Congruence of Triangles

Two plane figures are said to be congruent if they have :

• same length and same breadth

• same length but different breadth

• same size and same shape

• different size but same shape

Tags

CCSS.8.G.A.2

Among two congruent angles, one has a measure of 70°. What will be the measure of the other angle?

• 140°

• 35°

• 70°

• 110°

Tags

CCSS.7.G.B.5

The symbol for congruence is :

• =

• #

• ~

• ≅

Tags

CCSS.8.G.A.2

Two students drew a line segment each. What is the condition for them to be congruent?

• They should be drawn with a scale.

• They should be drawn on the same sheet of paper.

• They should have different lengths.

• They should have the same length.

Tags

CCSS.8.G.A.2

If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :

• Angle A

• Angle B

• Angle C

• None of these

Tags

CCSS.HSG.CO.B.7

Which of the following is a pair of congruent figures :

• A regular pentagon and a regular hexagon.

• A rhombus and a square

• Two equilateral triangles of the same length of their sides.

• Two equilateral triangles having different length of their sides from each other.

Tags

CCSS.8.G.A.2

Which angle is included between the sides QR and PR of ∆PQR?

• Angle R

• Angle P

• Angle Q

• None of these

Tags

CCSS.HSG.CO.C.10

Under a given correspondence, two triangles are congruent if the three sides of the first are equal to the three corresponding sides of the other.

The above is known as :

• SSS congruence of two triangles.

• SAS congruence of two triangles.

• ASA congruence of two triangles.

• None of these.

Tags

CCSS.HSG.SRT.B.5

Under a given correspondence, two triangles are congruent if two sides and the angle included between them of the first are equal to the corresponding sides and the angle included between them of the other triangle.

The above is known as :

• SSS congruence of two triangles.

• SAS congruence of two triangles.

• ASA congruence of two triangles.

• None of these.

Tags

CCSS.HSG.SRT.B.5

In congruent triangles ABC and PQR, AB = 5cm, BC = 4cm, angle B = 30°, PQ = 5cm, QR = 4cm and angle Q = 30°. By which congruence rule, the triangles are congruent?

• SSS

• ASA

• SAS

• None of these

Tags

CCSS.HSG.SRT.B.5