Presentation is loading. Please wait.

Presentation is loading. Please wait.

Bellringer Can a triangle have the sides with the given lengths? Explain 8mm, 6mm, 3mm 5ft, 20ft, 7ft 3m, 5m, 8m.

Similar presentations


Presentation on theme: "Bellringer Can a triangle have the sides with the given lengths? Explain 8mm, 6mm, 3mm 5ft, 20ft, 7ft 3m, 5m, 8m."β€” Presentation transcript:

1 Bellringer Can a triangle have the sides with the given lengths? Explain 8mm, 6mm, 3mm 5ft, 20ft, 7ft 3m, 5m, 8m

2 6-2 Properties of Parallelograms

3 Theorems Theorem 6-1: Opposite sides of a parallelogram are congruent
Theorem 6-2: Opposite angles of a parallelogram are congruent Theorem 6-3: The diagonals of a parallelogram bisect each other.

4 𝑄𝑅=3π‘₯βˆ’15 𝑄𝑅=3 18 βˆ’15 𝑄𝑅=54βˆ’15 𝑄𝑅=39 𝑃𝑆=2π‘₯+3 𝑃𝑆=2 18 +3 𝑃𝑆=36+3 𝑃𝑆=39
3π‘₯βˆ’15=2π‘₯+3 βˆ’2π‘₯ βˆ’2π‘₯ 1π‘₯ βˆ’15=3 π‘₯=18 𝑄𝑅=3π‘₯βˆ’15 𝑄𝑅=3 18 βˆ’15 𝑄𝑅=54βˆ’15 𝑄𝑅=39 𝑃𝑆=2π‘₯+3 𝑃𝑆= 𝑃𝑆=36+3 𝑃𝑆=39

5 *Consecutive angles of a parallelogram are same-side interior angles, so they are supplementary.
π‘šβˆ π‘†+112=180 βˆ’112 βˆ’112 π‘šβˆ π‘†=68

6 π‘šβˆ π΅=π‘₯+15 π‘šβˆ π΅=60+15 π‘šβˆ π΅=75 π‘šβˆ π΄=180βˆ’π‘šβˆ π΅ π‘šβˆ π΄=180βˆ’75 π‘šβˆ π΄=105 πŸπŸ‘πŸ“βˆ’π’™=𝒙+πŸπŸ“
____βˆ’π’™ βˆ’π’™_____ πŸπŸ‘πŸ“βˆ’πŸπ’™=πŸπŸ“ βˆ’πŸπŸ‘πŸ“ βˆ’πŸπŸ‘πŸ“ βˆ’πŸπ’™=βˆ’πŸπŸπŸŽ βˆ’πŸ βˆ’πŸ 𝒙=πŸ”πŸŽ π‘šβˆ π΅=π‘₯+15 π‘šβˆ π΅=60+15 π‘šβˆ π΅=75 π‘šβˆ π΄=180βˆ’π‘šβˆ π΅ π‘šβˆ π΄=180βˆ’75 π‘šβˆ π΄=105

7 2π‘₯+5=5𝑦 π‘₯=7π‘¦βˆ’16 2(7π‘¦βˆ’16)+5=5𝑦 π‘₯=7π‘¦βˆ’16 14π‘¦βˆ’32+5=5𝑦 π‘₯=7 3 βˆ’16 14π‘¦βˆ’27=5𝑦
βˆ’27=βˆ’9𝑦 𝑦=3 π‘₯=7π‘¦βˆ’16 π‘₯=7 3 βˆ’16 π‘₯=21βˆ’16 π‘₯=5 Systems of Equations

8 Theorem 6-4: If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.

9 𝑦=11 π‘šβˆ πΈ=π‘šβˆ πΊ=70 π‘šβˆ πΉ=π‘šβˆ π»=110 π‘Ž=16 𝑏=14 𝐸𝐻=7.5

10 Practice!! Pg #1-22 and 44-52


Download ppt "Bellringer Can a triangle have the sides with the given lengths? Explain 8mm, 6mm, 3mm 5ft, 20ft, 7ft 3m, 5m, 8m."

Similar presentations


Ads by Google