Question 5 of 10Leon drew ΔΔABC and ΔΔDEF so that A D, B E, AB = 4, and DE = 8. Are ΔΔABC and ΔΔDEF similar? If so, identify the similarity postulate or theorem that applies.A.Similar - SASB.Similar - AAC.Cannot be determinedD.Similar - SSS
Question
Question 5 of 10Leon drew ΔΔABC and ΔΔDEF so that A D, B E, AB = 4, and DE = 8. Are ΔΔABC and ΔΔDEF similar? If so, identify the similarity postulate or theorem that applies.A.Similar - SASB.Similar - AAC.Cannot be determinedD.Similar - SSS
Solution
Yes, triangles ABC and DEF are similar. This is determined by the Side-Side-Side (SSS) similarity theorem. The SSS similarity theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. In this case, the length of AB is half the length of DE (4 is half of 8), so the triangles are similar. Therefore, the correct answer is D. Similar - SSS.
Similar Questions
Question 2 of 10David 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.Cannot be determinedB.Similar - SSSC.Similar - AAD.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
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
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
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
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