By Allen Ma, Amber Kuang

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**Extra info for Geometry: 1,001 Practice Problems For Dummies**

**Example text**

37 Prove: TIN is isosceles Statements Reasons 1. M is the midpoint of TN , TR MR, NA MA, and TMA NMR 2. TM NM 1. Given 3. TRM and NAM are right angles 3. Perpendicular lines form right angles. 4. All right angles are congruent. 4. 5. RMA RMA 6. TMA RMA 2. 5. Reflexive property NMR RMA 6. Angle subtraction postulate and substitution or RMT 7. indd 37 NAM AMN 7. 8. 8. CPCTC 9. TIN is isosceles 9. April 24, 2015 6:48 PM 38 Part I: The Questions 200 Complete the following geometric proof. 200.

177. m XWY 50 and m WXY is 20 more than m WYX . 178. m WXY 60 , m XWY is represented by 2x, and m XYW is represented by x 30. 179. m XYZ is twice m XYW . Is it possible to classify this triangle? 180. indd 34 m WYX 2 x 10 April 24, 2015 6:48 PM Chapter 4: Classifying Triangles 181. m XYZ is 30 more than twice m WYX, and m W 40 . 182. m X x m W 2x m WYX 3x Understanding the Classification of Triangles 186. In right ABC , A is a right angle. If m B is represented by x 2 and m C is represented by 13x, find the degree measure of C.

DEF is isosceles with vertex E. If DE 2 x 10 and FE 3 x 4, find x. 166. LIN is an equilateral triangle. 5 x 14 and LN x 22, find the length of LI . 167. HYP is a right triangle with m P 90 . If PY is 3 more than HP and if HY is 3 less than two times HP, find the length of HP. 168. SHE is isosceles with vertex H. If SH is represented by x 2 and HE is represented by x 12, find the positive value of x. 3x 2 The perimeter of PER is 19 2 units. The three sides of the triangle are represented by PE ER The perimeter of PER is 42 units.