concept 1. example 1 identify corresponding congruent parts show that polygons abcde and rtpsq are...
TRANSCRIPT
Identify Corresponding Congruent Parts
Show that polygons ABCDE and RTPSQ are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement.
Answer: All corresponding parts of the two polygons are congruent. Therefore, ABCDE RTPSQ.
Sides:
Angles:
A. A
B. B
C. C
D. D
The support beams on the fence form congruent triangles. In the figure ΔABC ΔDEF, which of the following congruence statements directly matches corresponding angles or sides?
A.
B.
C.
D.
Use Corresponding Parts of Congruent Triangles
O P CPCTC
mO = mP Definition of congruence
6y – 14 = 40 Substitution
In the diagram, ΔITP ΔNGO. Find the values of x and y.
Use Corresponding Parts of Congruent Triangles
6y = 54 Add 14 to each side.
y = 9 Divide each side by 6.
NG = IT Definition of congruence
x – 2y = 7.5 Substitution
x – 2(9) = 7.5 y = 9
x – 18 = 7.5 Simplify.
x = 25.5 Add 18 to each side.
CPCTC
Answer: x = 25.5, y = 9
A. A
B. B
C. C
D. D
A. x = 4.5, y = 2.75
B. x = 2.75, y = 4.5
C. x = 1.8, y = 19
D. x = 4.5, y = 5.5
In the diagram, ΔFHJ ΔHFG. Find the values of x and y.
Use the Third Angles Theorem
ARCHITECTURE A drawing of a tower’s roof is composed of congruent triangles all converging at a point at the top. If J K and mJ = 72, find mJIH.
GIVEN: ΔJIK ΔJIH
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 85
B. 45
C. 47.5
D. 95
TILES A drawing of a tile contains a series of triangles, rectangles, squares, and a circle. If ΔKLM ΔNJL, KLM KML and mKML = 47.5, find mLNJ.
Prove That Two Triangles are Congruent
Write a two-column proof.
Prove: ΔLMN ΔPON
Prove That Two Triangles are Congruent
Proof:
Statements Reasons
Find the missing information in the following proof.
Prove: ΔQNP ΔOPN
Proof:ReasonsStatements
Q O, NPQ PNO1. 1. Given