University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2022
Views:

259

Pages:

2
Author:

fynegafn8ps

Geometry/Trig Name: ______________________________ Unit 6: Practice Q1 Date: ______________ Period: _________ “PRACTICE” QUIZ 1… Ratio, Proportions, and Similar Polygons Part 1: Ratio and Proportions. No decimal answers accepted. _________________________1) Solve for 𝑥: 5 12  x  7 3 x  11 _________________________2) Solve for 𝑥: x3 8  3 x 2 _________________________3) Solve for 𝑥: x2 x3  2 2x 3x _________________________4) What is the geometric mean between 2 and 32? _________________________5) What is the geometric mean between 10 and 5? _________________________6) The geometric mean of two numbers is 6. One of the numbers is 9, what is the other? Part 2: Applications of Proportions. Decimal answers will be accepted. Round to the nearest hundredth. _________________________7) The ratio of the measures of the angles of a quadrilateral is 12: 17: 19: 24. What is the measure of the largest angle in the quadrilateral? _________________________8a) The ratio of the length to the width in a rectangle is 9: 5 and the perimeter of the rectangle is 196 feet. _________________________8b) a) Find the length of the rectangle. b) Find the width of the rectangle. c) Find the length of the rectangle’s diagonal. _________________________8c) _________________________9) On a map of Pennsylvania, 6 inches represents 25 miles. If Doylestown, Ohio is 418 miles from Doylestown, PA, how many inches would represent this distance on the map? _________________________10) If the exchange rate for a U.S. dollar to a Euro is $1 per 0.7866 Euros. How much would a Fiat cost in Euros if its price in U.S. dollars is $42,765? _________________________11a) A line segment is divided into two segments that are in the ratio 3: 5. The measure of one segment is 58 centimeters less than the measure of the other. a) Find the shorter segment. _________________________11b) _________________________11c) b) Find the longer segment. c) Find the whole segment. Part 3: Ratios. Given: ̅̅̅̅ 𝐴𝐷 is a median and an altitude of ∆𝐴𝐵𝐶. Reduce your answers to lowest terms. _________________________12) Find the ratio of 𝐵𝐷 to 𝐷𝐶. _________________________13) Find the ratio of 𝐷𝐶 to 𝐵𝐶. _________________________14) If 𝐴𝐷 = 22 and 𝐷𝐶 = 48, find the ratio of 𝐴𝐷 to 𝐵𝐶. _________________________15) If 𝐴𝐶 = 156 and 𝐵𝐶 = 156, find the ratio of 𝐴𝐶 to 𝐵𝐷. _________________________16) If ∆𝐴𝐵𝐶 is equilateral, find the ratio of 𝑚∠𝐴𝐷𝐶 and 𝑚∠𝐶𝐴𝐷. Part 4: Similar Polygons. Determine if the following figures are similar. If they are, (a) write a similarity statement and (b) give the similarity ratio. If they are not, put “not similar” for both. 18) 17) _________________________17a) _________________________17b) _________________________18a) _________________________18b) Part 5: Multiple-Choice. _____________19) Square 𝐾𝐿𝑀𝑁 is similar to square 𝑇𝑈𝑉𝑊. If the perimeter of square 𝐾𝐿𝑀𝑁 is 32 units, and square 𝑇𝑈𝑉𝑊 has side lengths of 16, what is the perimeter of square 𝑇𝑈𝑉𝑊? A) 128 _____________20) B) 64 C) 96 ̅̅̅ ? Triangle 𝐹𝐺𝐻 is similar to triangle 𝑅𝑆𝑇. What is the length of ̅𝑇𝑆 1 A) 13 2 B) 24 2 3 D) 25 C) 22 1 2 D) 40