SHS Similarity Unit Review

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

If a tree casts a shadow of 27.8 ft when it is 10.3 ft tall, how do you find the height of another object casting a shadow?

Back

Use the proportion of the heights to the lengths of the shadows: (Height of tree / Length of tree's shadow) = (Height of object / Length of object's shadow).

Front

Calculate the height of a bird bath that casts an 11.9 ft shadow if a 10.3 ft tree casts a 27.8 ft shadow. (Answer in inches)

Back

52.9 inches.

Front

If an adult giraffe is 17 ft 9 in tall and casts a shadow of 80 ft 6 in, how do you find the shadow of a baby giraffe that is 6 ft tall?

Back

Set up a proportion using the heights and shadows of both giraffes.

Front

What is the formula to find the missing side of similar triangles?

Back

If triangles are similar, then a/b = c/d, where a and b are sides of one triangle and c and d are sides of the other triangle.

Front

How do you convert feet to inches?

Back

Multiply the number of feet by 12 to get the equivalent number of inches.

Front

What is the height of a baby giraffe if its shadow is 27.2 inches when the adult giraffe's shadow is 80 ft 6 in?

Back

326.5 inches.