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Question 1 options:

m∠A = _____˚

m∠B = _____˚

m∠C = _____˚

m∠X = _____˚

m∠Y = _____˚

m∠Z = _____˚

Segment AB = _____ units

Segment BC = _____ units

Segment AC = _____ units

Segment XY = _____ units

Segment YZ = _____ units

Segment XZ = _____ units

Question 1 options: m∠A = _____˚ m∠B = _____˚ m∠C = _____˚ m∠X = _____˚ m∠Y = _____˚ m-example-1
User Koray
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1 Answer

7 votes

Given:

Two triangles are congruent, i.e.,
\Delta ABC\cong \Delta XYZ.

To find:

All the measures of both triangle.

Solution:

We have,


\Delta ABC\cong \Delta XYZ.

We know that, corresponding parts of congruent triangles are congruent (CPCTC).


\angle A=\angle X


\angle B=\angle Y=90^\circ


\angle C=\angle Z=37^\circ

It triangle ABC,


\angle A+\angle B+\angle C=180^\circ (Angle sum property)


\angle A+90^\circ+37^\circ=180^\circ


\angle A+127^\circ=180^\circ


\angle A=180^\circ -127^\circ


\angle A=53^\circ

So,


\angle A=\angle C=53^\circ


AB=XY=3\text{ units}


BC=YZ=4\text{ units}


AC=XZ=5\text{ units}

Therefore, m∠A = 53˚, m∠B =90˚ , m∠C =37˚ , m∠X = 53˚, m∠Y =90˚ , m∠Z =37˚ , Segment AB = 3 units , Segment BC = 4 units , Segment AC = 5 units , Segment XY = 3 units , Segment YZ = 4 units , Segment XZ = 5 units .

User Skgskg
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7.5k points