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OLga [1]
3 years ago
7

How you could use paper folding to construct the bisector of an angle

Mathematics
1 answer:
user100 [1]3 years ago
8 0
<span>This really works well with wax paper. It is transparent and it leaves a visible white line on the crease. For the perpendicular bisector of a line segment, fold the endpoints of the line segment onto each other. The crease is the perpendicular bisector. This of course also gives you the midpoint, because that is where the perpendicular bisector intersects the line segment. For an angle bisector, put the crease through the vertex of the angle and lay the sides of the angle over top of each other. The crease is the angle bisecto



</span>
You might be interested in
What is the measure of angle 5 if the measure of angle 2 is 37 degrees and the measure of angle 3 is 72 degrees
ahrayia [7]

Answer:

160 is a whole angle so 37+72=109                             160-109=51

51 is your answer

Step-by-step explanation:

7 0
2 years ago
CAN SOMEONE GIVE ME THE REAL ASNWER TO THIS IM IN A RUSH
rosijanka [135]

Answer:

145 degrees

Explanation:

A straight line is 180 degrees so minus 180 by 35 to get 145 degrees.

8 0
2 years ago
Read 2 more answers
Which expression is equivalent to 15x – 2(3x + 6)?
lakkis [162]

Answer:

35x+12

Step-by-step explanation:

1. You combine like terms. (15x *3x=35x)

2.You Multiply other terms (2*6= 12)

3. Answer: 35x+12

5 0
3 years ago
Is (-8,1), (-5,1) endpoints of a vertical line, a horizontal line, or neither?
oee [108]
It can be both because there are diffrent sizes
3 0
3 years ago
Can someone help me with this? Please this would mean so much.
Paha777 [63]

Answers:

x = angle MLN = 35 degrees

angle FLJ = 55 degrees

=================================================

Explanation:

This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.

From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.

Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.

In short: angle FAL is 55 degrees

----------------------

Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.

Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.

It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.

----------------------

We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.

Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.

Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35

In short, angle MLN = 35 degrees

Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.

------------------------

As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...

(angle FLJ)+(angle FLM) + (angle MLN) = 180

55 + 90 + angle MLN = 180

145 + angle MLN = 180

angle MLN = 180 - 145

angle MLN = 35 degrees

7 0
2 years ago
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