Question 1

Which of the following statements is not sufficient to prove the congruence of two triangles?

Accepted Answer

Two sides of one triangle are congruent respectively to the two sides of another triangle.

Answer

Three sides of one triangle are congruent respectively to the three sides of another triangle.

Answer

Two angles and the non–included side of one triangle are congruent respectively to the two angles and the non–included side of another triangle.

Answer

Two angles and the included side of one triangle are congruent respectively to the two angles and the included side of another triangle.

Question 2

Which of the following is the congruence statement of

the two triangles as illustrated on the right?

Accepted Answer

△ABC ≌ △ZYX

Answer

△ABC ≌ △XYZ

Answer

△CBA ≌ △XZY

Answer

△CBA ≌ △ZYX

Question 3

A truss is a triangulated structure that consists of straight structural components like beams, bars, or rods joined together. This is used in supporting construction such as bridges, buildings, and other infrastructure that needs a sturdy framework. As shown in the figure at the right, what congruence postulate is illustrated as △MAH ≌ △TAH?

Accepted Answer

sss postulate

Question 4

Read the problem carefully. Then, choose TRUE if the answer is correct and FALSE if it is incorrect.

With the given figure, the front diagonal legs of the fordable chair are congruent and are joined at their midpoints, $\overline{\mathrm{FD}}$ ≌ $\overline{\mathrm{LS}}$ . What will you have if you draw a line from the corner of the chair to both front foot caps?

Answer: We will have $\overline{\mathrm{FS}}$ and $\overline{\mathrm{LD}}$ perpendicular to $\overline{\mathrm{SD}}$ .

Accepted Answer

true

Answer

false

Question 5

Which of the following reasons associates △FSD with △LDS?

Accepted Answer

Right Angle Triangle Theorem

Answer

Definition of Perpendicular Lines

Answer

Reflexive Property of Congruence

Answer

<P>Given</P><P></P>

Question 6

The Buntun Bridge is one of the longest river bridges in the Philippines. At 1,098 meters in length, it was first opened to the public in 1947. It is often referred to as Tuguegarao City’s gateway. Although the river has never flooded the bridge, typhoons Ondoy and Juan almost did. Its structures, consisting of congruent triangles, are among the reasons it remains firm even today.

In the figure below, it is given that $\overline{\mathrm{CG}}$ ≌ $\overline{\mathrm{YN}}$ and $\overline{\mathrm{CG}}$ ⫽ $\overline{\mathrm{YN}}$ . Prove that by completing the two-column proof below.

Which of the following statements best satisfies the given reason?

Accepted Answer

∠GCN and ∠YNC are alternate interior angles.

Answer

∠GCN and ∠YCN are alternate interior angles.

Answer

∠CN and ∠NC are alternate interior angles.

Answer

∠G and ∠Y are alternate interior angles.

Question 7

Choose TRUE if the statement is correct and FALSE if it is incorrect.

"When parallel lines are cut by transversal, alternate interior angles are congruent."

Accepted Answer

true

Answer

false

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