Constructing 2 D Shapes Grade 6 Geometry Unit

Constructing 2 D Shapes Grade 6 Geometry Unit

Re-cap �Given two of the three angles in a triangle, how could we find the third angle? �Given SAS how could we construct a triangle? �Do you think we could construct a triangle give side (SSS)? �Do you think we could construct a triangle given angle side angle (ASA)?

Constructing Triangles with SSS �Goal: to construct triangle ABC with sides AB=6 cm, AC=5 cm, and BC is equal to 4 cm 6 cm �Step 1: Draw line AB which is 6 cm long A B �Step 2: Set the compass so the pencil and the compass point are 5 cm apart �Step 3: Place the Compass on point A 5 cm and draw an arc

Constructing Triangles with SSS �Step 4: Now, set the compass and pencil so that they are 4 cm apart. �Step 5: Place the compass point on B and draw an arc so the lines insert. The point where the arcs insert, label it C �Step 6: Draw segments AC and BC to complete the triangle, and label each segments with its length

Constructing Triangles with AAA �Goal: Draw a triangle that has the following degrees: <A 100 degrees, < B 45 degrees and <C 35 degrees �Step 1: Draw a tentative baseline (this means you will probably erase some of the line after all your angles are drawn) �Step 2: Label the first point with A A �Step 3: At point A, measure 100 degrees with your protractor, make a dot at 100 degrees and mark your dot with B B �Step 4: Connect points A and point B A

Constructing Triangles with AAA �Step 5: From point B, measure 45 degrees with your protractor, and mark that point with a dot and label it C, connect B and C �Connect point A and C to form your triangle

Constructing a Parallelogram �Goal: To construct a parallelogram BACD where AD=BC=5 cm, BA=DC=2 cm, Angle ABC=120 degrees, and angle BDC=60 degrees �Step 1: Use a ruler to draw a line segment that is 5 cm long B 5 cm C HINT: Since BC is 5 cm, what’s AC? �Step 2: At point B, measure and mark 120 degrees. Draw segment BA 2 cm long in the direction of 120 degrees. 2 cm 120 degrees 5 cm

Constructing a Parallelogram �Step 3: Use a protractor to measure 60 degrees at point C, and draw a line segment that is 2 cm long A C 120 degrees B 60 degrees D Step 4: Draw line segment AD to complete the parallelogram 5 cm A C 2 cm B D

Task. . . �A triangle where. . . - PQ=6 cm, QR=8 cm, PR=10 cm - All sides of CDE are 65 mm HFG=50 degrees, =60 degrees, =70 degree • A quadrilateral where. . . - <C=110 degrees, <D=130 degrees, <F=50 degrees