Presentation is loading. Please wait.

Presentation is loading. Please wait.

4.6 Using Congruent Triangles

Similar presentations


Presentation on theme: "4.6 Using Congruent Triangles"— Presentation transcript:

1 4.6 Using Congruent Triangles
Corresponding parts of congruent triangles are congruent. *Special case of definition of congruent figures. *Used after proving triangles congruent. CPCTC

2 Angles in a linear pair are ≡. Suppl. Of ≡ <s are ≡.
Statements Reasons 1. <1 ≡ <2 <ABC suppl. <1 <DEC suppl <2 3. < ABC ≡ < DEC 4. <ACB ≡ <DCE 5. ACB ≡ DCE . Given Angles in a linear pair are ≡. Suppl. Of ≡ <s are ≡. Vertical <s are ≡ . AAS ≡ CPCTC

3 The triangles are congruent
by ASA. CPCTC says that AB= DE. If you can measure length of DE, then you will know the length of AB.

4 The supplements of < 1 and <2 are congruent. DE is reflexive.
∆ DEB ≡ ∆ DEC by AAS. DB ≡ DC because of CPCTC. AD is reflexive. This makes ∆ ABD ≡ ∆ ACD by SAS.

5 Geometry Page 257(1-14, 28, 41-43) Page 259 (18-24, 29-31, 33-35, 44-46)


Download ppt "4.6 Using Congruent Triangles"

Similar presentations


Ads by Google