Question

read the sentences below, filling in the blanks with items from this list. each item will be used once. proportions elevation aa proportional equal shape right corresponding triangles are considered similar if their corresponding angles are _. similar triangles have corresponding sides that are _. the _ similarity criterion states that two triangles are similar if two angles of one triangle are congruent to two angles of another. the angle of _ is the angle formed by a horizontal line and the line of sight to an object above the horizontal. proving triangles are similar allows you to use _ to find unknown lengths or heights. a _ triangle is a triangle with one 90° angle. _ sides and angles are in the same relative position in two similar triangles. similar triangles share the same _ even if their sizes differ.

Explanation:

• For the first blank, by the definition of similar triangles, corresponding angles are equal.
• For the second blank, similar triangles have corresponding sides that are proportional.
• For the third blank, the AA (Angle - Angle) similarity criterion is about two angles.
• For the fourth blank, the angle of elevation is formed as described.
• For the fifth blank, proportions are used with similar triangles for unknowns.
• For the sixth blank, a right triangle has a \(90^{\circ}\) angle.
• For the seventh blank, corresponding sides and angles are in the same position.
• For the eighth blank, similar triangles have the same shape.

Answer:

1. equal
2. proportional
3. AA
4. elevation
5. proportions
6. right
7. corresponding
8. shape