Geometry - Review Work
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Geometry
Name___________________________________
Review Work
Date________________ Period____
Evaluate each using the values given. 2) j + h + h; use h = 4, and j = 1 1) xy ÷ 6; use x = 5, and y = 6 3) x − z + x; use x = 6, and z = 1 4) 3hj ; use h = 3, and j = 3 5) ( j )(h + h); use h = 4, and j = 4 6) x + y + x; use x = 5, and y = 6 7) q + p ÷ 2; use p = 2, and q = 5 8) p + 3 − q; use p = 6, and q = 2 9) x − ( x − y); use x = 5, and y = 1 10) ( y)( x + y); use x = 5, and y = 3 11) ( p)( p + q); use p = 4, and q = 1 12) 3m − q; use m = 6, and q = 6 13) y + x ÷ 5; use x = 5, and y = 2 14) (6)(h + j ); use h = 1, and j = 6 Find the midpoint of the line segment with the given endpoints. 15) (−6, 7), (9, 4) 16) (−4, 1), (0, 1) 17) (−8, −2), (−7, −7) 18) (7, −4), (−6, 1) 19) (−1, −1), (4, 6) 20) (−10, 9), (6, −9) 21) (1, −4), (−4, −4) 22) (6, −9), (−8, 4) 23) (1, 10), (3, 3) 24) (7, −1), (−10, −6) Answer each question and round your answer to the nearest whole number. 25) Find the distance between Greenwood and Rivertown if they are 3 in apart on a map with a scale of 1 in : 17 mi. 27) A map has a scale of 1 cm : 18 km. If Centerville and Union are 144 km apart then they are how far apart on the map? 29) A model rocket has a scale of 1 cm : 3 m. If the model rocket is 6 cm tall then how tall is the real rocket? 31) A globe that is 2 ft tall casts a shadow that is 4 ft long. Find the height of a baby giraffe that casts a 12 ft shadow. 33) A model giraffe has a scale of 1 in : 2 ft. If the model giraffe is 8 in tall then how tall is the real giraffe? USE PYTHAGOREAN THEOREM TO SOLVE!!
26) A lawn ornament that is 6 ft tall casts a shadow that is 3 ft long. Find the length of the shadow that a 14 ft statue casts. 28) Johnstown and Midway are 7 cm apart on a map that has a scale of 1 cm : 8 km. How far apart are the real cities? 30) A model statue is 5 in wide. If it was built with a scale of 1 in : 2 ft then how wide is the real statue? 32) A 2 ft tall lawn ornament standing next to a statue casts a 1 ft shadow. If the statue casts a shadow that is 7 ft long then how tall is it? 34) A 20 ft tall ladder standing next to a tent casts a 10 ft shadow. If the tent casts a shadow that is 4 ft long then how tall is it?
35)
36) 7.4
4.4 12.9
10.6
37) 4
38) 4.4 6.3 11.9
-1-
Find the slope of the line through each pair of points. 39) (−2, 10), (4, −9) 41) (9, −8), (−16, 13) 43) (10, 1), (−16, −2) 45) (−1, 7), (3, −11) 47) (12, 15), (5, 13) Find the measure of angle b.
40) 42) 44) 46) 48)
49)
50)
(1, 12), (12, 6) (−12, −12), (13, −16) (−4, 13), (11, −8) (18, 7), (18, 6) (3, 4), (4, 14)
b
b
41°
76° 53° 84°
51)
52) 54° 31°
b
31°
b
53)
54) 60°
41°
60° b
b
55)
48°
56) 27° 19° 128°
b
b
71°
57)
58) 52°
b
b
24° 116°
-2-
32°
Geometry
Name___________________________________
Review Work
Date________________ Period____
Evaluate each using the values given. 2) j + h + h; use h = 4, and j = 1 1) xy ÷ 6; use x = 5, and y = 6 3) x − z + x; use x = 6, and z = 1 4) 3hj ; use h = 3, and j = 3 5) ( j )(h + h); use h = 4, and j = 4 6) x + y + x; use x = 5, and y = 6 7) q + p ÷ 2; use p = 2, and q = 5 8) p + 3 − q; use p = 6, and q = 2 9) x − ( x − y); use x = 5, and y = 1 10) ( y)( x + y); use x = 5, and y = 3 11) ( p)( p + q); use p = 4, and q = 1 12) 3m − q; use m = 6, and q = 6 13) y + x ÷ 5; use x = 5, and y = 2 14) (6)(h + j ); use h = 1, and j = 6 Find the midpoint of the line segment with the given endpoints. 15) (−6, 7), (9, 4) 16) (−4, 1), (0, 1) 17) (−8, −2), (−7, −7) 18) (7, −4), (−6, 1) 19) (−1, −1), (4, 6) 20) (−10, 9), (6, −9) 21) (1, −4), (−4, −4) 22) (6, −9), (−8, 4) 23) (1, 10), (3, 3) 24) (7, −1), (−10, −6) Answer each question and round your answer to the nearest whole number. 25) Find the distance between Greenwood and Rivertown if they are 3 in apart on a map with a scale of 1 in : 17 mi. 27) A map has a scale of 1 cm : 18 km. If Centerville and Union are 144 km apart then they are how far apart on the map? 29) A model rocket has a scale of 1 cm : 3 m. If the model rocket is 6 cm tall then how tall is the real rocket? 31) A globe that is 2 ft tall casts a shadow that is 4 ft long. Find the height of a baby giraffe that casts a 12 ft shadow. 33) A model giraffe has a scale of 1 in : 2 ft. If the model giraffe is 8 in tall then how tall is the real giraffe? USE PYTHAGOREAN THEOREM TO SOLVE!!
26) A lawn ornament that is 6 ft tall casts a shadow that is 3 ft long. Find the length of the shadow that a 14 ft statue casts. 28) Johnstown and Midway are 7 cm apart on a map that has a scale of 1 cm : 8 km. How far apart are the real cities? 30) A model statue is 5 in wide. If it was built with a scale of 1 in : 2 ft then how wide is the real statue? 32) A 2 ft tall lawn ornament standing next to a statue casts a 1 ft shadow. If the statue casts a shadow that is 7 ft long then how tall is it? 34) A 20 ft tall ladder standing next to a tent casts a 10 ft shadow. If the tent casts a shadow that is 4 ft long then how tall is it?
35)
36) 7.4
4.4 12.9
10.6
37) 4
38) 4.4 6.3 11.9
-1-
Find the slope of the line through each pair of points. 39) (−2, 10), (4, −9) 41) (9, −8), (−16, 13) 43) (10, 1), (−16, −2) 45) (−1, 7), (3, −11) 47) (12, 15), (5, 13) Find the measure of angle b.
40) 42) 44) 46) 48)
49)
50)
(1, 12), (12, 6) (−12, −12), (13, −16) (−4, 13), (11, −8) (18, 7), (18, 6) (3, 4), (4, 14)
b
b
41°
76° 53° 84°
51)
52) 54° 31°
b
31°
b
53)
54) 60°
41°
60° b
b
55)
48°
56) 27° 19° 128°
b
b
71°
57)
58) 52°
b
b
24° 116°
-2-
32°
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