Isosceles Trapezoid Worksheet
Explore the properties of isosceles trapezoids, including angles, sides, and diagonals, through various exercises for Grade 7 math students.
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Isosceles Trapezoid Properties
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following statements is true about an isosceles trapezoid?
All four sides are equal.
Only one pair of opposite sides is parallel.
The non-parallel sides (legs) are equal in length.
All angles are right angles.
2. In an isosceles trapezoid, the base angles are:
Always 90 degrees
Always acute
Equal in measure
Complementary
3. An isosceles trapezoid has one pair of sides and one pair of non-parallel sides called .
4. The diagonals of an isosceles trapezoid are in length.
5. Consider an isosceles trapezoid ABCD where AB is parallel to DC. If angle A measures 65 degrees, what are the measures of angles B, C, and D?
Angle B:
Angle C:
Angle D:
6. Draw an isosceles trapezoid and label its parallel sides (bases) and non-parallel sides (legs).
7. All trapezoids are isosceles trapezoids.
True
False
8. The base angles on the same base of an isosceles trapezoid are congruent.
True
False
9. An isosceles trapezoid has bases of length 10 cm and 16 cm. If the height of the trapezoid is 4 cm, what is the length of each leg? (Hint: Draw altitudes from the shorter base to the longer base to form a rectangle and two right triangles.)