IM Geo.2.4 Lesson: Congruent Triangles, Part 2
Check your triangle to make sure the remaining measurements match.
Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.
Elena wonders whether she could play the Info Gap with area included as an extra piece of information in the data cards. She draws a card with this information and asks Han to play.
If Han asks for 2 sides and the area, do you think this will be enough information for Han to draw a congruent triangle?
If Han asks for 2 angles and the area, do you think this will be enough information for Han to draw a congruent triangle?
Jada and Tyler were playing the Info Gap, using Card 3.
Tyler asked, “Can I have 2 sides and an angle?”
Jada told Tyler that one angle was , one side was 5 cm, and one side was 4 cm. Here is the triangle Tyler made:
Is Tyler’s triangle congruent to the triangle on the Data Card?
Did Tyler do anything that didn’t match Jada’s instructions?
How could Tyler have made a more specific request for 2 sides and an angle so that his triangle was guaranteed to match Jada’s?