Midline Theorem Challenge

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Midline theorem basics

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Raihana Naga Samama

Philippines

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Froggy Jumps Midline Theorem ChallengeOnline version Midline theorem basics by Raihana Naga Samama 1 What does the midline theorem state in a triangle? a The segment joining two vertices bisects the angle. b The segment through the centroid splits medians in a 2:1 ratio c The segment joining the midpoints of two sides is parallel to the third side. 2 Length of the midline equals what fraction of the third side? a The full length of the third side b One-third of the third side c One-half of the third side 3 If D and E are midpoints of AB and AC, DE is parallel to BC. True or False? a False b Only if AB = AC c True 4 Which points define the midline in triangle ABC? a Midpoints of AB and BC b The segment joining the midpoints of AB and AC c Midpoints of BC and AC 5 What is the ratio DE:BC? a Two-thirds b One c One-half 6 DE connects the midpoints of which sides in triangle ABC? a AB and AC b AB and BC c BC and AC 7 In a triangle with BC = 14, what is the length of the midline DE parallel to BC? a 7 b 7 is only for isosceles triangles c 14 8 Does the midline always lie inside the triangle? a No b Only in obtuse triangles c Yes 9 Can the midline DE be drawn from a vertex to another side midpoint? a Only in right triangles b No c Yes 10 Which theorem describes a segment joining midpoints being parallel to the third side? a Midline Theorem b Pythagorean Theorem c Angle Bisector Theorem

Froggy Jumps

Midline Theorem ChallengeOnline version

Midline theorem basics

by Raihana Naga Samama

What does the midline theorem state in a triangle?

The segment joining two vertices bisects the angle.

The segment through the centroid splits medians in a 2:1 ratio

The segment joining the midpoints of two sides is parallel to the third side.

Length of the midline equals what fraction of the third side?

The full length of the third side

One-third of the third side

One-half of the third side

If D and E are midpoints of AB and AC, DE is parallel to BC. True or False?

False

Only if AB = AC

True

Which points define the midline in triangle ABC?

Midpoints of AB and BC

The segment joining the midpoints of AB and AC

Midpoints of BC and AC

What is the ratio DE:BC?

Two-thirds

One

One-half

DE connects the midpoints of which sides in triangle ABC?

AB and AC

AB and BC

BC and AC

In a triangle with BC = 14, what is the length of the midline DE parallel to BC?

7 is only for isosceles triangles

Does the midline always lie inside the triangle?

Only in obtuse triangles

Yes

Can the midline DE be drawn from a vertex to another side midpoint?

Only in right triangles

Yes

Which theorem describes a segment joining midpoints being parallel to the third side?

Midline Theorem

Pythagorean Theorem

Angle Bisector Theorem

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Midline Theorem Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Midline Theorem ChallengeOnline version

by Raihana Naga Samama

What does the midline theorem state in a triangle?

Length of the midline equals what fraction of the third side?

If D and E are midpoints of AB and AC, DE is parallel to BC. True or False?

Which points define the midline in triangle ABC?

What is the ratio DE:BC?

DE connects the midpoints of which sides in triangle ABC?

In a triangle with BC = 14, what is the length of the midline DE parallel to BC?

Does the midline always lie inside the triangle?

Can the midline DE be drawn from a vertex to another side midpoint?

Which theorem describes a segment joining midpoints being parallel to the third side?

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