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UNIT 1B REVIEW Triangle Theorems, dilations, congruence, Parallel lines cut by a transversal
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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)
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(-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)
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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)
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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
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The squares below are SIMILAR, find the scale factor
k = 1/3
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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
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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
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Exterior Triangle Theorem
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Find the value of x x = 61°
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How many degrees are in the third angle of a triangle whose other two angles are 32˚ and 75˚?
73°
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Find the value of x x = 116°
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What is the value of x x = 32°
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ANGLE MEASURES
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129° - they are corresponding angles which are always congruent
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Missing angle measure = 48°
Find the value of x and the missing angle measure X = 4 Missing angle measure = 48°
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Which angles are alternate interior angles?
∡𝟑𝒂𝒏𝒅∡𝟔 ∡𝟐𝒂𝒏𝒅∡𝟕
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Which angles are alternate exterior angles?
∡𝟒𝒂𝒏𝒅∡𝟓 ∡𝟏𝒂𝒏𝒅∡𝟖
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Name the angle relationship between ∡𝟓 𝒂𝒏𝒅∡ 8 ?
Vertical angles
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If the measure of ∡ 𝟑 𝒊𝒔 𝟏𝟎𝟓°, 𝒘𝒉𝒂𝒕 𝒊𝒔 𝒕𝒉𝒆 𝒎𝒆𝒂𝒔𝒖𝒓𝒆 𝒐𝒇∡ 8?
75°
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Solve for x The is no relationship except they are = 180
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Name the angle relationship between ∡𝟑 𝒂𝒏𝒅∡ 4 ?
Supplementary angles
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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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