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Home > GC > Chapter 5 > Lesson 5.1.2 > Problem 5-20

5-20.

Examine the triangles below. Are the triangles similar? If so, show how you know with a flowchart. If not, explain how you know they cannot be similar.  

Two decreasing parallel lines with a transversal segment between them, A, E intersecting the right parallel line at, C, and the left parallel line at D. A point B above and on the left parallel line is part of triangle, A, B, C where B, C is 4 and A, C is 6. A point F below and on the right parallel line is part of triangle, D, E, F where D, E is 7.5 and D, F is 5. A point labeled, x, is on left parallel, to the right of points, b & c.

Be sure to add reasons and arrows to the flowchart. Bubble: B, C divided by A, C equals 4 sixths = 2 thirds and Bubble: D, F divided by D, E equals 5 divided by 7.5 = 2 thirds.

Two more bubbles placed above and between the first two: Bubble: angle B, C, A is congruent to angle D, C, X and Bubble: angle D, C, X is congruent to angle E, D, F

Another bubble placed between the first two bubbles: angle B, C, A is congruent to angle E, D, F

Another bubble placed below the last bubble: Triangle B, C, A is similar to triangle E, D, F.

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