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(c) In the diagram, CD||EF, DEF-28°, ABD 48° and BDE=160°. Prove that AB||CD. A B 48% 160° C D x 28° E F U (d) In the diagram, PU||QT, 1-42°, ROS-82°. P PQT=y, UPT = x and QPT=x+40°. x+40° T 42° (1) (2) Prove that PT||QS. Calculate y. (e) ABCD is a parallelogram, AABE is equilateral and ADEC is isosceles. 82° S R A (1) Show that AEL ED (2) Show that ED bisects D B E с D (f) In the diagram, AB=7 cm, AD=12 cm, 20 cm 7 cm CE=8 cm and DE = 17 cm. 17 cm Calculate the length of BC. B B C 8 cm E (g) ABCD is a kite in which AB AD and BC = CD. Prove that: A C (1) AABC = AADC (2) Why is B-D? A B (h) AB||DE and DC = CB. Prove that: (1) AC = CE (2) AB = DE Prove that AABC=AADC using two different conditions of congruency. (i) In the figure below, sides PR and QS of triangles PQR and SQR intersect at T. PQ-SR and P =Ŝ=90°. Prove that APQR = ASRQ. 166 D E 1 B с D P S T R Ꭰ

(c) In the diagram, CD||EF, DEF-28°, ABD 48° and BDE=160°. Prove that AB||CD. A B 48% 160° C D x 28° E F U (d) In the diagram, PU||QT, 1-42°, ROS-82°. P PQT=y, UPT = x and QPT=x+40°. x+40° T 42° (1) (2) Prove that PT||QS. Calculate y. (e) ABCD is a parallelogram, AABE is equilateral and ADEC is isosceles. 82° S R A (1) Show that AEL ED (2) Show that ED bisects D B E с D (f) In the diagram, AB=7 cm, AD=12 cm, 20 cm 7 cm CE=8 cm and DE = 17 cm. 17 cm Calculate the length of BC. B B C 8 cm E (g) ABCD is a kite in which AB AD and BC = CD. Prove that: A C (1) AABC = AADC (2) Why is B-D? A B (h) AB||DE and DC = CB. Prove that: (1) AC = CE (2) AB = DE Prove that AABC=AADC using two different conditions of congruency. (i) In the figure below, sides PR and QS of triangles PQR and SQR intersect at T. PQ-SR and P =Ŝ=90°. Prove that APQR = ASRQ. 166 D E 1 B с D P S T R Ꭰ

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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(c) In the diagram, CD||EF, DEF-28°, ABD 48° and BDE=160°. Prove that AB||CD. A B 48% 160° C D x 28° E F U (d) In the diagram, PU||QT, 1-42°, ROS-82°. P PQT=y, UPT = x and QPT=x+40°. x+40° T 42° (1) (2) Prove that PT||QS. Calculate y. (e) ABCD is a parallelogram, AABE is equilateral and ADEC is isosceles. 82° S R A (1) Show that AEL ED (2) Show that ED bisects D B E с D (f) In the diagram, AB=7 cm, AD=12 cm, 20 cm 7 cm CE=8 cm and DE = 17 cm. 17 cm Calculate the length of BC. B B C 8 cm E (g) ABCD is a kite in which AB AD and BC = CD. Prove that: A C (1) AABC = AADC (2) Why is B-D? A B (h) AB||DE and DC = CB. Prove that: (1) AC = CE (2) AB = DE Prove that AABC=AADC using two different conditions of congruency. (i) In the figure below, sides PR and QS of triangles PQR and SQR intersect at T. PQ-SR and P =Ŝ=90°. Prove that APQR = ASRQ. 166 D E 1 B с D P S T R Ꭰ
Transcribed Image Text:(c) In the diagram, CD||EF, DEF-28°, ABD 48° and BDE=160°. Prove that AB||CD. A B 48% 160° C D x 28° E F U (d) In the diagram, PU||QT, 1-42°, ROS-82°. P PQT=y, UPT = x and QPT=x+40°. x+40° T 42° (1) (2) Prove that PT||QS. Calculate y. (e) ABCD is a parallelogram, AABE is equilateral and ADEC is isosceles. 82° S R A (1) Show that AEL ED (2) Show that ED bisects D B E с D (f) In the diagram, AB=7 cm, AD=12 cm, 20 cm 7 cm CE=8 cm and DE = 17 cm. 17 cm Calculate the length of BC. B B C 8 cm E (g) ABCD is a kite in which AB AD and BC = CD. Prove that: A C (1) AABC = AADC (2) Why is B-D? A B (h) AB||DE and DC = CB. Prove that: (1) AC = CE (2) AB = DE Prove that AABC=AADC using two different conditions of congruency. (i) In the figure below, sides PR and QS of triangles PQR and SQR intersect at T. PQ-SR and P =Ŝ=90°. Prove that APQR = ASRQ. 166 D E 1 B с D P S T R Ꭰ
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