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

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)

(-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)

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)

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 = 1/2 k = 3 k = 3/4 k = 50/10 k = 1/2, k = 3/4

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

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

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 = 1/3 k = 5 k = 7/5 k = 20/5 k = 5, k = 20/5, k = 7/5

Exterior Triangle Theorem

Find the value of x x = 61°

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

Find the value of x x = 116°

What is the value of x x = 32°

ANGLE MEASURES

129° - they are corresponding angles which are always congruent

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

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

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

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

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

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

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

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°