Presentation on theme: "1.5 Triangles and Special Quadrilaterals"— Presentation transcript:
1 1.5 Triangles and Special Quadrilaterals a) Name each of these three shapes.b) The endpoint A of AB is at (1,3). The midpoint is at (4,8). Where is B? Graph them.c) Find the three quarterpoints along AB where A = (2,4) and B = (10, -4).d) What is m < ?e) What is the midpoint between (3,-10) and (-5, -10)?f) Name the angle <2 in every way you can:g) Define collinear?$528,783,552,000 (I did a coy unveiling here, first writing $528 and then as they freaked out, writing the next three digits and so on.)Backstory here:Underline must, never, and every in the first three. Ask ‘em how many examples it takes to prove must, never, and every wrong. (hint: one)135°BPM2
2 1.5 Triangles and Special Qudrilaterals 1.5 Triangles and Special Quadrilateralsh) Is this polygon convex or concave? How do you know?j) Give three names for the polygon.k) Draw an equiangular polygon.l) Write a congruency statement for the triangles below.m) Draw an example of a linear pair.n) Draw an example of vertical angles.AGLDF4 miles long, 2 miles wide…circumference 12 mi. 45 m per hour…16 minCLAORN
3 2. A Quick Word on Assumption a) When you assume:“ ”You make an ass out of you and me.abcdb) Which lines are parallel?a || cc) Which lines are perpendicularbcdanoneHow about now?ab bc
4 Things you may not assume: 2. A Quick Word on AssumptionThings you may not assume:You may not assume that just because two lines or segments look parallel that they are parallel—they must be marked parallel!You may not assume that two lines are perpendicular just because they look perpendicular—they must be marked perpendicular!Pairs of angles, segments, or polygons are not necessarily congruent unless they are marked with information that tells you they must be congruent!
5 3. How To Score Easy Points On Tests a) Make an ass out of Mrs. Paunovska.Sample Test QuestionabcfedWrite the congruency statement:Yes! They “look” congruent but nothing has been marked congruent!...So the triangles are NOT CONGRUENT
6 4. Notes Right triangle Obtuse triangle Acute triangle Have them fold their notepaper into sixths.Scalene triangleIsosceles triangleEquilateral triangle
8 Parallelogram is a trapezoid with 2 additional parallel sides 4. NotesTrapezoidParallelogramKiteParallelogram is a trapezoid with 2 additional parallel sides. A rhombus is a kite with same sides. Rhombus + Rectangle = Square What do you notice about these three?RhombusRectangleSquare+=A rhombus is a kite with same sides.
9 The point being that it doesn’t matter what it LOOKS like. 4. NotesTrapezoidParallelogramKiteThe point being that it doesn’t matter what it LOOKS like. Only what it’s marked up as.RhombusRectangleSquareThe point being that it doesn’t matter what it LOOKS like.Only what it’s marked up as.