What are the vertices of $$\triangle A$$ produced by $$T_{ }(\triangle ABC)=\triangle A$$ ?

A) A'(0, 6), B'(0, 4), C'(−3, 3)

B) A'(6, 6), B'(6, 4), C'(3, 3)

C) A'(0, −6), B'(0, −8), C'(−3, 9)

D) A'(6, −6), B'(6, −8), C'(3, 9)

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

Reflection over x-axis, then Rotation of 90 Degrees

Rotation of -90 Degrees, then Reflection over y-axis

Reflection over y-axis, then Rotation of -90 Degrees

Rotation of 90 Degrees, then Reflection over x-axis

What is the sequence of transformations?

Reflect over the y then reflect over the x

Reflect over the x then reflect over the y

Translate 4 units then rotate 90˚

Rotate 90˚ then reflect over the x

Suppose m is the line with equation y = -4 and $$\Delta$$ A'B'C' is mapped to $$\Delta$$ A''B''C'' by applying the glide reflection T <3, 0> ∘ r m . What are the coordinates of $$\Delta$$ A''B''C''?

A''(-1, -3), B''(-3, -6), C''(1, -7)

A''(-7, -3), B''(-8, -6), C''(-5, -7)

A''(-2, -5), B''(0, -2), C''(-3, -1)

A''(-8, -3), B''(-6, 4), C''(-9, 0)

Which type(s) of symmetry does the rectangle have?

both reflectional and rotational symmetry

neither reflectional nor rotational symmetry

Select all the sequences of reflections that produce an image equivalent to the image $$R_{(180^\circ,\ o)}(\triangle BCD)$$ .

( r x-axis ∘ r y-axis )( $$\Delta BCD$$ )

( r y-axis ∘ r x-axis )( $$\Delta BCD$$ )

( r x-axis ∘ r x-axis )( $$\Delta BCD$$ )

( r y-axis ∘ r y-axis )( $$\Delta BCD$$ )

( r y=x ∘ r x-axis )( $$\Delta BCD$$ )

Triangle ABC has vertices A(–2, 5), B(1, 0), and C(6, –2). What are the coordinates of the vertices of ΔA’B’C’ for r y-axis ?

A’(2, 5), B’(–1, 0), C’(–6, –2)

A’(5, –2), B’(0, 1) C’(–2, 6)

A’(2, –5), B’(–1, 0), C’(–6, 2)

A’(–2, –5), B’(1, 0), C’(6, 2)

Topic 3 Review (Geometry)

Authored by cari buddman

Mathematics

9th - 12th Grade

CCSS covered

Used 8+ times

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35 questions

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MULTIPLE SELECT QUESTION

1 min • 1 pt

Select all that apply.
A rigid motion preserves

angle measure

location

side length

orientation

Tags

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 5 pts

A rigid motion creates figures that are ____________.

congruent

different sizes

similar

larger

Tags

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is NOT a rigid motion?

Rotation

Reflection

Translation

Dilation

Tags

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Suppose the equation of line t is y = x. Which shows the graph of ΔA’B’C’ for r_t?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Suppose the equation of line s is y = 2. What are the coordinates of C’ of ΔA’B’C’ for r_s?

(a)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the rule for the following reflection?

Reflection across y = 3

Reflection across x = −3

Reflection across x = 3

Reflection across y = −3

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the rule used to transform ΔABC to its image?
A(–3, 5), B(2, 8), C(–4, –5) and A’(–3, –5), B’(2, –8), C’(–4, 5)

r_m(x, y) = (–y, –x), where the equation of line m is y = –x

r_n(x, y) = (y, x), where the equation of line n is y = –x

r_y-axis(x, y) = (–x, y)

r_x-axis(x, y) = (x, –y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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Topic 3 Review (Geometry)

Select all that apply.A rigid motion preserves

A rigid motion creates figures that are ____________.

Which of the following is NOT a rigid motion?

Suppose the equation of line t is y = x. Which shows the graph of ΔA’B’C’ for rt?

Suppose the equation of line s is y = 2. What are the coordinates of C’ of ΔA’B’C’ for rs? (a)

What is the rule for the following reflection?

What is the rule used to transform ΔABC to its image? A(–3, 5), B(2, 8), C(–4, –5) and A’(–3, –5), B’(2, –8), C’(–4, 5)

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Select all that apply.
A rigid motion preserves

Suppose the equation of line t is y = x. Which shows the graph of ΔA’B’C’ for r_t?

Suppose the equation of line s is y = 2. What are the coordinates of C’ of ΔA’B’C’ for r_s?

(a)

What is the rule used to transform ΔABC to its image?
A(–3, 5), B(2, 8), C(–4, –5) and A’(–3, –5), B’(2, –8), C’(–4, 5)