T2.L3. Reflections as Functions

Presentation

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•

CCSS

8.G.A.3, HSG.CO.B.7, HSG.CO.A.5

Standards-aligned

Imani Palacio

Used 14+ times

FREE Resource

5 Slides • 5 Questions

L E A R N I N G O B J E C T I V E :
S W B A T P R O V E E Q U I D I S T A N C E B E T W E E N T H E E N D PO I N T S O F A S E G M E N T A N D P O I N T S O N I T
P E R P E N D I C U L A R B I S E C T O R U S I N G T H E
P R O P E R T I E S O F R E F L E C T I O N .

Reflection As
Functions

Vocabulary!

• Reflection Function: A reflection as a function, Rℓ, takes as its input, P, the location of a point with respect to some line of reflection ℓ and outputs Rℓ (P), or the opposite of the location of P with
respect to the line of reflection.

•Perpendicular Bisector Theorem: Any point on the perpendicular bisector of a segment is equidistant from the endpoints of that segment.

• Proof: A proof is a series of statements and corresponding reasons forming a valid argument that starts with a hypothesis and arrives at a conclusion.

Line of Reflection

Let's Investigate the figure below:

1. What do we notice about A and A' as it relates

to the line of reflection?

2. Which image is your pre-image?

3. Write Congruence and Equality statements about the two images.

Categorize

Options (6)

$\overline{AB\ }=\overline{A'B'}$

$\overline{BC}=\overline{B'C'}$

$\overline{AC\ }=\overline{A'C'}$

$\overline{AB}\cong\overline{A'B'}$

$\overline{BC}\cong\overline{B'C'}$

$\overline{AC}\cong\overline{A'C'}$

Organize the following statements for the given image.

Equality Statement

Congruency Statement

Labeling

Lable the pre-image and image of the given figure.

Drag labels to their correct position on the image

Image

Pre-image

Multiple Choice

True or False:

Corresponding vertices are equidistant from the line of reflection?

True

False

Reflection Functions

•Let's write a function for the reflection of the trapezoid.

How does the function represent the reflection of the trapezoid?

Fill in the Blanks

Give me the reflection function for the given pre-image and image.

Type answer...

Perpendicular Bisector Theorem

What do you notice about the relationship between point P and points R and B?

Prove: Line PB = Line PR

Why does Line PB = Line PR?

Reorder

Put the proof for the given figure in the right order.

Prove: Line segment PB = Line segment PR

The reflection of point "P" on line "L" is point "P"

Because line "L" is the perpendicular bisector of line segment RB, the reflection of point "R" across line "L" is point "B".

The reflection of line segment PR across line "L" is line segment PB

Therefore Line segment PR =Line segment PB

Reflection As
Functions

Show answer

Auto Play

Slide 1 / 10

SLIDE

Similar Resources on Wayground

9 questions

Função Quadrática

Presentation

•

11th Grade

10 questions

원방 공식 퀴즈

Presentation

•

10th Grade

7 questions

Integration

Presentation

•

11th Grade

9 questions

Simetria 01

Presentation

•

11th Grade

6 questions

MATEMÁTICA I

Presentation

•

11th Grade

8 questions

Lição sem título

Presentation

•

11th Grade

8 questions

Rates Of Change

Presentation

•

11th Grade

8 questions

Indices

Presentation

•

11th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade

17 questions

Identifying Parallel And Perpendicular Lines

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

18 questions

Parallel lines cut by a transversal

Quiz

•

9th - 11th Grade

14 questions

Evaluate Linear Functions and Their Applications

Quiz

•

9th - 12th Grade