Unit 6 Test

Front

What does it mean for two triangles to be similar (ΔABC ~ ΔJKL)?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the perimeter of a similar triangle if you know the perimeter of the original triangle?

Back

The perimeter of a similar triangle can be found by multiplying the perimeter of the original triangle by the ratio of the lengths of corresponding sides.

Front

What is the relationship between the side lengths of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If a flagpole casts a shadow, how can you find its height using similar triangles?

Back

You can set up a proportion using the height of the flagpole and the length of its shadow compared to the height of another object and its shadow.

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

If two angles are in the ratio 2:8, how do you find the measure of the smaller angle?

Back

First, find the total parts (2 + 8 = 10). Then, divide 90 by 10 to find the value of one part (9). Multiply the smaller angle's part (2) by 9 to get 18 degrees.

Front

What is the formula for finding the height of an object using shadows?

Back

Height of object = (Height of reference object / Length of reference shadow) * Length of object's shadow.

Front

What does the symbol '~' signify in geometry?

Back

The symbol '~' signifies that two figures are similar.

Front

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

Back

If the ratios of the lengths of corresponding sides are equal, then the triangles are similar.

Front

What is the significance of the ratio of sides in similar triangles?

Back

The ratio of the sides in similar triangles is constant and is equal to the ratio of any two corresponding sides.