Relationship in Triangles

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

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.

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.

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

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

QR is a midsegment of triangle WUV. What is the length of segment QR?

• 4

• 8

• 16

• 32

Tags

CCSS.HSG.SRT.B.4

Which of the following terms best describes Angle d?

• Remote interior angle

• Corresponding angle

• Exterior angle

• Interior angle

Tags

CCSS.8.G.A.5

What segment is parallel to EF?

• Segment PM

• Segment MN

• Segment NP

• Segment FG

Tags

CCSS.HSG.CO.C.10

What is the measure of angle Y?

• 60

• 40

• 140

• 100

Tags

CCSS.HSG.CO.C.10

What is the measure of angle X?

• 60

• 40

• 140

• 100

Tags

CCSS.8.G.A.5