Question

For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.

1) m 2) m 3) m 4) m 5) m 6) m 7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units

Answer 1

Explanation:

Since ΔABC ≅ ΔXYZ,

By the property that says that "corresponding parts of the congruent triangles are congruent"

Corresponding angles (Including right angle) will be equal.

m∠A = m∠X = 180° - (90° + 37°) = 53°

m∠B = m∠Y = 90°

m∠C = m∠Z = 37°

Corresponding sides of the triangles will be equal.

AB ≅ XY = 3 units

BC ≅ YZ = 4 units

AC ≅ XZ = 5 units