Sergei wants to prove that Triangle A B C is similar to Triangle F G H.

On a coordinate plane, triangle A B C has points (1, 1), (3, 3), (3, 1). Triangle F G H has points (4, 4), (12, 12), (12, 4).
Which would help him prove that? Check all that apply.
Measure angles A and F to show they are congruent.
Measure angles F and G to show they are congruent.
Use the right angle marks to show that angles C and H are congruent.
Use the grid or a ruler to show that A B = F G, B C = F G, and A C = F H.
Use the grid or a ruler to show that StartFraction F G Over A B EndFraction = StartFraction G H Over B C EndFraction = StartFraction F H Over A C EndFraction.

Answer:

Step-by-step explanation:Option (A) and (E) are correct.

We can prove  ΔABC and ΔFGH  are similar by AA criterion or by showing that the  ratio of corresponding sides are equal.

Step-by-step explanation:

Given : two triangles, ΔABC and ΔFGH and we need to prove both are similar to each other.

We have to choose the correct options from the given choices.

Two triangles are said to be similar if their the corresponding sides are in proportion and the corresponding angles are congruent to each other.

that is

also measure ∠A and  ∠F  to show they are congruent as ∠H= ∠C = 90°

This can be observed by looking at the image . So when both triangle are congruent we an show by AA similarity criterion that  ΔABC and ΔFGH  are similar.

Thus, option (A) and (E) are correct.

We can prove  ΔABC and ΔFGH  are similar by AA criterion or by showing that the  ratio of corresponding sides are equal.

Answer:

a. c. e.

Step-by-step explanation:

edge 2023

Help me out please? tysmm

I only need to answer the first one, but I need you to tell me if the others are correct or incorrect, if they are incorrect please help me.

Rotation of 90 degrees counter clockwise of point A (7, 4).
Quadrant of given point: 1
Coordinates after the switch: 4, 7
Quadrant after rotation:
New coordinates after rotation:

Rotation of 180 degrees of point B at (-8, -2).
Quadrant of given point: 3
Quadrant after rotation: 1
New coordinates after rotation: 8, 2

Rotation of 270 degrees clockwise around the origin of point C at (9, -5).
Quadrant of given point: 4
Coordinates after the switch: 5, 9
Quadrant after rotation: 1
New coordinates after rotation: 5. 9

Rotation of 90 degrees clockwise around the origin of point D at (-6, -11).
Quadrant of given point: 3
Coordinates after the switch: 11, 6
Quadrant after the rotation: 2
New coordinates after rotation: -11, 6

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