Final Day 3 Triangle Congruency and Transformations

Final Day 3 Triangle Congruency and Transformations

Write this down! We can prove Triangles are congruent by using the following:

• SSS or Side Side Side

• ASA or Angle Side Angle (where the side is included between the Angles)

• AAS or Angle Angle Side (where the side is not included between the angles)

• SAS or Side Angle Side (Where the angle is included between the sides)

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• AAS
• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• ASA
• AAS
• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SAS
• ASA
• AAS
• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• ASA

• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• ASA

• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• AAS

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SAS

• ASA

• AAS

• Not Possible

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SAS

• ASA

• AAS

• Not Possible

Write this down: Quadrilaterals and Triangles inscribed in a circle

• angles in a quadrilateral will add up to 360 degrees

• angles across from each other will add up to 180 degrees (inscribed plus inscribed will equal half of a full circle)

• Triangles inscribed in a circle add up to 180 degrees for the sum of the interior angles of that triangle

• Triangles inscribed in a circle with one side as a diameter will form a right triangle

Multiple Choice

Find the measure of angle FGH

• $45\degree$

• $180\degree$

• $90\degree$

• $75\degree$

Multiple Choice

Angle R is right because

• the triangles is circumscribed and SQ is a radius

• the triangles is inscribed and SQ is a radius

• the triangles is inscribed and SQ is a diameter

• triangle QRS is inscribed

Multiple Choice

The measure of arc XW is

• 45

  
  

  ^

• 90

• 135

• 67.5

Multiple Choice

In ABCQ, opposite angles are

• congruent

• supplementary

• complementary

• add to 360^o

Multiple Choice

In ABCQ, opposite angles are

• congruent

• supplementary

• complementary

• add to 360^o

Multiple Choice

Solve for x.

• 90

• 12

• 47

• 45

Multiple Choice

What is the measure of angle A?

• 34°

• 180°

• 112°

• 79°

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Write this down:

• A translation to the right or left will add or subtract the same value from each x

• A translation up or down will add or subtract the same value from each y

• A rotation of 90 degrees will switch the x and y values. If you are rotating counterclockwise 90 degrees, this change will be (a,b) becomes (-b,a). If the change is 90 degrees clockwise, the change is (a,b) becomes (b,-a) 180 degrees is (a,b) becomes (-b,-a) (- meaning opposite of the original value)

Write this down:

• A reflection across the x axis means the y value becomes the opposite y

• A reflection across the y axis means the x value becomes the opposite x

• A dilation occurs when both the x and y when both the x and y are either multiplied or divided by the same variable "k"

Multiple Choice

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

Identify the transformation performed

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

What is this picture an example of?

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o counter clockwise rotation

Multiple Choice

Find K' if the figure is reflected across the x-axis

• (4, 1))

• (-1, -4)

• (1, -4)

• (1, 4)

Multiple Choice

What axis is the image reflected over?

• X-axis

• Y-axis

Multiple Choice

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8

• up 9, left 4

• down 3, right 8

• down 9, right 4

Multiple Choice

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Multiple Choice

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

Multiple Choice

Which of the following images shows a rotation of 180^o?

Multiple Choice

Debbie is painting an image on a piece of art canvas. The image she is reproducing is 3 inches by 5 inches. She enlarges the dimensions 4 times. Which of the following statements is NOT true?

• The perimeter of the original image and the perimeter of the new image are related by a scale factor of 4.

• The area of the new image is 4 times the area of the original image.

• The area of the original image and the area of the new image are related by a scale factor of 16.

• The perimeter of the original image is $\frac{1}{4}$ the perimeter of the new image.