practice b congruent triangles - mrs. downs math...
TRANSCRIPT
Copyright © by Holt, Rinehart and Winston. 20 Holt GeometryAll rights reserved.
Name Date Class
LESSON Practice BCongruent Triangles4-3
In baseball, home plate is a pentagon. Pentagon ABCDE is a diagram of a regulation home plate. The baseball rules are very specific about the exact dimensions of this pentagon so that every home plate is congruent to every other home plate. If pentagon PQRST is another home plate, identify each congruent corresponding part.
1. �S � 2. �B � 3. _
EA �
4. �E � 5. _
PQ � 6. _
TS �
Given: �DEF � �LMN. Find each value.
7. m�L �
8. EF �
9. Write a two-column proof.
Given: �U � �UWV � �ZXY � �Z, _
UV � _
WV � _
XY � _
ZY , _
UX � _
WZ
Prove: �UVW � �XYZ
Proof:
10. Given: �CDE � �HIJ, DE � 9x, and IJ � 7x � 3. Find x and DE.
11. Given: �CDE � �HIJ, m�D � (5y � 1)�, and m�I � (6y � 25)�. Find y and m�D.
17 in.
8.5 in. 8.5 in.
12.02 in. 12.02 in.
53
25.41.5 1.3
2 3( 15)°
120°
5 °
001-082_Go07an_CRB_c04.indd 20001-082_Go07an_CRB_c04.indd 20 4/2/07 4:25:54 PM4/2/07 4:25:54 PM
4 T H P R I N T
Copyright © by Holt, Rinehart and Winston. 23 Holt GeometryAll rights reserved.
Name Date Class
In baseball, home plate is a pentagon. Pentagon ABCDE is a diagram of a regulation home plate. The baseball rules are very specific about the exact dimensions of this pentagon so that every home plate is congruent to every other home plate. If pentagon PQRST is another home plate, identify each congruent corresponding part.
1. S D 2. B Q 3. _
EA _
TP
4. E T 5. _
PQ _
AB 6. _
TS _
ED
Given: DEF LMN. Find each value.
7. m L 40
8. EF 37.3
9. Write a two-column proof.
Given: U UWV ZXY Z, _
UV _
WV _
XY _
ZY , _
UX _
WZ
Prove: UVW XYZ
Proof: Possible answer:Statements Reasons
1. U UWV ZXY Z 1. Given2. V Y 2. Third Thm.3. _
UV _
WV , _
XY _
ZY 3. Given4. _
UX _
WZ 4. Given5. UX WZ, WX WX 5. Def. of segs.
Reflexive Prop. of 6. UX UW WX, WZ XZ WX 6. Seg. Add. Post.7. UW WX XZ WX 7. Subst.8. UW XZ 8. Subtr. Prop. of 9. UVW XYZ 9. Def. of s
10. Given: CDE HIJ, DE 9x, and IJ 7x 3. Find x and DE.
x 3 __ 2 ; DE 13 1 __
2
11. Given: CDE HIJ, m D (5y 1) , and m I (6y 25) . Find y and m D.
y 26; m D 131
17 in.
8.5 in. 8.5 in.
12.02 in. 12.02 in.
53
25.41.5 1.3
2 3( 15)°
120°
5 °
Practice Congruent Triangles4-3
LESSON
TEKS G.10.B