given wxyz ≅ pqrs, find the measure of the angle or the length of the side.
11) ( mangle p=)________
12) ( qr=)________
13) ( wx=)________
14) ( mangle z=)________
which postulate or theorem, if any, could be used to prove the two triangles are congruent? if the triangles cannot be proven congruent, write
ot possible.\
15)
16)
17)

Question

Accepted Answer

# Explanation:
## Step1: Use congruent polygons property
Since $WXYZ\cong PQRS$, corresponding angles and sides are equal.
For $m\angle P$: Corresponding to $\angle X$. So $m\angle P = 145^{\circ}$
## Step2: For $QR$
Corresponding to $WZ$. So $QR = 8.6$
## Step3: For $WX$
Corresponding to $PQ$. So $WX = 5$
## Step4: For $m\angle Z$
Corresponding to $\angle R$. The sum of angles in a quadrilateral is $360^{\circ}$. In $PQRS$, $m\angle S=35^{\circ}$, $m\angle P = 145^{\circ}$, $m\angle Q = 80^{\circ}$. So $m\angle R=360-(35 + 145+80)=100^{\circ}$. Thus $m\angle Z = 100^{\circ}$
## Step5: For 15)
SSS (Side - Side - Side) postulate as two sides and the included side (the common side) are equal.
## Step6: For 16)
HL (Hypotenuse - Leg) theorem for right - triangles as the hypotenuse and one leg are equal.
## Step7: For 17)
SAS (Side - Angle - Side) postulate as two sides and the included vertical angles (which are equal) are present.

# Answer:
11) $145^{\circ}$
12) $8.6$
13) $5$
14) $100^{\circ}$
15) SSS
16) HL
17) SAS

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QUESTION IMAGE

Question

Explanation:

Step1: Use congruent polygons property

Step2: For \(QR\)

Step3: For \(WX\)

Step4: For \(m\angle Z\)

Step5: For 15)

Step6: For 16)

Step7: For 17)

Answer: