Question

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Answer 1

Answer:

1. TriangleMNO is congruent to Triangle XYZ.

2. Triangle ACB is congruent to Triangle ADB.

Step-by-step explanation:

1. GIVEN:

MN = XY = 9CM

MO = XZ=15CM

NY = 20 CM

SOLUTION:

In triangles MNO and XYZ,

MO = XY (GIVEN)

MN = XY (GIVEN)

ANGLE MNO = ANGLE XYZ (COMPLEMENTARY ANGLES)

HENCE, TRIANGLE MNO IS CONGRUENT TO XYZ

CPCT:

OZ = OZ

YX = NO.

2. GIVEN:

AC = AD

BC = DE

SOLUTION:

In triangles ABC and ADE,

AC = AD (GIVEN)

BC = DE (GIVEN)

ANGLE ACB = ANGLE ADE (COMPLEMENTARY ANGLES)

HENCE, TRIANGLES ACB IS CONGRUENT TO ADE.

CPCT:

AB=AE.