Transformation
The rule that uses addition and subtraction
What is Translation?
Student walks 7 blocks north away from his home, then goes east for 6 blocks to the store. The student wants to go the most direct path back home. What is the distance that the student will travel?
(*Round to the nearest tenth)
What is 9.2 blocks?
Mr. Liesman walked 1.7 miles east from the library to the grocery store, and then .9 miles south back to his house. What would have been the distance if Mr. Liesman went directly to his home? (round to the nearest tenth)
1.9 miles
Remember to add after you have squared 1.72+.92=c2. Once you have added them together you need to take the square root of c2.
Mr. Lyon was working on creating a triangle out of wood. He need to know if the wood already had a 90 degree angle and he cut so another angle was 40 degrees. How many degree did the last angle have?
50 degrees
90+40+x=180
I have line k that parallels to line L, and line t intersects lines k and L. Line t intersects such that it creates alternate exterior angles that equal 113 degrees. What is the same side exterior angle measure?
67 degrees
113+x=180
The rule that turns the pre-image 90 degrees counterclockwise
What is (-y,x)?
What is the formula for Pythagorean Theorem?
What is a2+b2=c2?
The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches? Round to the nearest tenth.
13.9 in.
a2+b2=c2
Mr. Brown wanted to know the adjacent angle to 155. How could you explain how to find his missing angle?
A line has 180 degrees. You know that this angle is 155.
x+155=180
I have line k that parallels to line L, and line t intersects lines k and L. Line t intersects such that it creates alternate exterior angles that equal 113 degrees. How many angles will measure 113 degrees?
4 angles will measure 113 degrees.
Alternate Exterior=2
Alternate Interior=2
2+2=4
The reflection of A(-3, 4) over the x-axis
What is A'(-3,-4)?
The following triangle has a leg length of 8 and another leg that is 5.
McFadden worked out the problem 52+b2=82. He found that b=6.2.
Liesman worked the same problem and found that c=9.4.
Who is right? Who made the mistake? Where was the mistake, explain in one sentence?
Liesman was correct. McFadden made the mistake. McFadden made 8 the hypotenuse, instead of the leg, and then used c2-a2=b2.
The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground. The pole is 26 ft tall and the stake is 19.5 ft away from the pole. How much rope will he need?
32.5 Feet
a2+b2=c2
Mrs. Boom was checking over a Mr. Lyons' work and noticed that his triangles angles measured 120, 50, and 20. Did Mrs. Boom find a mistake if so explain.
yes, the "triangle" is greater than 180 degrees.
I have line k that parallels to line L, and line t intersects lines k and L. Line t intersects such that it creates alternate exterior angles that equal 127 degrees. Which angle would be congruent?
Alternate exterior angle would be congruent. Alternate saying opposite, exterior saying outside. It is the same angle just on the other side.
The point B(4,-5) is dilated by scale factor of 4
What is B'(16,-20)?
I was wanting to buy a New 65" 4k Smart TV but only had wall space with height of 35 in. and forgot the length across. What is the minimum length I need to have in order to buy my new tv? (Round to the nearest tenth)
What is 54.8 inches in length? 65" is diagonally and 35 is the vertical leg. C and B have been given, you are finding A.
A right triangle has a leg that is 12cm and a hypotenuse that is 39 cm. What is the length of the missing leg?
37.1
a2+b2=c2
Remember you are looking for a leg, you must subtract from c2.
If I'm given the non-adjacent interior angles of a triangle of 45 and 60. What would be the exterior angle?
105 degrees because 45+60= 105. I'm going to add my non-adjacent interior angles together and those will equal my exterior angle.
90 degrees. Perpendicular creates right angles.
The point C( -3, 9) is dilated by a scale factor of 1/3
What is C'(-1,3)?
When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Show algebraically why this is true.
a2+b2=c2. We are combining the area of the two smaller squares to have it equal the larger square.
A homeowner was needing to put in a ramp for his mother. The height of the ramp would be 3 ft to meet the door frame. The distance from the door is 9 ft. What would the ramp length be?
9.5 ft.
a2+b2=c2
If I'm given the non-adjacent interior angles of a triangle of 45 and 60. What would be the last interior angle?
75 degrees
x+45+60=180
or
180-(45+60)=x
I have line k that parallels to line L, and line t intersects lines k and L. Line t intersects such that it creates alternate exterior angles that equal 113 degrees. What is the same side adjacent interior angle measure?
67 degrees
x+113=180
Same side (Same side), next to (adjacent), inside (interior)