# Point e is the midpoint of ab and point f is the midpoint of cd

**AB**5 BC, then B is the

**midpoint**

**of**AC. 3. The

**midpoint**

**of**AE is

**F**. 4. The Pythagorean Theorem can be used for any triangle. 5.

**Point**C is at (6, 0). 6.

**Point**

**E**has a y-coordinate of 28. Vocabulary Builder

**midpoint**(noun) MID poynt Definition: A

**midpoint**

**of**a segment is a

**point**that divides the segment into two congruent segments. Use Your.

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**F**

**is**

**the**

**midpoint**

**of**

**AB**Prove: BD/

**CD**= AE/EC I can't post the picture so I will describe it. It is a Triangle ABC with

**point**

**E**on Side AC and

**F**on

**AB**. There is a line drawn from

**F**through

**E**intersecting side BC extended at D. I hope I have described the diagram sufficiently well. Please

**point**out any missing details that you need. Thank you!.

**point**in the interior of

**AB**" to be the

**point**

**F**in the interior of

**AB**such that for every other

**point**C 6=

**F**in the interior of

**AB**, we have A ∗

**F**∗C. This is a perfectly unambiguous deﬁnition, but unfortunately there is no such

**point**, just as there is no "smallest number between 0 and 1." If we wish to talk about "

**the**

**midpoint**"

**of**.

**AB**= AC. Let D be a

**point**on the segment BC such that BD = 1 48 61 and DC = 61. Let

**E**be a

**point**on AD such that CE is perpendicular to AD and DE = 11. Find AE. Sol. 25 In DEC ED2 + CE2 = CD2 CE

**CD**ED 61 11 2 2 2 2 CE 60 Now let

**F**be

**mid-point**of BC AF is perpendicular to BC as

**AB**= AC 1 61 48.

**midpoint of AB**,

**E is the midpoint**of BC, and

**F is the**.

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**E**

**and**

**F**are respectively the

**midpoints**

**of**

**the**sides BC, CA and

**AB**

**of**a ΔABC. To Prove: (

**i**) BDEF is a parallelogram. Proof: (

**i**) In ΔABC, ∵

**F**

**is**

**the**

**mid-point**

**of**side

**AB**

**and**

**E**

**is**

**the**

**mid-point**

**of**side AC. ∴ EF || BC ∵ In a triangle, the line segment joining the

**mid-points**

**of**any two sides is parallel to the third side.

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**E**parallel to

**AB**meets BC in

**F**. Show that

**F**

**is**

**the**

**mid**

**point**

**of**BC. M, N and P are the

**mid**

**points**

**of**

**AB**, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm. Calculate BC,

**AB**

**and**AC.