F H. In the figure shown, GE and DH intersect at point F. Which of the following additional statements is(are) sufficient to prove that triangle DEF is similar to triangle HGF? I. The length of DE is 1. the length of HG. 3. II. DE is parallel to HG. A) I is sufficient, but II is not. B) II is sufficient, but I is not. C) I is sufficient, and II is sufficient. D Neither I nor II is sufficient.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.2: The Parallelogram And Kite
Problem 20E: In Exercises 19 to 24, complete each proof. Given: Quadrilateral ABCD, with midpoints E, F, G, and H...
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F
H.
In the figure
shown, GE and DH intersect at
point F. Which of the following additional
statements is(are) sufficient to prove that
triangle DEF is similar to triangle HGF?
I. The length of DE is
1.
the length of HG.
3.
II. DE is parallel to HG.
A) I is sufficient, but II is not.
B) II is sufficient, but I is not.
C) I is sufficient, and II is sufficient.
D Neither I nor II is sufficient.
Transcribed Image Text:F H. In the figure shown, GE and DH intersect at point F. Which of the following additional statements is(are) sufficient to prove that triangle DEF is similar to triangle HGF? I. The length of DE is 1. the length of HG. 3. II. DE is parallel to HG. A) I is sufficient, but II is not. B) II is sufficient, but I is not. C) I is sufficient, and II is sufficient. D Neither I nor II is sufficient.
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