Four houses require 1,800 square feet, 1,050 square, 1,200 squares feet, and 1,460 square feet of shingles, respectively, How ma
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Answer:
∠EGB and ∠AGF are congruent;
Transitive Property of Equality
Step-by-step explanation:
The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other
Vertical angles are congruent i.e their measures are equal
Look at the attached graph
Given:
AB // CD
E , G , H , F are col-linear
The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD
∵ AB and EF intersected at point G
∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem
When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent ( vertical angle theorem)
∵ AB // CD and EF is a transversal
∴ m∠AGF = m∠CHF (corresponding angles theorem)
Transitive Property of Equality: if one angle is equal to two other angles, then the two other angles are equal
Therefore, If a = b and b = c, then a = c
∵ m∠EGB = m∠AGF
∵ m∠AGF = m∠CHF
∴ m∠EGB = m∠CHF (transitive property theorem)
∠EGB and ∠AGF are congruent; Transitive Property of Equality
Answer:
a) Perimeter = 20.5 Inches
Area is 15 Sq Inches
b) Perimeter is 61.4 Cms
Area is 210 Sq cm
c) Perimeter is 22 yards
Area is 21 Sq Yards
Step-by-step explanation:
a) Perimeter = sum of all the sides
= 8+7.5+5
=20.5
Perimeter = 20.5 Inches
Area of Triangle =
Base = 7.5 In
Height = 4 In
Hence Area is 15 Sq Inches
b) Perimeter = Sum of all the sides
P=13+23+13.4+12
P=61.4
Perimeter is 61.4 Cms
Area of trapezium =
Area is 210 Sq cm
c) Perimeter = Sum of all the sides
P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram
P = 22
Perimeter is 22 yards
Area of a parallelogram =
Area is 21 Sq Yards