Page 30 - Math Course 3 (Book 2)

Properties of Squares and Rhombi

Your Turn!

Rectangle on a Coordinate Plane

Complete the following proof.
Given: ACDF is a rhombus; AB || DE
Prove: ΔABG ≅ ΔDEG
Proof:
Statements Reasons
1. ACDF is a rhombus; 1. Given
AB || DE
2. ∠AGB ≅ ∠DGE 2. Vertical Angles Theorem A. SSS
3. Diagonals of a rhombus B. SAS
3. AG ≅ DG C. ASA
bisect each other. D. AAS
4.Opposite sides of a
4. ∠BAG ≅ ∠EDG
parallelogram are ≅.
5. △ABG ≅ △DEG 5. _________?_________ Answer

Measures of a Rhombus
Use rhombus ABCD and the given information to find
the value of each variable. Find x if m∠1 = 2x² – 38. B C
A. x = 8
B. x = 4 or 12
C. x = 16 or –2
D. x = 8 or –8

Answer
A D
Use rhombus ABCD and the given information to find the
value of each variable. Find m∠CDB if m∠ABC = 126.

A. m∠CDB = 126
B. m∠CDB = 63
C. m∠CDB = 54
D. m∠CDB = 27

Answer

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