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There are six basic parts to a triangle There are six basic parts to a triangle A C B There are six basic parts to a triangle A C B three sides side one There are six basic parts to a triangle A C B three sides side AC side one There are six basic parts to a triangle What is the name of side two? A C B side two three sides side AC side ? BC AB CA side three side one There are six basic parts to a triangle What is the name of side three? A C B side two three sides side AC side BC side ? CA AB BC There are six basic parts to a triangle A C B three sides three angles and There are six basic parts to a triangle angle one A C B three sides three angles angle A and There are six basic parts to a triangle angle one angle two A Name angle 2 C B A B C three sides three angles angle A angle ? and angle three There are six basic parts to a triangle angle one angle two A Name angle 3 C B B A three sides three angles angle A angle C and angle ? But there are also more complicated triangle parts But there are also more complicated triangle parts A C B But there are also more complicated triangle parts One of those parts is called... A C B But there are also more complicated triangle parts One of those parts is called... A ...the midsegment. C B To describe the midsegment A C B To describe the midsegment A we must first talk about midpoints C B Let's look at line segment AC A C B Let's look at line segment AC AC A C B Let's look at line segment AC If we knew the exact middle of line AC A C B middle point Let's look at line segment AC If we knew the exact middle of line AC A C B Let's look at line segment AC If we knew the exact middle of line AC and called that point D A C B Let's look at line segment AC If we knew the exact middle of line AC and called that point D A D C B Let's look at line segment AC If we knew the exact middle of line AC and called that point D Point D would be the midpoint of line AC A D C B If D is the midpoint of line segment AC then... A AB ≅ BC AD ≅ DC AC ≅ AB D C B Now let's look at line segment CB A D C B Now let's look at line segment CB A D C B CB Now let's look at line segment CB If we knew the exact middle point of that line A D C B Now let's look at line segment CB If we knew the exact middle point of that line A D C B middle point Now let's look at line segment CB If we knew the exact middle point of that line and called that point E A D C B Now let's look at line segment CB If we knew the exact middle point of that line and called that point E A D C E B Now let's look at line segment CB If we knew the exact middle point of that line and called that point E point E would be the midpoint of line CB A D C E B Point E is the midpoint of line... AB AC CB A D C E B midpoint of AC So we have the midpoints of two sides of a triangle. A D C E B midpoint of BC So we have the midpoints of two sides of a triangle. If we connect those midpoints with a line... A D C E B So we have the midpoints of two sides of a triangle. If we connect those midpoints with a line... A D C E B So we have the midpoints of two sides of a triangle. If we connect those midpoints with a line... that line is called the midsegment A D C E B The midsegment is any line that connects So we have the midpoints of two sides of a triangle. If we connect those midpoints with a line... that line is called the midsegment A two midpoints of the sides of a triangle D C E B side AC ? ∡A ? Identify the parts of the triangle A D side AB ? C E B ∡B ? midsegment ? ∡C ? side BC ? The midsegment has two very special properties: A D C E B The midsegment has two very special properties: A D C E B midsegment DE The midsegment has two very special properties: 1. it is parallel to the third side A D C E B The midsegment has two very special properties: 1. it is parallel to the third side A D C E B DE and AB are parallel The midsegment has two very special properties: 1. it is parallel to the third side 2. and it is half the size of the third side A D C E B The midsegment has two very special properties: 1. it is parallel to the third side 2. and it is half the size of the third side A D C E B DE = ½ AB Which of the following MUST be true A DE⇈AB CA⇈BA DE⇈CB D C E B A D 5 C E B A D 50 C E B A D 8 C 6 E B |