If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not? Yes, along with the gi
ven information, ZX ≅ ZX by the reflexive property. Yes, the triangles are both obtuse. No, the sides of the triangles intersect. No, there is not enough information given.
2 answers:
Answer:
ΔVZX and ΔWXZ are not congruent by SAS by the given information.
No, there is not enough information given.
The additional information for triangle to be congruent by SAS is given below.
Step-by-step explanation:
GIVEN:
1. VX = WZ = 40 cm and
2.m∠ZVX = m∠XWZ = 22°
3. VZ = WX ......{this additional information is required for triangles is to be congruent by SAS test}
Proof:
In Δ VZX and Δ WXZ
VZ ≅ WX …………..{additional information}
∠ ZVX ≅ ∠ XWZ ……….{measure of each angle is 22° given}
VX ≅ WZ ………….{length of each side is 40 cm given}
Δ ABC ≅ Δ PQR ….{By Side-Angle-Side test}
For SAS test, two sides of the corresponding triangles should be congruent and the angle between the two side. Then the triangles are said to be congruent by side angle side test.
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