McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Rhombi and Squares
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Exercise 25 Page 518

The sides of a rhombus are congruent.

24

Practice makes perfect

We want to find the measure of ∠ BDA. Let's analyze the given rhombus.

Note that in a rhombus all sides are congruent.

Now let's recall the Base Angles Theorem.

Base Angles Theorem

If two sides in a triangle are congruent, then the angles opposite them are congruent.

Let's pay close attention to △ ABD. Because AB and AD are congruent, the angles ∠ BDA and ∠ ABD are congruent. m∠ BDA= m∠ ABD ⇓ m∠ BDA= 24