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

Given:

Two triangles are congruent, i.e., .

To find:

All the measures of both triangle.

Solution:

We have,

.

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

It triangle ABC,

    (Angle sum property)

So,

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 .