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1. Are any of these triangles similar? Explain how you know. 60 12 ft 60 45 6 ft 8.5 ft 6 t 5.2t 30 45° 30 10.4 ft 6ft

1. Are any of these triangles similar? Explain how you know. 60 12 ft 60 45 6 ft 8.5 ft 6 t 5.2t 30 45° 30 10.4 ft 6ft

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The image contains a series of mathematical problems related to similar figures, specifically triangles and trapezoids. **Triangles:** 1. **Problem 1:** - Determine if the given triangles are similar. - **Triangle QRS:** - Angles: \( \angle Q = 60^\circ, \angle R = 90^\circ, \angle S = 30^\circ \) - Sides: \( QR = 6 \, \text{ft}, RS = 10.4 \, \text{ft}, QS = 12 \, \text{ft} \) - **Triangle VTW:** - Angles: \( \angle V = 45^\circ, \angle T = 90^\circ, \angle W = 45^\circ \) - Sides: \( VT = 8.5 \, \text{ft}, TW = 6 \, \text{ft}, VW = 8.5 \, \text{ft} \) - **Triangle XYZ:** - Angles: \( \angle Y = 60^\circ, \angle Z = 90^\circ, \angle X = 30^\circ \) - Sides: \( XY = 3 \, \text{in}, YZ = 5.2 \, \text{in}, XZ = 6 \, \text{in} \) **Word Problems:** 6. Erik is drawing a picture of his school’s basketball court. The actual basketball court is 84 ft long and 50 ft wide. If Erik draws the court with a length of 21 in., what will be the width? 7. The Henry Ford Museum in Dearborn, Michigan, hosts a theater with one of the world’s largest screens, measuring 60 ft by 84 ft. If a classroom projection screen were to be in direct proportion with the screen at the Henry Ford Museum, and have a height of 5 ft, what would be the width? **Trapezoids (Similar Figures):** - Find the measures of the missing sides. 8. Trapezoids with sides: - First trapezoid: \( 26, 20, 20, 10 \) - Second trapezoid: \( x, 30, w \) 9. Trapezoids with sides: - First trapezo
Transcribed Image Text:The image contains a series of mathematical problems related to similar figures, specifically triangles and trapezoids. **Triangles:** 1. **Problem 1:** - Determine if the given triangles are similar. - **Triangle QRS:** - Angles: \( \angle Q = 60^\circ, \angle R = 90^\circ, \angle S = 30^\circ \) - Sides: \( QR = 6 \, \text{ft}, RS = 10.4 \, \text{ft}, QS = 12 \, \text{ft} \) - **Triangle VTW:** - Angles: \( \angle V = 45^\circ, \angle T = 90^\circ, \angle W = 45^\circ \) - Sides: \( VT = 8.5 \, \text{ft}, TW = 6 \, \text{ft}, VW = 8.5 \, \text{ft} \) - **Triangle XYZ:** - Angles: \( \angle Y = 60^\circ, \angle Z = 90^\circ, \angle X = 30^\circ \) - Sides: \( XY = 3 \, \text{in}, YZ = 5.2 \, \text{in}, XZ = 6 \, \text{in} \) **Word Problems:** 6. Erik is drawing a picture of his school’s basketball court. The actual basketball court is 84 ft long and 50 ft wide. If Erik draws the court with a length of 21 in., what will be the width? 7. The Henry Ford Museum in Dearborn, Michigan, hosts a theater with one of the world’s largest screens, measuring 60 ft by 84 ft. If a classroom projection screen were to be in direct proportion with the screen at the Henry Ford Museum, and have a height of 5 ft, what would be the width? **Trapezoids (Similar Figures):** - Find the measures of the missing sides. 8. Trapezoids with sides: - First trapezoid: \( 26, 20, 20, 10 \) - Second trapezoid: \( x, 30, w \) 9. Trapezoids with sides: - First trapezo
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