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WorksheetsSide Splitter Theorem
Total questions: 16
Worksheet time: 32mins
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
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
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
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
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
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
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
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
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
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
In the diagram of ADC below, EB is parallel to DC, AE = 9, ED = 5, and AB = 9.2. What is the length of AC, to the nearest tenth?
5.1
5.2
14.3
14.4
Given MRO shown below, with trapezoid PTRO,
MR = 9, MP = 2, and PO = 4. What is the length of TR?
4.5
5
3
6
In the diagram below, triangle ACD has points B
and E on sides AC and AD, respectively, such that
BE is parallel to CD, AB = 1, BC = 3.5, and AD = 18. What is the length of AE, to the nearest tenth?
14.0
5.1
3.3
4.0
In the diagram of ABC, points D and E are on
AB and CB, respectively, such that AC is parallel to DE. If AD = 24, DB = 12, and DE = 4, what is the
length of AC?
8
12
16
72
In the diagram of ABC below, DE is parallel to
AB, CD = 15, AD = 9, and AB = 40. The length of DE is
15
24
25
30
In the diagram of ABC below, points D and E are
on sides AB and CB respectively, such that
DE is parallel to AC. If EB is 3 more than DB, AB = 14, and CB = 21, what is the length of AD?
6
8
9
12
