Download Jan 4 HWK Geom Basics

Name ___________________________________________________________Date ________________Class Pd_______
Geometry Basics
Directions: Solve each problem in pencil. You MUST SHOW ALL WORK to receive credit!
1. Which of the figures below is a quadrilateral with 2
pairs of parallel sides and no right angles?
2. Mr. Smith gave each of these children a polygon.
He asked those who had parallelograms to stand up.
Which children should stand up?
A. Jan and Sam
C. Stan, Jan and Sam
B. Sam and Trea
D. Jan, Lea and Sam
3. Which figure always has four equal sides?
A. Circle
C. Rectangle
B. Hexagon
D. Square
4. ∆ 𝐷𝐸𝐹 is isosceles. Its perimeter is 52 cm. The length
of a side of ∆𝐷𝐸𝐹 is 18 cm. Which is the smallest possible
length of another side of ∆𝐷𝐸𝐹?
A. 15 cm B. 16 cm C. 17 cm D. 18 cm
5. An isosceles triangle MUST have:
A. 4 sides that are the same length
B. 3 sides that are the same length
C. 2 sides that are the same length
D. No sides that are the same length
6. One side of a rectangle is 8 feet long. Another side of
the rectangle is 10 feet long. What are the lengths of the
other 2 sides of the rectangle?
A. They could be any length
B. 10 feet and 8 feet
C. 10 feet and 10 feet
D. 8 feet and 8 feet
7. Which statement about quadrilaterals is true?
A. Every rectangle is also a parallelogram.
B. Every parallelogram is also a rectangle.
C. Every rectangle is also a rhombus.
D. Every rhombus is also a rectangle.
8. Carrie’s favorite shape to draw is a hexagon. Which of
the following describes a hexagon?
A. A shape with six sides.
B. A shape with three sides.
C. A shape with five sides.
D. A shape with eight sides.
9. Jessica was grouping shapes together for an art project.
If she grouped all of the squares together, what rule
should she write that would apply only to squares?
A. They have two pairs of opposite sides parallel.
B. They have four right angles.
C. They have sides that are all congruent.
D. They have four right angles and all sides are
congruent.
10. Triangle WXY has the properties listed below.
 𝑚∠𝑊 + 𝑚∠𝑌 = 100°
 𝑚∠𝑊 = 𝑚∠𝑌
Which of the following best describes triangle WXY?
A. Scalene and acute
B. Scalene and obtuse
C. Isosceles and acute
D. Isosceles and obtuse
Name ___________________________________________________________Date ________________Class Pd_______
Geometry Basics
Directions: Solve each problem in pencil. You MUST SHOW ALL WORK to receive credit!
11. Two properties of a quadrilateral are listed below.
 The quadrilateral always has 4 congruent angles
 The quadrilateral does NOT always have 4
congruent sides
Which of the following quadrilaterals has BOTH
properties?
A. Square
C. Rectangle
B. Rhombus
D. Trapezoid
12. A shape has
 Exactly four angles
 Exactly four sides, and
 Sides that are all the same length
Which could be the shape?
A. Triangle
C. Hexagon
B. Pentagon
D. Rhombus
13. Which of the following describes an octagon?
A. A shape with six angles
B. A shape with five angles
C. A shape with eight angles
D. A shape with three angles
14. Which property MUST BOTH a rectangle and rhombus
have?
A. 4 right angles
B. 4 congruent sides
C. 2 pairs of acute angles
D. 2 pairs of parallel sides
15. Which shape has the GREATEST number of sides?
A. Decagon
C. Heptagon
B. Pentagon
D. Quadrilateral
16. Felicia drew a polygon.
 Each side of her polygon has the same length
 There are no parallel sides in her polygon
Which of the following could be the polygon Felicia drew?
A. Equilateral triangle
C. Trapezoid
B. Right triangle
D. Rhombus
17. Which of the following is a plane figure with 6 sides, 6
obtuse angles, and 6 vertices?
18. Which statement correctly compares this
parallelogram and this rectangle?
A. Both figures are polygons with four right angles.
B. Both figures are polygons with pairs of parallel
opposite sides.
C. Both figures are polygons whose interior angles
total 180 degrees.
D. Both figures are polygons with at least two acute
angles.