The ____________ is the location where three or more lines intersect.

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Presentation transcript:

The ____________ is the location where three or more lines intersect.

The ________ is the point of concurrency of the medians of a triangle.

The ________ is the point of concurrency of the perpendicular bisectors of a triangle.

The ________ is the point of concurrency of the altitudes of a triangle.

The ________ is the point of concurrency of the angle bisectors of a triangle.

Find the value of x. x 45

A BC is a midsegment. If AB = 2x - 27 and BD = x + 15, What is the length of AD? E B C D

E H F G J FH is a midsegment. EFH = x + 63 and EGJ = 2x-19, What is the value of x? E G F H J

LM is a midsegment. What is the length of LM? x + 85 M 3x + 46

MP is a midsegment. What is the value of x? Q

AE = 42. Find the length of AO and EO.

BO = 18.4. Find the length of BF and FO.

DO = 5.5. Find the length of CD and CO.

BO = 4x + 4 and FO = 16, find the value of x.

AE = 6x + 3 and AO = 36. Find the value of x.

XY = 4x – 15 and ZY = 17 – 4x. Find the value of x.

DC is a perpendicular bisector DC is a perpendicular bisector. If PCA = 7x + 13, what is the value of x?

D is the midpoint of AB and CE is the perpendicular bisector of DB. DE = 18 and EB = 18. What is the length of AB?

CD is the angle bisector of ACB. If ACD = 5x – 22 & BCD = 69 - 2x, find the value of ACB.

Find the value of x. 6x + 3 7x - 3

Can the following lengths form a triangle? Explain. 5 cm, 10 cm 11 cm

Can the following lengths form a triangle? Explain. 17 cm, 19 cm 36 cm

Order the angles of the triangle from smallest to largest. K 20 cm 14 cm L M 26 cm

Order the angles of the triangle from smallest to largest. 6x H J 4x

Order the sides of the triangle from smallest to largest 80 F E