Chapter 3 Super MAXIMUM Power Remix #80698

Question 1

An Original Figure being transformed is called a ______

Answer 1

preimage

Question 2

After an image has been transformed it is called ______

Answer 2

an image

Question 3

What are Rigid Transformations?

Answer 3

Transformations that result in both images being congruent.
Examples: Rotations, Reflections etc.

Question 4

What are the three types of Rigid Transformations?

Answer 4

1. Translations
2. Reflections
3. Rotations
   (TRR)

Question 5

What are Non Rigid Transformations?

Answer 5

Transformations that result in the image being different than the pre-image. (Not Congruent)
Example: Horizontal Stretch

Question 6

What is the exception to the Rigid Transformation rule?

Answer 6

If a scale factor of a change (stretch, compression, or dilation) is 1, then no change is made to the pre-image making both triangles congruent.

Question 7

What does a 90° clockwise degree rotation do?

Answer 7

The order of coordinates switches and the new y-coordinates change sign.
T(a , b) = T(b, -a)
Also equal to to 270° counterclockwise.

Question 8

What does 180° rotation do?

Answer 8

Keep the order of coordinates, but switch the sign.
T(a , b) = T(-a , -b)
(This is the same for a clockwise or counterclockwise rotation)

Question 9

What does a 270° clockwise rotation do?

Answer 9

It switches the order of the coordinates and the new x switches signs.
T(a , b) = T(-b , a)

Question 10

What does a 360° rotation do?

Answer 10

THERE IS NO CHANGE NO DIFFERENCE iN ThE CoORDiNaTES

Question 11

What is a Scalene Triangle?

Answer 11

A Scalene Triangle is a triangle with sides that each have a different length. (Has no congruent sides)

Question 12

What are the two rules of Scalene Triangles?

Answer 12

1. The opposite side of the smallest angle will always be the smallest side.
2. The opposite side of the biggest angle will be the longest side.

Question 13

What you should you always remember about triangles’ angles?

Answer 13

All of them added together equal 180°!

Question 14

What are Equilateral Triangles?

Answer 14

Triangles that all have the same side lengths.
(All sides are congruent, all angles are congruent with 60°)

Question 15

What is an Isosceles Triangle

Answer 15

A Triangle that has two sides that are the same length
(Two sides are congruent.)

Question 16

What does the Triangle Inequality Theorem state?

Answer 16

The Triangle Inequality Theorem states that the sum of the length of any two sides of a triangle must add up to be greater than the longest side’s distance.

Question 17

How do you find the possible lengths of a triangle.

Answer 17

1. Imagine x as the longest side of the triangle.
   a + b > c
2. Imaging x as the shortest side of the triangle.
   a + c > b

Question 18

What are the two laws of the ASA Criterion for Congruent Triangles?

Answer 18

The ASA Criterion for Congruent Triangles states that two triangles are congruent if:
- Two Angles Measurements are the same as the corresponding angles in the other triangle.
- The side between those angles has the same length as the other side between the corresponding angles.

Question 19

What are the two laws of the SAS Criterion for Congruent Triangles?

Answer 19

The SAS Criterion for Congruent Triangles states that two triangles are congruent if:
- Two sides of each triangle has the same length as their match on the other triangle.
- The angle between the sides is the same in both triangles.

Question 20

What is the HL Criterion for Congruent Angles?

Answer 20

A theorem that proves that Right Angles are congruent.
- Requires the hypotenuse and a leg
- Can only be used for right angles.

Question 21

According to the HL Criterion for Congruent Angles two triangles are congruent if:

Answer 21

• Both Hypotenuses’ lengths are the same.
• The selected leg is the same.
• Both angles are right (90°)