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UNIT 1B REVIEW Triangle Theorems, dilations, congruence, Parallel lines cut by a transversal.

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Presentation on theme: "UNIT 1B REVIEW Triangle Theorems, dilations, congruence, Parallel lines cut by a transversal."— Presentation transcript:

1 UNIT 1B REVIEW Triangle Theorems, dilations, congruence, Parallel lines cut by a transversal

2 similar and congruent figures
Similar figures are the same shape, but not the same size (dilations) Congruent figures are the same size and shape (translations, reflections, rotations)

3 (-9, 9) = (-5, 1) = (-3, 6) = (-27, 27 ) (-15, 3 ) (-9, 18)
Dilate the triangle below by 300%. Pre-image coordinates are listed (-9, 9) = (-5, 1) = (-3, 6) = (-27, 27 ) (-15, 3 ) (-9, 18)

4 A triangle has vertices A(1,6), B(3,4), and C(5,7)
A triangle has vertices A(1,6), B(3,4), and C(5,7). What are the coordinates of the image of the triangle after a dilation using a scale factor of 2? A’ (2,12) B’ (6,8) C’ (10,14)

5 Choose the scale factors that would result in a reduction
Choose the scale factors that would result in a reduction. Select all that apply. K = 1/ k = k = 3/4 k = 50/10 k = 1/2, k = 3/4

6 The squares below are SIMILAR, find the scale factor
k = 1/3

7 Find the scale factor from the first figure to the second figure of the scale drawings below-use the dimensions given: 6 3 2 1 3 4 k = 1/3 3 4 k = 4/3

8

9 Choose the scale factors that would result in an enlargement
Choose the scale factors that would result in an enlargement. Select all that apply. K = 1/ k = k = 7/5 k = 20/5 k = 5, k = 20/5, k = 7/5

10

11 Exterior Triangle Theorem

12 Find the value of x x = 61°

13 How many degrees are in the third angle of a triangle whose other two angles are 32˚ and 75˚?
73°

14 Find the value of x x = 116°

15 What is the value of x x = 32°

16 ANGLE MEASURES

17 129° - they are corresponding angles which are always congruent

18 Missing angle measure = 48°
Find the value of x and the missing angle measure X = 4 Missing angle measure = 48°

19 Which angles are alternate interior angles?
∡𝟑𝒂𝒏𝒅∡𝟔 ∡𝟐𝒂𝒏𝒅∡𝟕

20 Which angles are alternate exterior angles?
∡𝟒𝒂𝒏𝒅∡𝟓 ∡𝟏𝒂𝒏𝒅∡𝟖

21 Name the angle relationship between ∡𝟓 𝒂𝒏𝒅∡ 8 ?
Vertical angles

22 If the measure of ∡ 𝟑 𝒊𝒔 𝟏𝟎𝟓°, 𝒘𝒉𝒂𝒕 𝒊𝒔 𝒕𝒉𝒆 𝒎𝒆𝒂𝒔𝒖𝒓𝒆 𝒐𝒇∡ 8?
75°

23 Solve for x The is no relationship except they are = 180

24 Name the angle relationship between ∡𝟑 𝒂𝒏𝒅∡ 4 ?
Supplementary angles

25 At a train station, Track B crosses Track A and Track C, which are parallel to each other. Track A and Track B intersect at an angle of 150° as shown. What is the measure of the Angle x, formed by the intersection of Track B and Track C? 30°


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