Q3 Benchmark Practice Quizs

What is the Angle-Angle (AA) criterion for triangle similarity?

• If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

• If the sides of one triangle are proportional to the sides of another triangle, then the triangles are similar.

• If the sum of the angles in one triangle is equal to the sum of the angles in another triangle, then the triangles are similar.

• If one angle of a triangle is equal to one angle of another triangle, then the triangles are similar.

What is the slope formula and how do the slopes of parallel lines compare to each other?

• The slope formula is @@\frac{y_2-y_1}{x_2-x_1}@@ and the slopes of parallel lines are equal to each other.

• The slope formula is @@\frac{y_1-y_2}{x_1-x_2}@@ and the slopes of parallel lines are different.

• The slope formula is @@\frac{rise}{run}@@ and the slopes of parallel lines are always negative.

• The slope formula is @@\frac{y_2+y_1}{x_2+x_1}@@ and the slopes of parallel lines are sometimes equal.

What is the relationship between the angles in a triangle?

• The sum of the interior angles in a triangle is always 180°.

• The sum of the interior angles in a triangle is always 90°.

• The sum of the interior angles in a triangle can vary depending on the type of triangle.

• The sum of the interior angles in a triangle is always 360°.

What does it mean if two triangles are not similar?

• Their corresponding angles are not equal or their corresponding sides are not in proportion.

• Their corresponding angles are equal and their corresponding sides are in proportion.

• They have the same area but different perimeters.

• They are both equilateral triangles.

If @@m∠1 = 45°@@ and @@m∠2 = 45°@@, what can be said about the triangles containing these angles?

• They are congruent by the SSS criterion.

• They are similar by the AA criterion.

• They are not related at all.

• They are congruent by the SAS criterion.

What is the relationship between corresponding sides of similar triangles?

• The lengths of corresponding sides of similar triangles are equal.

• The lengths of corresponding sides of similar triangles are proportional.

• The lengths of corresponding sides of similar triangles are random.

• The lengths of corresponding sides of similar triangles are inversely related.

What does SAS stand for in triangle similarity?

• Side-Angle-Side

• Side-Side-Angle

• Angle-Side-Angle

• Angle-Angle-Side

How can you verify triangle similarity using a diagram?

• By checking if the angles are equal and the sides are proportional in the given triangles.

• By ensuring that all sides of the triangles are equal in length.

• By measuring the area of the triangles and comparing them.

• By checking if the triangles have the same perimeter.

What is the definition of similar triangles?

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

• Two triangles are similar if they have the same area.

• Two triangles are similar if they have one angle equal and the other two sides proportional.

• Two triangles are similar if they are congruent.

What is the slope formula and how do the slopes of perpendicular lines compare to each other?

• @@\frac{y_2-y_1}{x_2-x_1}@@ or @@\frac{rise}{run}@@; The slopes of perpendicular lines are opposite reciprocals of each other (ie 3/2 and -2/3 are perpendicular slopes).

• The slope formula is @@\frac{y_1-y_2}{x_1-x_2}@@; Perpendicular lines have the same slope.

• The slope formula is @@\frac{y_2+y_1}{x_2+x_1}@@; Perpendicular lines have slopes that are equal.

• The slope formula is @@\frac{y_2-y_1}{x_1+x_2}@@; Perpendicular lines have slopes that are negative of each other.