Understanding congruency

In quadrilateral ABCD angle C corresponds with with angle in quadrilateral EFGH?

• angle E

• angle F

• angle G

• angle H

Are these figures congruent?

• Congruent

• Not Congruent

In congruent triangles, corresponding parts are always ______.

• opposite

• congruent

• equilateral

• acute

Matching sides are called what?

• congruent sides

• the same

• corresponding sides

• similar sides

Construct a parallelogram PQRS such that, PQ = 8 cm, QR = 6 cm, PR = 7. Can you draw a unique parallelogram with given measures?

• Yes

• No

Answer explanation

We have been given that quadrilateral PQRS is a parallelogram. In parallelogram opposite sides are equal and parallel. So, in parallelogram PQRS, PQ = RS, QR = PS We have also been given lengths of two sides and one diagonal of the parallelogram. Using this information along with the properties of parallelogram it is possible to construct a unique parallelogram PQRS. Steps of Construction: Step I: Draw ∆PQR using SSS construction condition. Step II: With reference to diagonal PR, point S will be opposite to point Q. S is 8 cm away from R. So, with R as centre, draw an arc of radius 8 cm. Step III: S is 6 cm away from P. So, with P as centre, draw an arc of radius 6 cm. Step IV: S should lie on both the arcs. That means it must be the point of intersection of the two arcs. Mark S and complete PQRS. PQRS is the required parallelogram. So, with given measures the parallelogram PQRS can be constructed.

The shapes above are congruent.

• True

• False

Are the two polygons shown in the diagram below congruent?

• Yes

• No

What does it mean when figures are congruent?

• Same shape only

• Same size and shape

• Same shape and the lengths of the sides are the same

• Same amount of sides

To be exactly equal in size and shape.

• Corresponding

• Opposite

• Similar

• Congruent

The symbol for congruence is ______

• =
• ≅
• ≈
• ⋍