Question

1. two lines that never meet and are always the same distance apart are * 1 point called:

a. intersecting lines
b. parallel lines
c. perpendicular lines
d. skew lines

1. a triangle has sides 3 cm, 4 cm, and 5 cm. its area is: * 1 point

a. 6 cm²
b. 12 cm²
c. 7.5 cm²
d. 5 cm²

Explanation:

Step1: Recall line - type definitions

Intersecting lines meet at a point. Perpendicular lines are a special case of intersecting lines that meet at a 90 - degree angle. Skew lines are non - coplanar and do not intersect. Parallel lines never meet and are always the same distance apart.

Step2: Recall triangle area formula for right - angled triangle

A triangle with sides 3 cm, 4 cm, and 5 cm is a right - angled triangle (since \(3^{2}+4^{2}=5^{2}\)). The area of a right - angled triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base can be 3 cm and the height can be 4 cm. Then \(A = \frac{1}{2}\times3\times4=6\ cm^{2}\).

Answer:

1. B. Parallel lines
2. A. \(6\ cm^{2}\)