Date: 8.5(a) Notes: Rhombi Lesson Objective: Recognize and apply properties of rhombi. CCSS: G.CO.11, G.GPE.4.

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Presentation transcript:

Date: 8.5(a) Notes: Rhombi Lesson Objective: Recognize and apply properties of rhombi. CCSS: G.CO.11, G.GPE.4

Lesson 1: The Makings of a Rhombus Construct rhombus ABCD by drawing base DC = 2”. Construct m/ D = 70°. 70° D C

Lesson 1: The Makings of a Rhombus Use your compass to make all 4 sides = 2”. Measure and label all angles. Label all sides. 70° D C

Lesson 1: The Makings of a Rhombus A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 1: The Makings of a Rhombus What makes ABCD a parallelogram? A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 1: The Makings of a Rhombus Quad. ABCD is first a parallelogram because ___________________________, A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 1: The Makings of a Rhombus but more specifically it is a rhombus because it has 4 congruent sides. A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 1: The Makings of a Rhombus Draw diagonals AC and BD. Use colors to draw the diagonals. A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 2: Properties/Conditions of Rhombi Trace the rhombus onto tissue paper. Rotate the tissue 180°. What do you notice? A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 2: Properties/Conditions of Rhombi Turn the tissue upside down and rotate the tissue 90° clockwise. What do you notice? A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 2: Properties/Conditions of Rhombi All 4 triangles are congruent. What is the measure of the angles at the intersection of the diagonals? A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 2: Properties/Conditions of Rhombi A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 2: Properties/Conditions of Rhombi Properties/Conditions of Rhombi: 1)Must 1 st be a parallelogram 2)Diagonals are | A 2” B 110° 70° 2” 2” 70° 110° D 2” C

Lesson 2: Properties/Conditions of Rhombi Properties/Conditions of Rhombi: 3)Diagonals bisect each / 4)Only 1 pair consec. sides need to be A 2” B 110° 70° 2” 2” 70° 110° D 2” C

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