5. In the regular pentagon ABCDE the interior diagonal AC is drawn. What is the degree measure of angle ZACD?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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THEOREM 4.7
If two angles of a triangle are congruent, then the sides opposite those angles ard
congruent.
A-A
В
В
If ZC LA, then AB CB.
THEOREM 4.5
In an isosceles triangle, the angles opposite the congruent sides are congruent,
A-A
B
C
If AB CB, then ZC = ZA.
Transcribed Image Text:THEOREM 4.7 If two angles of a triangle are congruent, then the sides opposite those angles ard congruent. A-A В В If ZC LA, then AB CB. THEOREM 4.5 In an isosceles triangle, the angles opposite the congruent sides are congruent, A-A B C If AB CB, then ZC = ZA.
4. Problem: Prove that in an isosceles triangle the angle bisectors of the congruent angles are
congruent.
For problem 4 you can certainly use the results already established back in Chapter 4, specifically
Theorems 4.5 and 4.7.
5. In the regular pentagon ABCDE the interior diagonal AC is drawn. What is the degree measure of
angle ZACD?
Transcribed Image Text:4. Problem: Prove that in an isosceles triangle the angle bisectors of the congruent angles are congruent. For problem 4 you can certainly use the results already established back in Chapter 4, specifically Theorems 4.5 and 4.7. 5. In the regular pentagon ABCDE the interior diagonal AC is drawn. What is the degree measure of angle ZACD?
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