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Proving Midline Theorem

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If LD is 12, then what is the value of SE?

a)

SE = 48

b)

SE = 6

c)

SE = 24

d)

SE = 12

2.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If SE = 14, then what is the value of LD?

a)

LD = 28

b)

LD = 7

c)

LD = 14

d)

LD = 21

3.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If LI = 18, what is the value of LS?

a)

LS = 27

b)

LS = 36

c)

LS = 9

d)

LS = 18

4.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If LS = 6, ID = 8, and SE = 10, find the perimeter of ∆SIE.

a)

perimeter of ∆SIE is 28 units.

b)

perimeter of ∆SIE is 38 units.

c)

perimeter of ∆SIE is 19 units.

d)

perimeter of ∆SIE is 24 units.

5.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If IS = 20, IE = 26, and SE = 14, find the perimeter of ∆LID.

a)

perimeter of ∆LID is 30 units.

b)

perimeter of ∆LID is 20 units.

c)

perimeter of ∆LID is 60 units.

d)

perimeter of ∆SIE is 40 units.

6.

In ∆VES, I and W are the midpoints of VE and ES respectively. If VI = 2x + 5 and IE = 3x - 1, find the value of VE.

a)

VI = 34

b)

VI = 18

c)

VI = 6

d)

VI = 17

7.

In ∆VES, I and W are the midpoints of VE and ES respectively. If IW = 3x + 7 and VS = 26, find the value of x.

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 6

8.

In ∆VES, I and W are the midpoints of VE and ES respectively. If IW = 5x + 3, and VS = 13x - 6, find the value of IW and VS

a)

IW = 21, VS = 42

b)

IW = 26, VS = 52

c)

IW = 23, VS = 46

d)

IW = 23, VS = 52

9.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. If OU = x2 + 1, and BS = x2 + x + 8, find the value of OU and BS.

a)

OU = 17, BS = 34

b)

OU = 10, BS = 20

c)

OU = 15, BS = 30

d)

OU = 5, BS = 10

10.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. If NU = x2 + 4x and US = 9x - 4. Find the value of NU.

a)

NU = 5

b)

NU = 32

c)

NU = 1

d)

NU = 36

11.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. If BO = (x + 4)2 and ON = 2x2 + 5x - 2. Find the value of BN.

a)

BN = 100

b)

BN = 2

c)

BN = 4

d)

BN = 200

12.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. List the congruent sides.

a)

BOON\overline{BO}\cong\overline{ON}

b)

BOUS\overline{BO}\cong\overline{US}

c)

ONUN\overline{ON}\cong\overline{UN}

d)

NUUS\overline{NU}\cong\overline{US}

13.

In ∆BNS, O and U are the midpoints of BN and NS respectively. How will you compute the OU?

a)

OU=12BSOU=\frac{1}{2}BS

b)

OU=12USOU=\frac{1}{2}US

c)

OU=12BNOU=\frac{1}{2}BN

d)

OU=12ONOU=\frac{1}{2}ON

14.

M and N are the midpoints

of the sides of ∆ABC.

If MN = 3x - 2 and BC = 9x - 13.

Find MN

(a)  

15.

Complete the segment:

The segments whose [1] ________ are the [2] ________ of a two sides of a triangle is [3] ________ to the third side and it has length equal to half the length of the third side.

a)

[1] midpoint, [2] endpoints, [3] parallel

b)

[1] endpoints, [2] midpoint, [3] congruent

c)

[1] midpoint, [2] endpoints, [3] congruent

d)

[1] endpoints, [2] midpoint, [3] parallel