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Given the figure below. If AXYZ R (ARST) R 4.3 cm. /60⁰ T 65° 4.8 cm. 4.6 cm. 55° match the correct measurement with the side or angle of AXYZ. 4.6 cm

Given the figure below. If AXYZ R (ARST) R 4.3 cm. /60⁰ T 65° 4.8 cm. 4.6 cm. 55° match the correct measurement with the side or angle of AXYZ. 4.6 cm

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 presents an exercise to match the correct measurement with the side or angle of triangle XYZ, given that triangle XYZ is similar to triangle RST. The task is to identify which measurements correspond to the sides and angles of triangle XYZ. On the left, the following elements are listed, representing sides and angles of triangle XYZ: - XY - YZ - XZ - \( m \angle X \) - \( m \angle Y \) - \( m \angle Z \) On the right, the respective measurements are provided: - a. 4.6 cm - b. 65° - c. 4.8 cm - d. 4.3 cm - e. 60° - f. 55° The objective is to pair each side and angle of triangle XYZ with the correct measurement from the list provided.
Transcribed Image Text:The image presents an exercise to match the correct measurement with the side or angle of triangle XYZ, given that triangle XYZ is similar to triangle RST. The task is to identify which measurements correspond to the sides and angles of triangle XYZ. On the left, the following elements are listed, representing sides and angles of triangle XYZ: - XY - YZ - XZ - \( m \angle X \) - \( m \angle Y \) - \( m \angle Z \) On the right, the respective measurements are provided: - a. 4.6 cm - b. 65° - c. 4.8 cm - d. 4.3 cm - e. 60° - f. 55° The objective is to pair each side and angle of triangle XYZ with the correct measurement from the list provided.
### Educational Content on Triangle Properties #### Given the Figure The image displays a triangle labeled \( \triangle RST \) with the following details: - **Sides**: - \( RT = 4.3 \, \text{cm} \) - \( TS = 4.6 \, \text{cm} \) - \( RS = 4.8 \, \text{cm} \) - **Angles**: - \( \angle R = 60^\circ \) - \( \angle T = 65^\circ \) - \( \angle S = 55^\circ \) Below the triangle, a line labeled \( \ell \) is drawn horizontally, representing a reference or baseline. #### Instruction The task is to match the correct measurement with the side or angle of \( \triangle XYZ \), given that \( \triangle XYZ = R_f(\triangle RST) \). - **Matching Options**: - **XY** - **a. 4.6 cm** This involves determining the corresponding side or angle in \( \triangle XYZ \) using the properties of triangle congruence or similarity, depending on the transformation \( R_f \).
Transcribed Image Text:### Educational Content on Triangle Properties #### Given the Figure The image displays a triangle labeled \( \triangle RST \) with the following details: - **Sides**: - \( RT = 4.3 \, \text{cm} \) - \( TS = 4.6 \, \text{cm} \) - \( RS = 4.8 \, \text{cm} \) - **Angles**: - \( \angle R = 60^\circ \) - \( \angle T = 65^\circ \) - \( \angle S = 55^\circ \) Below the triangle, a line labeled \( \ell \) is drawn horizontally, representing a reference or baseline. #### Instruction The task is to match the correct measurement with the side or angle of \( \triangle XYZ \), given that \( \triangle XYZ = R_f(\triangle RST) \). - **Matching Options**: - **XY** - **a. 4.6 cm** This involves determining the corresponding side or angle in \( \triangle XYZ \) using the properties of triangle congruence or similarity, depending on the transformation \( R_f \).
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