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Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. Choose the correct answer below. O A. Yes, APSQ - ARST because ZS O B. Yes, APSQ - ARST because ZS ZS and = R. = 11 P 22 S /16 ZS and ZP ≈ ZR. Thus, the triangles are similar by the AA~ postulate. PS QS Thus, the triangles are similar by the SAS- theorem. RS TS S PS QS PQ RS TSRT Thus, the triangles are similar by the SSS~ postulate. O C. Yes, APSQ ~ ARST because O D. No, the triangles are not similar because no theorem or postulate can be satisfied.

Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. Choose the correct answer below. O A. Yes, APSQ - ARST because ZS O B. Yes, APSQ - ARST because ZS ZS and = R. = 11 P 22 S /16 ZS and ZP ≈ ZR. Thus, the triangles are similar by the AA~ postulate. PS QS Thus, the triangles are similar by the SAS- theorem. RS TS S PS QS PQ RS TSRT Thus, the triangles are similar by the SSS~ postulate. O C. Yes, APSQ ~ ARST because O D. No, the triangles are not similar because no theorem or postulate can be satisfied.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. Choose the correct answer below. O A. Yes, APSQ - ARST because ZS O B. Yes, APSQ - ARST because ZS ZS and = R. = 11 P 22 S /16 ZS and ZP ≈ ZR. Thus, the triangles are similar by the AA~ postulate. PS QS Thus, the triangles are similar by the SAS- theorem. RS TS S PS QS PQ RS TSRT Thus, the triangles are similar by the SSS~ postulate. O C. Yes, APSQ ~ ARST because O D. No, the triangles are not similar because no theorem or postulate can be satisfied.
Transcribed Image Text:Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. Choose the correct answer below. O A. Yes, APSQ - ARST because ZS O B. Yes, APSQ - ARST because ZS ZS and = R. = 11 P 22 S /16 ZS and ZP ≈ ZR. Thus, the triangles are similar by the AA~ postulate. PS QS Thus, the triangles are similar by the SAS- theorem. RS TS S PS QS PQ RS TSRT Thus, the triangles are similar by the SSS~ postulate. O C. Yes, APSQ ~ ARST because O D. No, the triangles are not similar because no theorem or postulate can be satisfied.
In rectangle BCEG, BC:CE = 2:3. In rectangle LJAW, LJ:JA= 2:3. Show that BCEG - LJAW. EG:GB Two polygons are similar polygons if corresponding angles are Since all angles in any rectangle are right angles, then all corresponding angles in BCEG and LJAW are congruent. Recall that in any parallelogram, opposite sides are congruent. Since BCEG and LJAW are rectangles, they are parallelograms. Use this fact and the given information to determine the ratio EG:GB. Similarly, find the ratio AW:WL AW:WL = congruent From the values of these two ratios, it can be concluded that C and if the lengths of corresponding sides are proportional. Switching the means of this proportion yields Therefore, the corresponding sides of the rectangles BCEG and LJAW form equal ratios and are Since their corresponding angles are congruent and corresponding sides are proportional, then the rectangles BCEG and LJAW are
Transcribed Image Text:In rectangle BCEG, BC:CE = 2:3. In rectangle LJAW, LJ:JA= 2:3. Show that BCEG - LJAW. EG:GB Two polygons are similar polygons if corresponding angles are Since all angles in any rectangle are right angles, then all corresponding angles in BCEG and LJAW are congruent. Recall that in any parallelogram, opposite sides are congruent. Since BCEG and LJAW are rectangles, they are parallelograms. Use this fact and the given information to determine the ratio EG:GB. Similarly, find the ratio AW:WL AW:WL = congruent From the values of these two ratios, it can be concluded that C and if the lengths of corresponding sides are proportional. Switching the means of this proportion yields Therefore, the corresponding sides of the rectangles BCEG and LJAW form equal ratios and are Since their corresponding angles are congruent and corresponding sides are proportional, then the rectangles BCEG and LJAW are
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