

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

Back

If triangle ABC is similar to triangle DEF, then the proportion can be set up as: (AB/DE) = (BC/EF) = (AC/DF).

Front

How do you convert distances from centimeters to kilometers using a map scale?

Back

Use the scale to find the actual distance in kilometers by multiplying the distance in centimeters by the scale factor.

Front

If the distance between two cities on a map is 3.5 cm and the scale is 1 cm = 20 km, what is the actual distance?

Back

The actual distance is 3.5 cm * 20 km/cm = 70 km.