Question

read the sentences below, filling in the blanks with items from this list. each item will be used once.
similarity
vertex
sides
congruent
180
sas
similar
proportional

the side - angle - side similarity criterion is abbreviated as

two triangles are similar if they have one pair of
angles and the sides around these
angles are proportional.

when two triangles are similar, their corresponding
are proportional.

in the sas similarity criterion, the sides must be
to each other.

the sum of the interior angles of a triangle is always

in geometry, an angle formed by two rays with a common
endpoint is called a

the ratio of the lengths of two corresponding sides in similar
triangles is called the

triangles that have the same shape but different sizes are called

Explanation:

• For the first blank, the Side - Angle - Side similarity criterion is abbreviated as SAS.
• For the second blank, two triangles are similar if they have one pair of congruent angles and the sides around these angles are proportional.
• For the third blank, when two triangles are similar, their corresponding sides are proportional.
• For the fourth blank, in the SAS similarity criterion, the sides must be proportional to each other.
• For the fifth blank, the sum of the interior angles of a triangle is always 180 degrees.
• For the sixth blank, in geometry, an angle formed by two rays with a common endpoint is called a vertex.
• For the seventh blank, the ratio of the lengths of two corresponding sides in similar triangles is called the similarity ratio.
• For the eighth blank, triangles that have the same shape but different sizes are called similar triangles.

Answer:

1. SAS
2. congruent
3. sides
4. proportional
5. 180
6. vertex
7. similarity
8. similar