Geometry 2nd 6 weeks Exam Review

its upside down in quadrant IV A' (7,-5) B' (7, -1) C' (3,-1)

Choose the option that depicts a reflection of ∆ABC over the line y = x

When being reflected over the x-axis, the x-value of the coordinates of the pre-image remains unchanged. The y-value only changes sign. (x,y) -> (x,-y).

Describe what happens to the coordinates of a figure when it is reflected over the x-axis in a coordinate plane.

No

Does this figure have rotational symmetry?

yes

Does this figure have rotational symmetry?

(36, 42)

Fill in the blanks using the image If Quadrilateral ABCD is dilated by a scale factor of 6, then the coordinates of point B' are (____ ,____ )

(-6, -1)

Fill in the blanks using the image If Quadrilateral ABCD is reflected over the x-axis, the coordinates of point D' are ( , )

(1, -0.5)

Fill in the blanks using the image below. If Quadrilateral ABCD is dilated by a scale factor of 1/4, the coordinates of point C' are ( , ).

(-9, -3)

Find the coordinates of the image of point A(3, -9) after a rotation of 90 degrees clockwise about the origin. (-3, 9) (9, 3) (-9, -3) (3, 9)

(x - 5, y + 3)

Give the rule that translates ∆ANT to ∆A'N'T' (x + 5, y - 3) (x + 11, y - 1) x - 5, y + 3) (x - 11, y - 1)

y-axis

Given the pre-image of ∆BAT and its image after reflection ∆B'A'T', determine the line of reflection. x-axis x = 1 y-axis y = -1

(x - 3, y + 4)

Given the translation (x, y) ⟶ (x + 3, y - 4), what is the translation that will return the coordinates of the image to the coordinates of the pre-image? (x - 3, y + 4) (x + 3, y - 4) (x - 3, y - 4) (x + 3, y + 4)

T'(-3. 7), O'(2, 3), Y'(3, 6)

Given ∆TOY, determine the coordinates of ∆T'O'Y' following a reflection over the line y = 2 T'(-3. 7), O'(2, 3), Y'(3, 6) T'(3, -3), O'(-2, 1), Y'(-3, -2) T'(-3. 3), O'(2, -1), Y'(3, 2) T'(7, -3), O'(2, 1), Y'(1, -2)

x= 2

The dimensions of a rectangle are 8 inches by 9 inches. The rectangle is dilated by a scale factor of x, such that the area of the new rectangle is 288 inches squared. Find the value of x.

They are not dilations of each other because the dimensions scale to different numbers If you divide 78 by 9, you get 8.667 repeating forever If you divided 27 by 5, you get 5.4

The dimensions of a tennis court are 27 feet by 78 feet. The dimensions of a ping pong table are 9 feet by 5 feet. Is a tennis court a dilation of a ping pong table? Explain why or why not. Correctly answer yes or no Provide a clear and logical explanation

2, 5

The figure below is rotated about the origin 90° counterclockwise. What will be the coordinates of A'?

A(4, 1.33), B(-2, 0), C(1, 3)

The graph below shows the image of a triangle after it was dilated by a scale factor of 1.5. The coordinates are as follows: A(6, 2), B(-3, 0), C(1.5, 4.5) What were the coordinates of the pre-image? A(13.5, 9), B(-4.5, 9), C(-4.5, 4.5) A(4, 1.33), B(-2, 0), C(1, 3) A(9, 6), B(-3, 6), C(-3, 3) A(18, 12), B(-6, 12), C(-6, 6)

It's in quadrant I A' (6,3) B' (2,3) C' (4,8)

The picture below shows the pre-image of a rotation about the origin 180° clockwise. Which of the following shows the image of this transformation?

Previous question answer

Answer to previous question

the shape would be repeated without reflection or rotation. It would be oriented the same as the original (sorry I couldn't upload a second image - see next card for answer)

Charlotte designed a floor pattern for her new game room. She used only translations of the following tile to produce the pattern. Which of the images below shows only translations of the figure above?

A' (0, 1); B' (2, 0.5); C' (0, -2) A' (2, 7); B' (-1, 11); C' (-4, 7) A' (5, -11); B' (13, -5); C' (5, 1)

Try the practice problems based on the triangle below. Perform each composition of transformations. Start each problem with triangle ABC shown above. Complete each problem in your notebook or on graph paper. Then submit the quiz, check your work, and correct it if necessary. 1. D0.5 ∘ T(-4, -6)(∆ABC) 2. r(90°, O) ∘ T(3, 2) ∘ Ry = 2(∆ABC) 3. Rx-axis ∘ T(-3, -5) ∘ D2(∆ABC)

Reflection across the y-axis

Which of the following best describes the transformation rule (x,y)⟶(−x,y)? Rotation of 90 degrees around the origin Reflection across the line y = x Reflection across the x-axis Reflection across the y-axis

the hearts

Which of the following represents a translation?