Put the steps for accurately drawing triangle XYZ in the correct order.

Question

Put the steps for accurately drawing triangle XYZ in the correct order.

Asked on March 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-03-26T15:16:53.971Z

To accurately draw triangle XYZ with $XY = 10$ cm, angle $YXZ = 40^\circ$, and angle $XYZ = 60^\circ$, follow these steps: Step 1: Draw the base side. The first step is to draw the side XY with a length of $10$ cm. This corresponds to option C: "Draw side XY." Step 2: Measure the first angle. Next, place the protractor at one end of the line segment XY to measure the first angle. Let's start with angle $YXZ = 40^\circ$ at point X. This corresponds to option E: "Put the centre of the protractor on X. Mark $40^\circ$ from XY." Step 3: Draw the line for the first angle. Draw a line from point X through the $40^\circ$ mark. This forms one side of the angle. This corresponds to option A: "Draw a line from X through your $40^\circ$ mark." Step 4: Measure the second angle. Now, place the protractor at the other end of the line segment XY, which is point Y, to measure angle $XYZ = 60^\circ$. This corresponds to option D: "Put the centre of the protractor on Y. Mark $60^\circ$ from XY." Step 5: Draw the line for the second angle to complete the triangle. Draw a line from point Y through the $60^\circ$ mark. This line will intersect the line drawn from X, forming the third vertex Z and completing the triangle. This corresponds to option B: "Draw a line from Y through your $60^\circ$ mark to form the triangle." The correct order of steps is C, E, A, D, B.

Accepted Answer · 2026-03-26T15:16:53.971Z

To accurately draw triangle XYZ with $XY = 10$ cm, angle $YXZ = 40^\circ$, and angle $XYZ = 60^\circ$, follow these steps: Step 1: Draw the base side. The first step is to draw the side XY with a length of $10$ cm. This corresponds to option C: "Draw side XY." Step 2: Measure the first angle. Next, place the protractor at one end of the line segment XY to measure the first angle. Let's start with angle $YXZ = 40^\circ$ at point X. This corresponds to option E: "Put the centre of the protractor on X. Mark $40^\circ$ from XY." Step 3: Draw the line for the first angle. Draw a line from point X through the $40^\circ$ mark. This forms one side of the angle. This corresponds to option A: "Draw a line from X through your $40^\circ$ mark." Step 4: Measure the second angle. Now, place the protractor at the other end of the line segment XY, which is point Y, to measure angle $XYZ = 60^\circ$. This corresponds to option D: "Put the centre of the protractor on Y. Mark $60^\circ$ from XY." Step 5: Draw the line for the second angle to complete the triangle. Draw a line from point Y through the $60^\circ$ mark. This line will intersect the line drawn from X, forming the third vertex Z and completing the triangle. This corresponds to option B: "Draw a line from Y through your $60^\circ$ mark to form the triangle." The correct order of steps is C, E, A, D, B.