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Turn to Page S.35.

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Presentation on theme: "Turn to Page S.35."— Presentation transcript:

1 Turn to Page S.35

2 Stay on Page S.35 PROMPT 1: WORK IT OUT: A ( , )  A’ ( , )
ABC is similar to A’B’C’ Use vectors to show mapping. What transformation is shown? How do you know? WORK IT OUT: A ( , )  A’ ( , ) B ( , )  B’ ( , ) C ( , )  C’ ( , ) What scale factor is used? ____

3 Stay on Page S.35 + 10 + 1 10 to the right 1 up PROMPT 2:
A’B’C’ is congruent to A’’B’’C’’ What transformation is shown? How do you know? Write a verbal statement as well as an algebraic statement that describe the sequence that maps A’B’C’ to A’’B’’C’’. WORK IT OUT: A’B’C’ is mapped to A’’B’’C’’ by translating A’B’C’ ____ unit(s) ____________ and ____ unit(s) ____________. ( X , Y ) Verbal Statement: 10 to the right 1 up Algebraic Statement:

4 Turn to Page S.36

5 Stay on Page S.36 PROMPT 1: WORK IT OUT: A ( , )  A’ ( , )
ABC is similar to A’B’C’ Use vectors to show mapping. What transformation is shown? How do you know? WORK IT OUT: A ( , )  A’ ( , ) B ( , )  B’ ( , ) C ( , )  C’ ( , ) What scale factor is used? ____

6 Stay on Page S.36 PROMPT 2: A’B’C’ is congruent to A’’B’’C’’
What transformation is shown? How do you know? Write a verbal statement as well as an algebraic statement that describe the sequence that maps A’B’C’ to A’’B’’C’’. WORK IT OUT: A’B’C’ is mapped to A’’B’’C’’ by translating A’B’C’ ____ unit(s) ____________ and ____ unit(s) ____________. ( X , Y ) Verbal Statement: Algebraic Statement:

7 1 2 3 Stay on Page S.36 Directions: Work in reverse order.
Directions: Map Triangle 3 to Triangle 2, then Map Triangle 2 to Triangle 1. 1 2 3

8 Stay on Page S.36 What rigid motion will map Triangle A*B*C* back to Triangle ABC ? 1 B* 2 A* 3 C*

9 ~ ~ AB AC BC A’B’ A’C’ B’C’ Turn to Page S.37 15 units 18 units
~ ~ WRITE THIS STATEMENT IN YOUR WORKBOOK: If AB corresponds to A’B’ Angle A is congruent to Angle A’ AC corresponds to A’C’ Angle B is congruent to Angle B’ BC corresponds to B’C’ Angle C is congruent to Angle C’ to maintain proportionality. Replace each segment with the length. Compare the ratios show. What do you notice? 15 units 18 units 6 units Compare 10 units 12 units 4 units

10 EXI T T I C K E T Name: ___________________________________
How can you prove that the triangles are similar based on side lengths of segments?

11 Turn to Page S.39

12 Turn to Page S.40

13 Turn to Page S.43 LENGTHS of SEGMENTS: AB ______ A’B’ ______ AC ______
BC ______ B’C’ ______

14 ½ 4 2 8 4 6 3 LENGTHS of SEGMENTS: AB ______ A’B’ ______ AC ______
BC ______ B’C’ ______ 4 2 8 4 6 3 What scale factor is used to map Triangle ABC to Triangle A’B’C’? _______________

15 Turn to Page S.47 Why do we use vectors?
Vectors show us the pathway for dilation in enlargements or reductions. Vectors allow us to form segments to compare

16 Turn to Page S.48 What information can we interpret from this figure below?

17 Turn to Page S.52 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

18 Turn to Page S.52 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

19 Turn to Page S.52 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

20 Turn to Page S.53 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

21 Turn to Page S.53 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

22 Turn to Page S.54 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures? Do you have enough information provided? If not, explain what you need to solve and determine similarity.

23 Turn to Page S.54 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

24 Turn to Page S.54 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

25 Turn to Page S.55 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?

26 Turn to Page S.55 Are the triangles the same size? Are the triangles the same shape? Do the triangles the same angle measures?


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