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________ ________________________________ ______ _____ ______ ______ MFM 2P1 Geometry and, Similar Triangles Test NAME: Part A: Answer the following questions by filling in the blanks with the correct response. (4) 1 Classify the following triangles by . i) sides ii) angles b) a) (9) i) sides: i) sides: ii) angles: ii) angles: 2. Determine the values ofthe variables. c) b) a) a= e= b= 0 e) d) f h=______ (5) 3 Match the phrase in , with the correct definition in j by putting the correct letter in the blank. . (a) Supplementary Angles Add to 90° (b) Straight Angle Addto 180° (c) Acute Angle An angle less than 90° (d) Obtuse Angle A 180° angle (e) Complementary Angles Greater than 90° but less than 180° (1) 4. Why are the following triangles similar? (1) 5. Why are the following triangles similar? 24 36 8 12 7 21 Part B: Answer the following questions in the space provided. Show full solutions like the ones done in class and on the practice test. Use proportions and/or the Pythagorean Theorem. (4) 1 Solve for x, rounded to 1 decimal place, if necessary. . a) x:9=58:6 b) 31:13=5:x ( 4) 2. A lawn mower runs on a gas to oil mixture of 7 : 3 Find the amount of oil to mix with 5 L of gas. Answer to 1 decimal place. (4) 3 In a survey 3 out of 7 people drove two-door cars. In a parking lot with 1200 cars about how many would be two-door? Answer to the nearest car. . (6) 4. Find the value ofx to 1 decimal place, if necessary. 7 (a) (b) 16 x x 12 11 (4) 5 . The cities of Edmonton, Calgary and Lloydminster form a right angle triangle on a map. The distance from Calgary to Lloydminster is the longest. The distance from Edmonton to Calgary is 300 km, the distance from Calgary to Lloydminster is 540 km. What is the distance from Edmonton to Lloydminster to 1 decimal place? Include a fully labelled diagram in your solution. Part C: Answer the following questions in the space provided using similar triangles. Be sure to mark equal angles. You must have full solutions, like the ones done in class. ( 1 6) 1 Determine the length of sides x and y to 1 decimal place. . x 24 b) y 10 x c) 8 49 90 (5) 2. A pole 3.8 m high casts a shadow that measures 1.4 m. A nearby tree casts a shadow 7.8 m long. Calculate the height of the tree to 1 decimal place. Include a fully labelled diagram in your solution. ______ Geometry and Similar Triangles Test MFM 2P1 NAME: Part A: Answer the following questions by filling in the blanks with the correct response. (4) 1 Classify the following triangles by . i) sides ii) angles b) a) et*’I i) sides: i) sides: ii) angles: ii) angles: (9) 2. Determine the values ofthe variables. c) b) a) b := (j d=_____ c= iE e= 77 C’) 0 e) d) f .-- d’ f= II 0 ,* 11’) ri )I h= (5) 3 Match the phrase in , with the correct definition in . z 1€” k= kZi 0 by putting the correct letter in the blank. A (b) Straight Angle ( e) ( UI (c) Acute Angle ( c. ) V An angle less than 90° (d) Obtuse Angle (1:,) A180°angle (e) Complementary Angles ( d’) (a) Supplementary Angles Addto9O° Addtol8O° V Greater than 90° but less than 180° ___I r’&• ct(JrJIfrD (1) 4. Why are the following triangles similar? ‘fCc Qr t 1 CitM /_ ( 1) N’cic o c,kcLo a 5. Why are the following triangles similar? ‘b( 24 36 8 12 7 21 Part B: Answer the following questions in the space provided. Show full solutions like the ones done in class and on the practice test. (4) 1 Solve for x, rounded to 1 decimal place, if necessary. . b) a) x:9=58:6 ( ) q Xç 31:13=5:x 31 1/ i , , VI 1 X (c)tr1Z ‘ 1,1: (4) )f 2. A lawn mower runs on a gas to oil mixture of 7 : 3 Find the amount of oil to mix with 5 L of gas. Answer to 1 decimal place. et:o;i ‘ ‘73 5:(/ _\I _‘•) v 3 (flj: (4) re O*’ L 7 ) L “?I a V *eJ $ 3. In a survey 3 out ofpeople drove two-door cars. In a parking lot with 1200 cars about how many would be two-door? Answer to the nearest car. r3r+ i( V 3t= ((Go) sl I Zuo V ((i..oG) z .%. 2Io.r (6) 4. Find the value ofx to 1 decimal place, if necessary. 7 (a) V x ‘: 1: (b) 16 x X*t*iL Lfr 4ft, 13 jc 11 3f ‘ &31 z (4) 5 . $ The cities of Edmonton, Calgary and Lloydminster form a right angle triangle on a map. The distance from Calgary to Lloydminster is the longest. The distance from Edmonton to Calgary is 300 km, the distance from Calgary to Lloydminster is 540 km. What is the distance from Edmonton to Lloydminster to 1 decimal place? Include a diagram in your solution. C V cLt -‘ / /___; ZI6oo L cl ,s LI / Part C: Answer the following questions in the space provided using similar triangles. Be sure to mark equal angles. You must have full solutions, like the ones done in class. 1 Determine the length of sides x and y to 1 decimal place. . 72 a) y 60 316 1’ C4I (. 4 çV (,o: 0 -. I4ø3 ici c c L4Lf.O q’,1%Q, ( 1 6) , x N%$) V — V (1i o z go1 g 24 b) f zi’ ’ 0 :ti y (Ca) V V 2-9 : (8) 10 V c*1. ,-fI,’I (4 %J xv : 1k — :s V c) ‘1o-’ V 8 j+%’: ¶øto ‘ 90 (4$4 a_iP (t) x _t_- v_ 2%e>t# 3’ i!iv ‘I’ 49 90 \ (5) 2. A pole 3.8 m high casts a shadhat measures 1. m. A nearby tree casts a shadow 7.8 m long. Calculate the height ofthe tree. Include a fully labelled diagram in your solution. ;S 7.4r:1,LL 3.? 1,’,f -let (34’t:i :L% _i:i* /.t) V ‘L1.i :e4 / 4v%et ; 7—a