F G E H G Dilate the shape on the graph E 5 using a scale factor of 2 from 10 Pentagon EFGHI maps to pentagon E'F'G'H'I' as shown the picture. H Which triangle similarity theorem can you use to prove the two triangles above are similar? Side- Angle- Side (SAS) the origin. Give the cordinates of what the image would be. Do not put any spaces in the coordinates. What is the scale factor of the dilation? (write fractions as num/den) Say if the statement is true or false. If false please say why it is incorrect. Angle- Side- Angle (ASA) Side- Side- Side (SSS) Angle- Angle (AA) Which of the following is NOT a valid triangle similarity theorem? B': ( Side- Angle- Side (SAS) 38 68 E': ( B D 38/ E Angle- Side- Angle (ASA) J': ( 75 F ????~ADEF True False Side- Side- Side (SSS) x': ( Angle- Angle (AA)
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In problems 1-5, write A for always, S for sometimes, or N for never. 1 An obtuse triangle has 3 obtuse angles. 2 A right triangle is isosceles. 3 The base of an isosceles triangle is shorter than either leg. 4 A median of a triangle bisects the side to which it is drawn. 5 If a median of a triangle is also an altitude, then it is also an angle bisector. Use the diagram for problems 6, 7 and 8. 6. If ┳BEC is isosceles, which of the following must be given in order to prove ┳BAE ≅ ┳CDE by ASA? a ∠2 ≅ ∠3 b AB ≅ CD c AE ≅ ED d ∠ABC ≅ ∠DCB 7. Given AB ≅ CD and AC ≅ BD. In order to prove the pair of overlapping triangles congruent, what additional fact must we use? a Vertical angles are congruent. b The reflexive property c The addition property d If ┳ , then ┳ . 8. Given AE ≅ ED and BE ≅ CE, what additional given is required in order to prove ┳ABE ≅ ┳DCE by H.L.? a ∠1 ≅ ∠4 b AB ≅ CD c ∠1 and ∠4 are right angles. d BD ∥ AC 9. If ┳PQR ≅ ┳TWV, which of the following is not necessarily true? a ∠P ≅ ∠T b VT ≅ RP c QR ≅ WT d ∠W ≅ ∠Q
Each of the following congruence theorems for triangles can be used as a test to determine whether two triangles are congruent or not. Assume that you already have two triangles before you try to apply any of the following propositions. But what else must you have in order to use one of these propositions? For SAS, you must have: - A pair of congruent angles, where one angle from the first triangle is congruent to one angle from the second triangle. For ASA, you must have: - A pair of congruent angles, where one angle from the first triangle is congruent to one angle from the second triangle. - A pair of congruent sides, where one side from the first triangle is congruent to one side from the second triangle. For SSS, you must have: - A pair of congruent sides. - A pair of congruent sides. - A pair of congruent sides, where the location of these sides matters.
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