Geomerty and Similar Triangles Practice Test. Part A: Answer the following question in the space provided. the following triangles by i) sides

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1 MFM 2P1 Geomerty and Similar Triangles Practice Test Part A: Answer the following question in the space provided. Classify the following triangles by i) sides ii) angles a) b) i) sides: ii) angles: i) sides: ii) angles: 2. Determine the values of the variables. a) b) c) a a= b= c= d= e= d) e) f) f J= h= 3. Match the phrase in with the correct definition in by putting the correct letter in the blank. A (a) Two angles that add to 1800 (b) A refle angle (c) A right angle (d) A straight angle (e) Two angles that add to 90 B A 90 angle Complementary Angles A 180 angle An angle greater than 1 80 but less than 360 Supplementary Angles

2 4. Why are the following triangles similar? A CAB z AR 5. Why are the following triangles similar? F 6 G Q 3 R E Part B: Answer the following question in the space provided. Show full solutions like the ones done in class. In a survey, 8 out of 45 people ate fruit at lunch. In a school with 1320 students about how many ate fruit at lunch? Answer to the nearest student. 2. During a chemical reaction potassium and oygen combine in the ratio 2 to 13 by mass. How much oygen must combine with 5.7 grams of potassium during the reaction? Answer to 1 decimal place.

3 3. Determine the value of decimal place if necessary. Show your work. a) 13 b) Sam is building a patio fence using sections with dimensions as shown. A cross brace is required. Determine the length of the cross brace to 2 decimal places. 2.44m Cross Brace t ::ueee 1.83 m Part C: Answer the following questions in the space provided usin2 similar trian2les. Be sure to mark equal angles. You must have full solutions, like the ones done in class. Determine the values of the variables and y to 1 decimal place y

4 2. Determine the value of to 1 decimal place To find the distance across a pond, surveyors measured the distances shown. Use these distances to calculate the distance across the pond. 4. Determine the distance,, across the river to one decimal place. 25m River 30 m 75 m

5 MFM 2P1 Geomerty and Similar Triangles Practice Test Part A: Answer the following question in the space provided. Classify the following triangles by i) sides ii) angles a) b) i) sides: Tsoctc i) sides: ii) angles: ii) angles: 2. Determine the values ofthe variables. a) b) a a=!55 c= f,b d= b=25 e= : d) e) 0 f \%%::Lo F I f= (IC) g= h= (z) ( er:i4er&) j= 3. Match the phrase in with the correct definition in by puffing the correct letter in the blank. A B (a) (b) Two angles that add to 1800 A refle angle (C) (e) A 90 angle Complementary Angles (c) (d) (e) A right angle A straight angle Two angles that add to 90 (c1) A180 angle () An angle greater than 1 80 but less than 360 ( ) Supplementary Angles

6 _ 4. Why are the following triangles similar? A b 44 C%otte!&bd,,j arirt AcLA C 5. Why are the following triangles similar? QetM 44, r1qo ctcler q(s F G Lf I0 Q 3 R E Part B: Answer the following question in the space provided. Show full solutions like the ones done in class. In a survey, 8 out of 45 people ate fruit at lunch. In a school with students about how many ate fruit at lunch? Answer to the nearest student. faili : IIT&L At, 1 ;qç: (:i?w (t4 ) - ---, (t32..1) t%f SiJlbk L..(4pciLg 2. During a chemical reaction potassium and oygen combine in the ratio 2 to 13 by mass. How much tv must combine with 5 7 grams of during the reaction Answer to 1 decimal place. 1 9 Pd4 ss; 6 y 1f t4t i #.m. I? F 0 () ).T 3 (c1) -j 0 % e 3 rtlb%c L.JI$* 7Pb1I r#4t(ccta

7 3. Determine the value of decimal place if necessary. Show your work. a) 13 b) &z c( 14 11?_o 4o( 231 I5z. I4 4. Sam is building a patio fence using sections with dimensions as shown. A cross brace is required. Determine the length ofthe cross brace to 2 decimal places. t 1.83 m 2.44m Cross Brace %...Li \ T 3otc)r a. 3,oc I i4 CocvmraLe c 1o 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. Determine the values of the variables and y to 1 decimal place. f3i: (( SM4LL t..o ( (s.c If : a z., c X (2e.c) 11 I?s 8

8 2. Determine the value of to 1 decimal place. 8,;sg%AL. ic:+c, )( (,;X c4 7t) fr5 7c)L ( 75 q0g &OO Llc, X7o 3. To find the distance across a pond, surveyors measured the distances shown. Use these distances to calculate the distance across the pond m 22 > 3 G : i2.s 3ct.3 (I.( ) - ) I t. 4< rrck,r cnr 4. Determine the distance,, across the river to one decimal place. 30m ch 7c, 75 (30) 30 : U StA/LL$ Ct0 Ic Ow%

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