Question

question 11 (multiple choice worth 1 points)
(02 03r mc)

triangle lmn has coordinates l (0, 0), m (0, -2), and n (2, 0). if δlmn ≅ δxyz, what is the measure of xz?
1 unit
2 units
3 units
4 units

Explanation:

Step1: Calculate the length of \(LN\)

Use the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For points \(L(0,0)\) and \(N(2,0)\), \(x_1 = 0,y_1 = 0,x_2=2,y_2 = 0\).

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Step2: Use the property of congruent triangles

Since \(\triangle LMN\cong\triangle XYZ\), corresponding sides are equal. \(XZ\) corresponds to \(LN\).

Answer:

\(2\) units (corresponds to the second option in the multiple - choice list)