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Geometry Unit 6 (9th Grade)

Total questions: 57

Worksheet time: 43mins

Name
Class
Date
1.

Which Polygon has 3 sides?

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

e)

Heptagon/Septagon

2.

Which Polygon has 4 sides?

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

e)

Heptagon/Septagon

3.

Which Polygon has 5 sides?

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

e)

Heptagon/Septagon

4.

Which Polygon has 6 sides?

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

e)

Heptagon/Septagon

5.

Which Polygon has 7 sides?

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

e)

Heptagon/Septagon

6.

Which Polygon has 8 sides?

a)

Octagon

b)

Nonagon

c)

Decagon

d)

Dodecagon

e)

nn -gon

7.

Which Polygon has 9 sides?

a)

Octagon

b)

Nonagon

c)

Decagon

d)

Dodecagon

e)

nn -gon

8.

Which Polygon has 10 sides?

a)

Octagon

b)

Nonagon

c)

Decagon

d)

Dodecagon

e)

nn -gon

9.

Which Polygon has 12 sides?

a)

Octagon

b)

Nonagon

c)

Decagon

d)

Dodecagon

e)

nn -gon

10.

Which Polygon has nn sides?

a)

Octagon

b)

Nonagon

c)

Decagon

d)

Dodecagon

e)

nn -gon

11.

The sum of the measures of the interior angles of an nn -gon is 180°⋅(n−2)180\degree\cdot\left(n-2\right)

nn is the number of sides

a)

Polygon Angle-Sum Theorem

b)

Corollary to Polygon Angle-Sum Theorem

c)

Polygon Exterior Angle-Sum Theorem

12.

The measure of each interior angle of a REGULAR nn -gon is 180°⋅(n−2)n\frac{180\degree\cdot\left(n-2\right)}{n}

a)

Polygon Angle-Sum Theorem

b)

Corollary to Polygon Angle-Sum Theorem

c)

Polygon Exterior Angle-Sum Theorem

13.

The sum of the measures of the exterior angles of a Polygon, one at each vertex, is 360°360\degree

a)

Polygon Angle-Sum Theorem

b)

Corollary to Polygon Angle-Sum Theorem

c)

Polygon Exterior Angle-Sum Theorem

14.

Quadrilateral with both pairs of opposite sides that are parallel

a)

Parallelogram

b)

Opposite Sides

c)

Opposite Angles

d)

Consecutive Angles

e)

Diagonal

15.

Types of Shapes: Congruent Sides

a)

Equilateral

b)

Equiangular

c)

Regular

16.

Types of Shapes: Congruent Angles

a)

Equilateral

b)

Equiangular

c)

Regular

17.

Types of Shapes: Congruent Sides and Angles

a)

Equilateral

b)

Equiangular

c)

Regular

18.

Sides that don’t share a vertex

a)

Parallelogram

b)

Opposite Sides

c)

Opposite Angles

d)

Consecutive Angles

e)

Diagonal

19.

Angles that don’t share a side

a)

Parallelogram

b)

Opposite Sides

c)

Opposite Angles

d)

Consecutive Angles

e)

Diagonal

20.

Any 2 angles that share a side

a)

Parallelogram

b)

Opposite Sides

c)

Opposite Angles

d)

Consecutive Angles

e)

Diagonal

21.

A segment that joins non-consecutive vertices

a)

Parallelogram

b)

Opposite Sides

c)

Opposite Angles

d)

Consecutive Angles

e)

Diagonal

22.

If a quadrilateral is a parallelogram, then its opposite sides are congruent

a)

Quadrilateral Opposite Sides Theorem (6.3)

b)

Quadrilateral Consecutive Angles Theorem (6.4)

c)

Quadrilateral Opposite Angles Theorem (6.5)

d)

Quadrilateral Diagonals Theorem (6.6)

e)

Transversal Segments Theorem (6.7)

23.

If a quadrilateral is a parallelogram, then its consecutive angles are supplementary

a)

Quadrilateral Opposite Sides Theorem (6.3)

b)

Quadrilateral Consecutive Angles Theorem (6.4)

c)

Quadrilateral Opposite Angles Theorem (6.5)

d)

Quadrilateral Diagonals Theorem (6.6)

e)

Transversal Segments Theorem (6.7)

24.

