University:
Wilkes University
Course:
MTH 343 | Geometry
Academic year:

2022
Views:

316

Pages:

2
Author:

rezancuk2j

Quadrilateral A. Choose the Correct Answer: 1. Which of the following is always true for all quadrilaterals? a) All sides are equal b) All angles are right angles c) Sum of interior angles is 360° d) Opposite angles are equal 2. A quadrilateral with both pairs of opposite sides parallel is called a: a) Trapezium b) Kite c) Parallelogram d) Rhombus 3. Which of the following quadrilaterals always has diagonals that bisect each other at right angles? a) Rectangle b) Square c) Trapezium d) Parallelogram B. Write the Missing Terms to Complete the Sentences: 1. A quadrilateral has ______ sides and ______ angles. 2. A ______ is a quadrilateral with exactly one pair of parallel sides. 3. The sum of the interior angles of a quadrilateral is always ______ degrees. 4. A square has ______ equal sides and all angles are ______ degrees. 5. The diagonals of a rhombus are ______ and bisect each other at ______ angles. C. Figure out the answers to these questions: 1. Draw a rough sketch of a kite and label all its properties. 2. Classify the following shapes into quadrilaterals and non-quadrilaterals: triangle, square, trapezium, pentagon, and rhombus. 3. If one angle of a quadrilateral is 90°, and the other three are equal, find the measure of each of the equal angles. 4. Identify the quadrilateral whose diagonals are equal and bisect each other. Explain why. 5. A parallelogram has one angle of 60°. Without using protractor, find all the other angles. Justify your reasoning. D. Mark each sentence with a True (‫ݲ‬ ‫ )ݲ‬or False (‫)ݶ‬: 1. A quadrilateral can have three right angles. 2. The diagonals of a rectangle are always equal. 3. A square is also a parallelogram. 4. A trapezium has two pairs of parallel sides. 5. The sum of exterior angles of any quadrilateral is 360°. E. Challenge yourself with these questions: 1. Create a table to compare the properties of square, rectangle, rhombus, and parallelogram. 2. Name a real-life object shaped like a trapezium and explain how you identified it. 3. Make a quadrilateral using matchsticks where no sides are equal. Name the type of quadrilateral formed. 4. Can a quadrilateral have all angles less than 90°? Justify your answer. 5. If one angle of a parallelogram is 75°, find all the other three angles with proper steps.