Lesson 4-3: Similar Triangles and Slope — Practice Questions

1. 1. Are the lines $y = -3x + 7$ and $y = -3x - 2$ parallel, perpendicular, or neither?

   • A. Parallel
   • B. Perpendicular
   • C. Neither

2. 2. Are the lines $y = 4x - 1$ and $y = -\frac{1}{4}x + 5$ parallel, perpendicular, or neither?

   • A. Parallel
   • B. Perpendicular
   • C. Neither

3. 3. Are the lines $3x - 5y = 10$ and $6x - 10y = 3$ parallel, perpendicular, or neither?

   • A. Parallel
   • B. Perpendicular
   • C. Neither

4. 4. Which equation represents a line parallel to $3x + 4y = 8$ that passes through the point $(2, 1)$?

   • A. $3x + 4y = 10$
   • B. $4x - 3y = 5$
   • C. $3x + 4y = 6$
   • D. $3x - 4y = 2$

5. 5. The slope of a line perpendicular to $y = 5x - 3$ is ___.

6. 6. Which statement best describes two similar figures?

   • A. Their corresponding angles are equal, and their corresponding sides are proportional.
   • B. Their corresponding sides are equal.
   • C. Their corresponding angles are equal, but their side lengths are not related.
   • D. They have the same area.

7. 7. A rectangle has sides of 5 cm and 10 cm. A larger, similar rectangle has a shorter side of 15 cm. The length of its longer side is ___ cm.

8. 8. A rectangle with sides 2 m and 5 m is compared to a rectangle with sides 6 m and 12 m. Are the two rectangles similar?

   • A. Yes, because their corresponding angles are all 90 degrees.
   • B. No, because the ratio of corresponding sides is not the same.
   • C. Yes, because one pair of sides is proportional.
   • D. No, because their areas are different.

9. 9. A right triangle has legs of 5 ft and 12 ft. If it is enlarged by a scale factor of 3 to create a new similar triangle, the length of the shorter leg in the new triangle is ___ ft.

10. 10. A map is reduced using a photocopier, creating a smaller, similar image. Which property of the original map is preserved in the smaller copy?

    • A. The side lengths
    • B. The area
    • C. The angle measures
    • D. The perimeter