Relationship in Triangles
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the shortest side of Triangle ABC.
AB
BC
AC
Answer explanation
The shortest side is always across from the smallest angle.
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Two sides of a triangle are 7 and 12 inches. What is the range of the possible side length of the third side?
5 < x < 19
4 < x < 8.5
8< x < 11
4 < x < 20
Answer explanation
The range of the possible side length of the third side is 5 < x < 19. This choice satisfies the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Two sides of a triangle are 8 and 8 inches. What is the range of the possible side length of the third side?
5 < x < 19
8 < x < 16
1 < x < 15
0 < x < 16
Answer explanation
The range of the possible side length of the third side is 0 < x < 16. This is the correct choice because it satisfies the triangle inequality theorem.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
Centroid
Incenter
Circumcenter
Orthocenter
Answer explanation
The point of concurrency created by drawing the perpendicular bisectors of a triangle is called the circumcenter. It is the center of the circle that passes through all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The centroid is the point of concurrency of the 3 ____ of a triangle.
Medians
Midsegments
Perpendicular Bisectors
Angle Bisectos
Answer explanation
The centroid is the point where the medians of a triangle intersect.
Tags
CCSS.HSG.CO.C.10
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
QR is a midsegment of triangle WUV. What is the length of segment QR?
4
8
16
32
Tags
CCSS.HSG.SRT.B.4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following terms best describes Angle d?
Remote interior angle
Corresponding angle
Exterior angle
Interior angle
Tags
CCSS.8.G.A.5
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