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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Equilateral and Isosceles Triangles

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Exercise 5 Page 612

Consider the Converse of the Base Angles Theorem.

If $∠ D ≅ ∠ C E D,$ then $\underline{\overline{C D}} ≅ \underline{\overline{C E}} .$
Converse of the Base Angles Theorem.

Practice makes perfect

The statement $∠ D ≅ ∠ C E D$ tells us that theses angles are congruent. Let's add this piece of information in our diagram.

According to the Converse of the Base Angles Theorem, if two angles of a triangle are congruent, then the sides $opposite$ them are congruent.

Now we can copy and complete the statement:

If ∠ D ≅ ∠ C E D, then \underline{\overline{C D}} ≅ \underline{\overline{C E}} .

Subchapter links

Communicate Your Answer p.607

Monitoring Progress p.609-611

Exercises p.612-614