1 / 18

Geometry Warm Ups

Geometry Warm Ups. Week of February 11-15. DFA Review. This our last week of preparing for the DFA. Please make sure you understand these concepts. There will be a quiz on Friday. Monday #1. Solve the following equation for x: 5x - 3 = 3x + 9 -3x +3 2x = 12

shana-noble
Download Presentation

Geometry Warm Ups

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry Warm Ups Week of February 11-15

  2. DFA Review • This our last week of preparing for the DFA. • Please make sure you understand these concepts. • There will be a quiz on Friday.

  3. Monday #1 Solve the following equation for x: 5x - 3 = 3x + 9 -3x +3 2x = 12 x = 6

  4. Monday #2 • bisects Find the value of x. A bisector is something that cuts another thing in half, creating two congruent parts. So here, 30 = 5x. It’s easy to see that x = 6.

  5. Monday #3 • In the figure bisects If m and m, what is the measure of ABD? With this bisector, the angles are congruent. So 6x + 8 = 8x – 2. Solving for x +2 -6x 10 = 2x 5 = x

  6. Use your calculator! Tuesday #1 • Which equation shown below is a line that passes through the point (1, 7)? • y = 5x – 4 • y = 5x + 2 • y = 5x – 3 Substitute 1 for x into each choice, only one will give 7 as the answer, which is y.

  7. Use your calculator! Tuesday #2 • Which equation shown below is a line that passes through the point (2, -3) and is parallel to the line whose equation is 10x – 5y = 4? • y = 2x – 7 • y = 2x– 3 • y = 2x + 2 Is this part even necessary? Substitute 2 for x into each, only one will give -3 as the answer. No, each choice has a slope of 2.

  8. Tuesday #3 • Which equation represents a line that is parallel to the line whose equation is 18x – 3y = 6 and passes through the point (7, 12)? • y = 6x + 7 • y = 6x – 6 • y = 6x – 12 • y = 6x – 30 Since each choice has the exact same slope, there is no need to figure out the slope of the given equation. Just substitute 7 for x into each choice, only D gives the correct answer of 12.

  9. Wednesday/Thursday #1 • What is the midpoint of ? One way to do this is to put the coordinates into the Midpoint Formula, listed on the math formula chart. An easier alternative is to use the slope. From point A to B, you have to go up 4 and to the left 6. Just go halfway and you will locate the midpoint.

  10. Wednesday/Thursday #2 • M is the midpoint of . What are the coordinates of B? To find the other endpoint, figure out to get from A to M. Repeat that from M to find B…another application of slope.

  11. Wednesday/Thursday #3 • M is the midpoint of . If the coordinates of A are (-2, 4) and the coordinates of M are (-3, 1), what are the coordinates of B? Very similar to the last question but in order to save time on drawing a grid and plotting points… Draw a small segment and label one end with A and the middle with M. Figure out how the numbers changed and repeat that process…just like a transformation. A (-2, 4) M(-3, 1) B(-4, -2)

  12. Wednesday/Thursday #4 • Line l and line m are perpendicular. If the slope of line l is ¼, what is the slope of line m? • Line p and line q are parallel. If the slope of line p is 1/3, what is the slope of line q? Perpendicular lines have slope that are opposite reciprocals; their product is -1 so the answer here is -4 Parallel lines have the same slope so the answer here would be 1/3

  13. Wednesday/Thursday #5 • Rectangle ABCD is shown below. If the slope of is ¼, what is the slope of ? Rectangles have 4 right angles and perpendicular sides. This means the slope of CD would be ¼ and for extra credit, the slopes of AD and BC would be -4. Extra Note: The product of the slope of perpendicular lines has to be -1.

  14. Wednesday/Thursday #6 • In rectangle ABCD, the slope of is . What is the slope of ? Very Important: The letters of a figure must go in one order…clockwise or counterclockwise and it does not matter where you start. This way you get the right slope. The answer is 2/3. A B D C

  15. Friday – Quiz #1 • In the figure bisects If m and m, what is the measure of ABD?

  16. Friday – Quiz #2 • Which equation represents a line that is parallel to the line whose equation is 12x – 4y = 6 and passes through the point (-3, -1)? • y = 3x + 8 • y = 3x – 6 • y = 3x – 1 • y = 3x – 3

  17. Friday – Quiz #3 • M is the midpoint of . If the coordinates of A are (-4, -3) and the coordinates of M are (-3, 1), what are the coordinates of B?

  18. Friday – Quiz #4 • In rectangle WXYZ, the slope of is 1/5. What is the slope of ?

More Related