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

B O ‾ ≅ O N ‾ \overline{BO}\cong\overline{ON} B O ≅ O N

N U ‾ ≅ U S ‾ \overline{NU}\cong\overline{US} N U ≅ U S

B O ‾ ≅ U S ‾ \overline{BO}\cong\overline{US} B O ≅ U S

O N ‾ ≅ U N ‾ \overline{ON}\cong\overline{UN} O N ≅ U N

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

O U = 1 2 B S OU=\frac{1}{2}BS O U = 2 1 B S

O U = 1 2 U S OU=\frac{1}{2}US O U = 2 1 U S

O U = 1 2 B N OU=\frac{1}{2}BN O U = 2 1 B N

O U = 1 2 O N OU=\frac{1}{2}ON O U = 2 1 O N

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.

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

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

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

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

The Midline Theorem

Authored by Mark Roberts

Mathematics

9th - 10th Grade

CCSS covered

Used 769+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

SE = 48

SE = 6

SE = 24

SE = 12

Tags

CCSS.HSG.SRT.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

LD = 28

LD = 7

LD = 14

LD = 21

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

LS = 27

LS = 36

LS = 9

LS = 18

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

perimeter of ∆SIE is 28 units.

perimeter of ∆SIE is 38 units.

perimeter of ∆SIE is 19 units.

perimeter of ∆SIE is 24 units.

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

perimeter of ∆LID is 30 units.

perimeter of ∆LID is 20 units.

perimeter of ∆LID is 60 units.

perimeter of ∆SIE is 40 units.

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.

VI = 34

VI = 18

VI = 6

VI = 17

Tags

CCSS.8.EE.B.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.

x = 4

x = 3

x = 2

x = 6

Tags

CCSS.8.EE.B.6

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The Midline Theorem

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

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

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

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.

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.

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.

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.

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

[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.

[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.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The Midline Theorem

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

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

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

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.

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.

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.

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.

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

[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.

[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.

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Similar Resources on Wayground

Popular Resources on Wayground

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[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.

[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.