Answer: Options 1, 3, 5
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.
- Option 1 has a slope of -3.
- Option 2 has a slope of 3.
- Option 3 has a slope of -3.
- Option 4 has a slope of 1/3.
- If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.
When you translate something in geometry, you're simply moving it around. You don't distort it in any way. If you translate a segment, it remains a segment, and its length doesn't change. Similarly, if you translate an angle, the measure of the angle doesn't change.
It's 192, I'm pretty sure. I hope that you get this right! :^)
Formula: length · width
2 big rectangles:96 + 96 = 192
(12 × 8) · 2
2 smaller rectangles: 72 + 72 = 144
(6 × 12) · 2
2 small rectangles: 48 + 48 = 96
(6 × 8) · 2
Add all 3 numbers:
192 + 144 + 96 = 432
Your answer is D. 432 cm²
Hope this helps :)
