Part A: In Problems 1-9 use the given information to 1) complete the congruence statement and 2) tell which conjecture supports the congruence statement. If the triangles cannot be shown to be congruent from the information given, write "cannot be determined" or "CBD" 1. APAT = A 2. ATOP = A 3 3. AMSE = A ? M 4. ATIM = 4 3 5. ATRP = 4 3 6. ACGH = 4 3 N 7. ASIK = A 8. AJAR = A 9. ATAL = A R RWrite proofs for the two following problems. Use the type proof of your choice. (If you are unable to write a complete proof, write the statements and reasons you know for partial credit.) 1. Given: HU E W H E W E W U Show: [WEE . 2. Given: FO = FR, UO = UR [Don't forget you can draw extra line(s)] Prove: LO = LR? U O RPart D: Indicate whether the below statements are true or false {1' or F). If false, Indicate how the statement can be corrected to make it true. 1) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. 2) Side-side-angle is a way to prove triangles congruent. 3) Side-angle-angle is a way to prove triangles congruent. 4) CPCT C is a way to prove triangles congruent. (careful) 5) The base angles of an isosceles triangle are always congruent. 6) In an isosceles triangle the bisector of the vertex angle is also the median and altitude. \fPolygon CARBON is an equiangular and equilateral (regular) hexagon. AACN = A 3 by which conjecture N R EC #2 The measure of an angle formed by the bisectors of two angles in a triangle, as shown below, is 100. What is angle measure x? b 100 X\fWrite proofs for the two following problems. Use the type proof of your choice. (If you are unable to write a complete proof, write the statements and reasons you know for partial credit.) 1. Given: PT} 5 W H E W E W Show: 1-? a E