1. Han's teacher asked him to draw a polygon similar to polygon A. Here is his work. (picture) Which explanation shows that polygons A and C are similar to each other? A. Use a protractor to measure all four angles in polygon A and all four angles in polygon
C. Since each angle in polygon A has a matching angle measure in polygon C, the polygons are similar.
B. Since each side in polygon C is three times as long as the corresponding side in polygon A, the figures are similar. C Dilate polygon C with center at the upper-left vertex and a scale factor of Then, translate 7 units to the left. Since polygon C can be taken to polygon A with a dilation followed by a translation, the figures are similar.
D. Dilate polygon C with center at the upper-right corner and a scale factor of 3. Since polygon C can be taken to polygon A with a dilation, the polygons are, similar​

In an experiment you are to flip a two sided coin 100 times and record 55 heads up and 45 tails up determine the theoretical and experimental probability of getting a heads up in the experiment.

Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge? a. y = 8,000x − 24,000 b. y = -8,000x + 24,000 c. y = 6,000x − 24,000 d. y = -6,000x + 24,000

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)