Side Splitter Theorem

In the diagram below of ACT, BE is parallel to AT. If CB = 3, CA = 10, and CE = 6, what is the length of ET ?

• 5

• 14

• 20

• 26

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

In the diagram below of ABC, TV is parallel to BC, AT = 5, TB = 7, and AV = 10. What is the length of VC?

• 3 1/2

• 7 1/7

• 14

• 24

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

In right triangle ABC shown below, point D is on AB and point E is on CB such that AC is parallel to DE. If AB = 15, BC = 12, and EC = 7, what is the

length of BD?

• 8.75

• 6.25

• 5

• 4

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

In the diagram of ABC shown below, DE is parallel to BC. If AB = 10, AD = 8, and AE = 12, what is the

length of EC?

• 6

• 2

• 3

• 15

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Triangle PQT with RS is parallel to QT is shown below. If PR = 12, RQ = 8, and PS = 21, what is the length of PT ?

• 14

• 17

• 35

• 38

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

In the diagram below of PQR, ST is drawn parallel to PR, PS = 2, SQ = 5, and TR = 5. What is the length of QR?

• 7

• 2

• 12 1/2

• 17 1/2

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

In the diagram of ABC below, DE is parallel to BC,

AD = 3, DB = 2, and DE = 6. What is the length of BC?

• 12

• 10

• 8

• 4

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

In the diagram of ABC below, DE is parallel to AB. If CD=4, CA=10, CE=x+2, ad EB=4x-7, what is the length of CE?

• 10

• 8

• 6

• 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.SRT.B.4

In the diagram below of ABC, CDA, CEB,

DE is parallel to AB, DE = 4, AB = 10, CD = x, and

DA = x + 3. What is the value of x?

• 0.5

• 2

• 5.5

• 6

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

In the diagram below of RST, L is a point on RS ,

and M is a point on RT, such that LM is parallel to ST. If R=2, LS=6, LM=4, ST=x+2, what is the length of ST?

• 10

• 12

• 14

• 16

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.RP.A.2

CCSS.7.RP.A.3