Question

name _ fcith ruge
date 10 - 21 - 25
period 1
88_39
oct 2 2 2025
congruent triangles and cpctc assignment
missed
score: 39
finish
read the following problems and answer the questions that follow. (14 points possible)
1.
given that ( \triangle a b c cong \triangle a d c ) with ( a d=3 y ), and
( a b=21 ), what is the value of ( y ).
( \frac{a b}{a d c} )
( y=11 )
( 3 y=91 )
2.
given that ( \triangle w x v cong \triangle z y n ), ( angle w x y=52^{circ} ), and ( angle y n z=84^{circ} ) if
( 5 a-10) ), what is the value of ( a )?

Explanation:

Step1: Use congruent triangles property

Since \(\triangle ABC\cong\triangle ADC\), then \(AB = AD\) (corresponding parts of congruent triangles are equal).

Step2: Set up the equation

Given \(AB = 21\) and \(AD=3y\), we have the equation \(3y = 21\).

Step3: Solve for \(y\)

Divide both sides of the equation \(3y = 21\) by \(3\). So, \(y=\frac{21}{3}=7\).

Answer:

\(y = 7\)