Question

What are the answers for 123456 25 points

Answer 1

1)The sum of angles in a triangle is 180°

To find the value of x, we sum all the angles in the triangle and equate to 180°.

`x + 37 + 36 = 180`

`x + 73 = 180`

Subtract 73 from both sides

`x = 180 - 73`

`x = 107 \degree`

Therefore the triangle is obtuse.

Answer: C) 107°, obtuse

2) To find the rule of the transformation, we analyze the coordinates of the preimage and the image

`(3,-5)\to(3-1,-5-3)\to (2,-8)`

`(5,1)\to(5-1,1-3)\to (4,-2)`

`(1,3)\to(1-1,3-3)\to (0,0)`

`( - 1,1)\to( - 1-1,1-3)\to ( - 2,-2)`

`( - 1,-4)\to( - 1-1,-4-3)\to ( - 2,-7)`

So we can see that, each time 1 is subtracted from the first coordinate and 3 is subtracted from the second coordinates to get the image coordinates.

Therefore the rule is:

`(x,y)\to(x-1,y-3)`

Answer: D

3) The given angle is 58°.

Since translation is a rigid motion, the preimage and the image of the angle are congruent.

Therefore the Translated angle measures 58°, because translation preserves angle measure.

The correct answer is C.

Answer: C

4)

4) By vertical angles theorem, <4 is congruent to <6.

<4 and <2 are congruent by corresponding angles property.

<4 and <8 are congruent by alternate interior angles property.

The <7 is not congruent to <4

Answer:C

5) The rule for 90° clockwise rotation about the origin is

`(x,y)\to (y,-x)`

The vertex W of the square has coordinates W(1,5)

After a rotation of 90° clockwise about the origin, the image will be:

`W(1,5)\to \: W'(5,-1)`

Answer:A

6) The given point is (11,1).

When we translate 10 units down, the new coordinates will be (11,1-10)=(11,-9)

When we reflect over x-axis, we get:

(11,--9)=(11,9). because we negate the y-coordinate.

Answer:A