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.

Question

Accepted Answer

### 1. Triangles are considered similar if their corresponding angles are ______.
# Brief Explanations:
By the definition of similar triangles, corresponding angles must be congruent (equal in measure) for triangles to be similar.
# Answer:
congruent (or equal)

### 2. Similar triangles have corresponding sides that are ______.
# Brief Explanations:
A key property of similar triangles is that their corresponding sides are proportional, meaning the ratios of the lengths of corresponding sides are equal.
# Answer:
proportional

### 3. The ______ similarity criterion states that two triangles are similar if two angles of one triangle are congruent to two angles of another.
# Brief Explanations:
The AA (Angle - Angle) similarity criterion is based on the fact that if two angles of one triangle are congruent to two angles of another triangle, the third angles must also be congruent (since the sum of angles in a triangle is $180^{\circ}$), and thus the triangles are similar.
# Answer:
AA (Angle - Angle)

### 4. The angle of ______ is the angle formed by a horizontal line and the line of sight to an object above the horizontal.
# Brief Explanations:
The angle of elevation is defined as the angle between the horizontal line and the line of sight when the object is above the horizontal level of the observer.
# Answer:
elevation

### 5. Proving triangles are similar allows you to use ______ to find unknown lengths or heights.
# Brief Explanations:
When triangles are similar, the ratios of their corresponding sides are equal. This proportionality (or proportions) can be set up as equations to solve for unknown lengths or heights.
# Answer:
proportions (or proportionality)

### 6. A ______ triangle is a triangle with one $90^{\circ}$ angle.
# Brief Explanations:
By definition, a right triangle is a triangle that contains one angle with a measure of $90^{\circ}$ (a right angle).
# Answer:
right

### 7. ______ sides and angles are in the same relative position in two similar triangles.
# Brief Explanations:
In similar triangles, corresponding sides and angles are those that are in the same relative position (e.g., the side opposite the smallest angle in one triangle corresponds to the side opposite the smallest angle in the other similar triangle).
# Answer:
Corresponding

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QUESTION IMAGE

Question

Explanation:

1. Triangles are considered similar if their corresponding angles are ______.

Answer:

2. Similar triangles have corresponding sides that are ______.