What is the main focus of exercises 8, 9, and 10?

Geometric Mean in Triangles

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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
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11 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Identifying types of angles
Calculating the perimeter of triangles
Solving incomplete proportions
Finding the area of triangles
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which angles are marked to help order the vertices correctly?
Supplementary angles
Right angles
Acute angles
Obtuse angles
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the geometric mean used in the context of triangles?
To calculate the perimeter
To find the area of a triangle
To compare the lengths of sides
To relate segments of the hypotenuse
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the error in the initial geometric mean ratio involving Z?
Z is compared to an angle
Z is compared to the entire hypotenuse
Z is not a geometric mean
Z is compared to the wrong segment
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct geometric mean relationship for the altitude to the hypotenuse?
Between the altitude and one leg
Between the altitude and the hypotenuse
Between the two legs
Between the two segments of the hypotenuse
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of X when the altitude is the geometric mean between two segments of the hypotenuse?
20
16
9
12
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which Pythagorean triple is used to verify the solution for X, Y, and Z?
8, 15, 17
3, 4, 5
5, 12, 13
7, 24, 25
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