Honors Geometry - Triangle Proportionality Theorem
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Easy
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the Triangle Proportionality Theorem?
If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.
The sum of the angles in a triangle is always 180 degrees.
The area of a triangle is calculated as half the base times the height.
All sides of an equilateral triangle are equal.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
State the formula for the Triangle Proportionality Theorem.
If a line parallel to one side of a triangle intersects the other two sides, then: @@\frac{a}{b} = \frac{c}{d}@@ where a and b are segments of one side, and c and d are segments of the other side.
If a line is drawn from a vertex to the opposite side, then: @@\frac{a}{c} = \frac{b}{d}@@ where a and b are segments of one side, and c and d are segments of the other side.
If a line parallel to one side of a triangle intersects the other two sides, then: @@\frac{a + b}{c + d} = 1@@ where a and b are segments of one side, and c and d are segments of the other side.
If a line parallel to one side of a triangle intersects the other two sides, then: @@a + b = c + d@@ where a and b are segments of one side, and c and d are segments of the other side.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the first step in solving a proportion?
Cross-multiply the terms to eliminate the fraction.
Add the numerators and denominators together.
Divide both sides by the denominator.
Subtract the smaller fraction from the larger one.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The segments KL and HJ are proportional to segments KG and LG.
The segments KL and KG are equal in length.
The segments HJ and LG are equal in length.
The segments KL and HJ are not proportional to segments KG and LG.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the relationship between similar triangles and the Triangle Proportionality Theorem?
The Triangle Proportionality Theorem establishes that all triangles are similar regardless of their side lengths.
The Triangle Proportionality Theorem is used to establish the similarity of triangles by proving that corresponding sides are proportional.
The Triangle Proportionality Theorem states that the angles of similar triangles are always equal.
The Triangle Proportionality Theorem is only applicable to right triangles.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the formula for finding the length of a segment in a triangle using proportions?
If @@\frac{a}{b} = \frac{c}{d}@@, then cross-multiply and solve for the unknown.
The length of a segment can be found by adding the lengths of the other two sides.
The formula is @@a^2 + b^2 = c^2@@ for right triangles only.
To find the length, subtract the lengths of the two segments.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of parallel lines in triangles?
They create equal angles in the triangle.
They create proportional segments on the triangle's sides, allowing for the application of the Triangle Proportionality Theorem.
They increase the area of the triangle.
They have no significance in triangles.
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