Frances drew ΔΔABC and ΔΔDEF so that A D, AB = 4, DE = 8, AC = 6, and DF = 12. AreΔΔABC and ΔΔDEF similar? If so, identify the similarity postulate or theorem that applies.A.Similar - AAB.Similar - SASC.Cannot be determinedD.Similar - SSS
Question
Frances drew ΔΔABC and ΔΔDEF so that A D, AB = 4, DE = 8, AC = 6, and DF = 12. AreΔΔABC and ΔΔDEF similar? If so, identify the similarity postulate or theorem that applies.A.Similar - AAB.Similar - SASC.Cannot be determinedD.Similar - SSS
Solution
Yes, triangles ABC and DEF are similar. The similarity postulate that applies is the Side-Side-Side (SSS) similarity postulate. This is because the lengths of the corresponding sides of the two triangles are in proportion. AB/DE = 4/8 = 0.5 and AC/DF = 6/12 = 0.5. So, the correct answer is D. Similar - SSS.
Similar Questions
David drew ΔΔPQR and ΔΔSTU so that P S, PR = 12, SU = 3, PQ = 20, and ST = 5. AreΔΔPQR and ΔΔSTU similar? If so, identify the similarity postulate or theorem that applies.A.Similar - SSSB.Similar - AAC.Cannot be determinedD.Similar - SAS
Jerry drew ΔΔJKL and ΔΔMNP so that ∠𝐾≅∠𝑁, ∠𝐿≅∠𝑃∠K≅∠N, ∠L≅∠P, JK = 6, and MN = 18. Are ΔΔJKL and ΔΔMNP similar? If so, identify the similarity postulate or theorem that applies.A.Similar - AAB.Cannot be determinedC.Similar - SSSD.Similar - SAS
Visualization, Reasoning and Proof, and SimilarityYou can show that two triangles are similar when certain relationships exist betweentwo or three pairs of corresponding parts. If you know two triangles are similar, thenyou know their corresponding sides are proportional.Task 1In the diagram below, AC 6 DF 6 BH and CB 6 FE.A DC GBHFEa. Find four similar triangles. Explain how you know that they are all similar.b. Using the similar triangles you found in part (a), complete the followingextended proportion:ABAC 5 DEj 5 jDG 5 jj
In right triangle ΔΔEFG, mE = 25. In right triangle ΔΔHJK, mH = 25. Which similarity postulate or theorem proves that ΔΔEFG and ΔΔHJK are similar?A.AAB.SASC.HLD.SSS
From the diagram below, we can tell that ____.Question 4Select one:a.the two triangles are congruentb.the two triangles are not similarc.the two triangles are similar by SASd.the two triangles are similar by SSS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.