Honors Geometry Chapter 1 Review Name: ___________________________________ Date: ________________ Period: ___________ Directions: Use the diagram at the right. E 1.) How many straight angles have their vertex at G? 2.) GB BD 3.) Which angle in the figure can be named with one letter? 4.) How many triangles are shown? 5.) Which two angles add up to AFC ? 6.) ED FG 7.) EFA AFB 8.) DC BG 9.) FG GB FB D F G A C B Directions: Answer the following questions. 10.) Determine the angle formed by the hands of a clock at 11:24. R 11.) A In ABC and RST, a. Which two segments must be congruent? B b. Which two angles must be congruent? 12.) C T S Z Give the length of each side of XYZ. 9 cm 6 cm 8 cm X Y 13.) Write A if the statement is always true, S if it is sometimes true, or N if it is never true. a. Given: <DBC is a right angle. Conclusion: <ABC is obtuse. D A B b. Given: F is between E and G. Conclusion: EF FG 14.) C E C F AP is six more than twice as long as PK. If AK has length 72, how long is AP ? P A K B 15.) M BM PV BP MV BM = 3x + 12 MV = 2y – 8 PV = 5y + 34 BP = x – 3 Find the perimeter of BMVP. P V E 16.) Name the congruent segments. Line F bisects EG ? l G H 17.) G J Name the congruent angles. a. JK bi sec ts GJF b. BD bi sec ts ABC E F D A K C B 18.) Name the angle bisector if ABE EBC E A D B 19.) P OR and OS trisec t TOP C R TOP 40.2 S Find mPOR O T Directions: Supply a valid reason for each of the following conclusions. Write all answers as a complete sentence, using “If, then” form when possible. 20.) Given: A is a right angle B is a right angle Conclusion: A B A B A A Reason: ___________________________________________________ ___________________________________________________ D 21.) Given: DE bisec ts AC C B A E Conclusion: AB BC Reason: ___________________________________________________ ___________________________________________________ 22.) Change: a.) 7222’30” to degrees 7 b.) 46 to degrees, minutes, seconds 8 c.) 1326’ to degrees 23.) Given: ABE is a right angle DBC is a right angle DBE = 30 Prove: ABD CBE B A D E C