OBJECTIVE: UNDERSTAND THE BASICS OF GEOMETRY (16.1 AND 16.2)
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1 Warmup 1/ reated by Mr. Lischwe (Use the same warmup sheet as last week. You should have one day on it already.) 1. reate a goal for this 9 weeks and then tape it to the #goals cabinet. o over Parking Lot Strategies 2. When you finish 1), continue working on your Parking Lot posters. You have until 10:25. O! OJTV: UNRSTN T SS O OMTRY (16.1 N 16.2) WT S T RN TWN PONT, LN, N PLN? Undefined Terms Point, line, and plane are undefined terms. We call them this because they are the most basic terms in eometry. They cannot be defined using other terms. Points, Lines, Planes pg. 775 point is a specific location. t has no dimension and is represented by a dot. line is a connected straight path. t has no thickness and it continues forever in both directions. plane is a flat surface. t has no thickness and it extends forever in all directions. 1
2 Naming Points Lines Naming Lines Planes oldable 2
3 Point Line Plane efined Terms Now that we know what undefined terms are, what are defined terms? What is classified as a defined term? efined terms are terms that are defined by undefined terms. 3
4 Line Segment Ray Quick Reflection s KJ the same as JK? omework pg. 785 (17-21) N TXTOOK TOY!!! reated by na oero Warmup 1/(Messi s number) (This is still week 1 warmups. We are combining this week and last week.) 1) ome up with as many names as you can for this line: 2) ome up with as many names as you can for this segment: (the whole thing) 3) ome up with as many names as you can for this ray: P 4) (hallenge) ow many possible names for this plane are there? N L O T O 4
5 ollinear oplanar ON T K O YOUR OLL: ongruent segments are segments that have the same length. n the diagram, PQ = RS. Tick marks are used in a figure to show congruent segments. PQ RS means segment PQ is congruent to segment RS f two NUMRS are the same: equal = f two OMTR URS are the same: congruent 5
6 Midpoint Segment isector ngles pg. 790 WT S N NL? n angle is a figure formed by two rays with the same endpoint. The common endpoint is called the vertex of the angle. The rays are the sides of the angle. vertex Naming ngles Naming ngles 6
7 Naming ngles ngle ive our Ways to Name this ngle pg. 790 Write the different ways you can name the angles in the diagram. J RTQ, STR, 1, 2 L 1 K istinction! refers to the angle istelf. m refers to the measurement of the angle. Measuring ngles The measure of an angle is usually given in degrees. Since there are 360 in a circle, one degree is 1/360 of a circle. We can use protractors to measure angles. pg
8 pg. 791 Let s play with protractors! onstruct a 50 degree angle. onstruct a 35 degree angle that faces up like a v. onstruct a 120 degree angle. On back of foldable! ongruent angles are angles that have the same measure. n the diagram, m = m. rc marks are used to show that the two angles have equal measures. ngle isector pg. 792 n angle bisector is a ray that divides an angle into two congruent angles. JK bisects LJM; thus m LJK = m KJM. means ngle is congruent to angle ngle isector Postulate 8
9 Segment ddition Postulate pg. 777 What is? 12 4 Let,, and be collinear points. f is between and, then + = What is? 7 13 Notice: this means the length of segment plus the length of segment equals the length of segment f three points are collinear, then the lengths of the two shorter segments equals the length of the larger segment. is between and, = 6, and = 11. ind. is between and. ind. = + 11 = = Seg. dd. Postulate Substitute 6 for and 11 for. Subtract 6 from both sides. Simplify. x = 4 = 24 S is the midpoint of RT. ind RS, ST, and RT. R 2x S 3x 2 T ngle ddition Postulate pg. 792 f S is in the interior of PQR, then m PQR = m PQS + m SQR. RS = 4 ST = 4 RT = 8 9
10 m XWZ = 121 and m XWY = 59. ind m YWZ. KM bisects JKL. ind m JKM. m YWZ = m XWZ m XWY dd. Post. m YWZ = Substitute the given values. m YWZ = 62 Subtract. (7x 12) m JKM = 30 omework Pg. 795 (4-11, 15, 16, 20-22, 25) 10
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