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Math CC7/8 – Be Prepared On Desk: Learning Log: HW: p. 39, #7-18

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Presentation on theme: "Math CC7/8 – Be Prepared On Desk: Learning Log: HW: p. 39, #7-18"— Presentation transcript:

1 Math CC7/8 – Be Prepared On Desk: Learning Log: HW: p. 39, #7-18
Pencil Protractor Math Journal BPW Learning Log TWMM Corrections?-due today Learning Log: HW: p. 39, #7-18 Polyptych – due Thursday!! Today- Learning Check: Rotations! BPW Quiz –Wednesday, May 30th BPW Small Test –Tues. June 5th Final Assessment –June 12-13

2 Tasks for Today Questions on Polyptych?
Due Thursday! Lesson 2.3 – Congruent Triangles Learning Check-Rotation! Start 3.1?

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6 No! No! One pair of corresponding parts is NOT enough.
AB is equal to DE, but they are not congruent. Angle A is congruent to angle D, but the triangles are clearly not congruent.

7 No! No! No! If 2 pairs of angles are congruent, so is the third – but that doesn’t mean the triangles are congruent – different side lengths are possible! AB = DE and AC = DF, but they are not congruent. One pair of angles and one pair of sides does NOT mean the triangle is congruent.

8 Angle – Side – Angle (ASA)
Three pairs of congruent corresponding parts is often enough evidence to conclude 2 triangles are congruent, but it makes a difference what the combinations of parts are!! Yes! Angle – Side – Angle (ASA)

9 Yes! Side – Angle – Side (SAS) Included = between
If 2 sides and the included angle of one triangle are congruent, respectively to 2 sides and the included angle of another triangle, then they are congruent!

10 Amy’s explanation isn’t quite complete
Amy’s explanation isn’t quite complete. Yes, all the angles are congruent, but she doesn’t give any argument why the other sides are congruent, particularly HI an KL. Nor does she explain why the angles are matched.

11 GJLI and HKLI are parallelograms.
Because HI is parallel to KL, angle H = angle K. Also, angle I = 180 – (angle G + angle H) Angle I = angle L

12 No! Congruence of angles does NOT guarantee congruence of triangles – even though it might look like it in this drawing! Congruent angles gives you similar triangles, but NOT congruent triangles!

13 Angle – Side – Angle (ASA) Side – Angle – Side (SAS)
Included side Side – Angle – Side (SAS) Included angle Side – Side – Side (SSS) Angle – Angle – Side (AAS) Adjacent side Angle – Angle – Angle (AAA) NOT a guarantee of congruence! Side – Side – Angle (SSA) is NOT a guarantee of congruence! - See Teaching Aid 2.3 Adjacent angle

14 Not a simple answer…  Why?


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