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WorksheetsUnit 2 Test 1 Review
Total questions: 10
Worksheet time: 3hrs 30mins
Rectangle ABCD is reduced to create the similar rectangle WXYZ. What is the scale factor?
Remember: Original × Scale factor(k) = NEW
Rectangle ABCD ~ Rectangle WXYZ
measure of side AB = 18 m
measure of side BC = 12 m
measure of side WX = 12 m
measure of side XY = 8 m
k = 1
k = 2
k = ½
k = ⅔
k = 1.5
Triangle ABC is enlarged to create the similar triangle DEF. What is the scale factor?
Remember: Original × Scale factor(k) = NEW
Triangle ABC ~ Triangle DEF
measure of side AC = 3
measure of side BC = 4
measure of side DF = 6
measure of side EF = 8
k = 2
k = ½
k = 1
k = 4
k = ¾
True or False: This set of ratios is proportional.
5/6 = 25/36
True
False
Find the length of BC, given that the two triangles are similar.
16
17.5
18
20
Mr. Finkelstein has a height of 5'8" (68 inches), and on a sunny day casts a shadow that is 54.4 inches long. Sultan Kösen of Turkey (the world's tallest living man) has a height of 8'3" (99 inches). Standing next to Mr. Finkelstein, how long of a shadow would Sultan Kösen cast on this same day?
123.75 inches
105.55 inches
79.2 inches
85.4 inches
John F. Kennedy, our 35th president, could speak about 350 words per minute. Meanwhile, Sean Wrona (the world's second-fastest typist) can type about 175 words per minute. Kennedy's October 22nd, 1962 address about the Cuban Missile Crisis was about 2,400 words long. How many words of this speech could Sean Wrona type in the time it took Kennedy to deliver it?
1,200 words
4,800 words
13.7 words
6.9 words
A paved path separates two adjacent lots formed by similar rectangles ABCD and EFGH with the given dimensions (see picture) If the path shared by the parks (red) has a length of 100 ft, what is the length of the blue section that lies only on the north edge of EFGH?
150 ft
50 ft
125 ft
100 ft
True OR False: This algebraic representation (x, y)→(3x, 3y) for this dilation shows a scale factor (k) of 3.
True
False
A heptagon (seven-sided polygon) was dilated by a scale factor of ⅗ using the origin as the center of dilation. Which algebraic representation & description matches the movement for the dilation?
(x,y)→(⅗ x, ⅗ y) and the dilation that occurred is a reduction
(x,y)→(⅗ y, ⅗ x) and the dilation that occurred is a reduction
(x,y)→(⅗ x, ⅗y) and the dilation that occurred is an enlargement
(x,y)→(⅗ y, ⅗ x) and the dilation that occurred is an enlargement
True (YES) OR False (NO):
Morgan dilated a figure. She noted the original:new ratio of corresponding sides is 9:3. Morgan calculated the scale factor k for the dilations as 3. Is the scale factor of Morgan's dilated image correct?
Yes
No
