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Lessons 25, 28, 30, & 36: Proving Triangles Congruent

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Presentation on theme: "Lessons 25, 28, 30, & 36: Proving Triangles Congruent"— Presentation transcript:

1 Lessons 25, 28, 30, & 36: Proving Triangles Congruent
Unit 3: Triangles Lessons 25, 28, 30, & 36: Proving Triangles Congruent

2 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

3 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

4 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

5 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

6 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

7 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

8 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

9 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

10 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

11 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

12 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

13 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

14 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

15 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

16 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

17 Proving Triangles Congruent
Goals: to recognize congruent figures and their corresponding parts; prove triangles are congruent by SSS, SAS, ASA, AAS, & HL; prove parts of triangles are congruent using the corresponding parts principle Essential Understandings: congruence relationships can be established between figures by comparing corresponding parts; Triangles can be proven to be congruent using certain corresponding parts; corresponding parts of congruent triangles are congruent

18 Proving Triangles Congruent
Homework: Worksheet - Proving Triangles Congruent


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