Triangle Fun Challenge: Catching Angles with Math Theorems

Challenge! • Ka-Broom! Rules: Each member of your team must catch 2! First team to complete the task gets 5 points, 2nd team gets 3, 3rd team gets 2!

Unit 4 TRIANGLE FUN 

I can use the angle sum theorem • I can use the angle sum theorem • I can the exterior angle theorem • I can the exterior angle theorem Learning Targets Lesson 4-1

sum angles 180°

30° m∠1 = 28° m∠1 = 120°

58° 32° 32° 58° m∠1 = 56° m∠2 = 56° m∠3 = 74°

remote interior exterior not

exterior angle sum remote interior angles m∠1 = m∠A + m∠B

m∠1 = 115°

2x + 95 = 145 2x = 50 x = 25

140° 65° 40° 75° 115°

55° 55° 70°

125° 55° 95°

ASSIGNMENT: 4-1Worksheet

4.2 Congruent Triangles Learning Target: • I can name and label corresponding parts of congruent triangles.

vertices A B C

size shape

Angle Measure Betweenness Collinearity Distance

m∠A = m∠J JK AB = m∠B = m∠K BC = KL m∠L JL m∠C = AC = Match up the letters in the same “position” AND look at the ‘tick marks’ in the picture! Match the congruent pieces!

Warm Up

I can recognize and use the SSS, SAS, ASA, AAS, and HL Postulates to see if triangles are the same. Lesson 4.3

CAN’T USE!!! 40 40 50 50

CAN’T USE!!! 7 7 6 6 40° 40°

SAS ∆DNV ≅ ∆BCX

SSS ∆TRS ≅ ∆SUT

HL ∆JKL ≅ ∆MNP

AAS ∆NJK ≅ ∆LMK

Your turn! Try e-h! SAS ∆CDA ≅ ∆BDA

ASA ∆RST ≅ ∆UVT

AAS ∆RUT ≅ ∆RST

SAS ∆FJH ≅ ∆GHJ

A M R C W G MG ≅ AC

D X G K Y Z YZ ≅ DK

D A E F B C ∠B ≅ ∠E or ∠C ≅ ∠F

ASSIGNMENT: “Swimming through triangles” worksheet, both sides (Pages 3 – 4)

Warm Up

PROOFS! Lesson 4.4

TS ≅ TS Given Given Reflexive ∆RST ≅ ∆UTS SSS

US ≅ US Given Given Def’n of angle bisector ∠RSU ≅ ∠TSU Reflexive SAS ∆RSU ≅ ∆TSU

Your Turn…

BD ≅ BD Given Given Reflexive SSS ∆ABD ≅ ∆CBD CPCTC ∠A ≅ ∠C

DF ≅ DF DG ≅ FE Given Given Reflexive AIA ≅↔ || lines ∠EDF ≅ ∠GFD AAS ∆EDF ≅ ∆GFD CPCTC

BC ≅ BC Given Given Reflexive HL ∆BAC ≅ ∆BDC CPCTC ∠A ≅ ∠D

Triangle Fun Challenge: Catching Angles with Math Theorems