If a quadrilateral is a parallelogram, then its opposite angles are congruent

a)

Quadrilateral Opposite Sides Theorem (6.3)

b)

Quadrilateral Consecutive Angles Theorem (6.4)

c)

Quadrilateral Opposite Angles Theorem (6.5)

d)

Quadrilateral Diagonals Theorem (6.6)

e)

Transversal Segments Theorem (6.7)

25.

If a quadrilateral is a parallelogram, then its diagonals bisect each other

a)

Quadrilateral Opposite Sides Theorem (6.3)

b)

Quadrilateral Consecutive Angles Theorem (6.4)

c)

Quadrilateral Opposite Angles Theorem (6.5)

d)

Quadrilateral Diagonals Theorem (6.6)

e)

Transversal Segments Theorem (6.7)

26.

If 3 (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal

a)

Quadrilateral Opposite Sides Theorem (6.3)

b)

Quadrilateral Consecutive Angles Theorem (6.4)

c)

Quadrilateral Opposite Angles Theorem (6.5)

d)

Quadrilateral Diagonals Theorem (6.6)

e)

Transversal Segments Theorem (6.7)

27.

If both pairs of Opposite Sides of a Quadrilateral are congruent, then the Quadrilateral is a Parallelogram

a)

Converse of Quadrilateral Opposite Sides Theorem (6.8)

b)

Converse of Quadrilateral Consecutive Angles Theorem (6.9)

c)

Converse of Quadrilateral Opposite Angles Theorem (6.10)

d)

Converse of Quadrilateral Diagonals Theorem (6.11)

e)

Quadrilateral Congruent Parallel Opposite Sides Theorem (6.12)

28.

If an angle of a Quadrilateral is supplementary to both of its Consecutive Angles, then the Quadrilateral is a Parallelogram

a)

Converse of Quadrilateral Opposite Sides Theorem (6.8)

b)

Converse of Quadrilateral Consecutive Angles Theorem (6.9)

c)

Converse of Quadrilateral Opposite Angles Theorem (6.10)

d)

Converse of Quadrilateral Diagonals Theorem (6.11)

e)

Quadrilateral Congruent Parallel Opposite Sides Theorem (6.12)

29.

If both pairs of Opposite Angles of a Quadrilateral are congruent, then the Quadrilateral is a Parallelogram

a)

Converse of Quadrilateral Opposite Sides Theorem (6.8)

b)

Converse of Quadrilateral Consecutive Angles Theorem (6.9)

c)

Converse of Quadrilateral Opposite Angles Theorem (6.10)

d)

Converse of Quadrilateral Diagonals Theorem (6.11)

e)

Quadrilateral Congruent Parallel Opposite Sides Theorem (6.12)

30.

If the Diagonals of a Quadrilateral bisect each other, then the Quadrilateral is a Parallelogram

a)

Converse of Quadrilateral Opposite Sides Theorem (6.8)

b)

Converse of Quadrilateral Consecutive Angles Theorem (6.9)

c)

Converse of Quadrilateral Opposite Angles Theorem (6.10)

d)

Converse of Quadrilateral Diagonals Theorem (6.11)

e)

Quadrilateral Congruent Parallel Opposite Sides Theorem (6.12)

31.

If 1 pair of Opposite Sides of a Quadrilateral is both congruent and parallel, then the Quadrilateral is a Parallelogram

a)

Converse of Quadrilateral Opposite Sides Theorem (6.8)

b)

Converse of Quadrilateral Consecutive Angles Theorem (6.9)

c)

Converse of Quadrilateral Opposite Angles Theorem (6.10)

d)

Converse of Quadrilateral Diagonals Theorem (6.11)

e)

Quadrilateral Congruent Parallel Opposite Sides Theorem (6.12)

32.

Parallelogram with 4 congruent sides

a)

Rhombus

b)

Rectangle

c)

Square

33.

Parallelogram with 4 right angles

a)

Rhombus

b)

Rectangle

c)

Square

34.

Parallelogram with 4 congruent sides and right angles

a)

Rhombus

b)

Rectangle

c)

Square

35.

If a Parallelogram is a Rhombus, then its diagonals are Perpendicular

a)

Rhombus Perpendicular Diagonals Theorem (6.13)

b)

Rhombus Diagonal Bisectors Theorem (6.14)

c)

Rectangle Diagonals Theorem (6.15)

36.

If a Parallelogram is a Rhombus, then each pair of diagonals bisect the opposite angles

a)

Rhombus Perpendicular Diagonals Theorem (6.13)

b)

Rhombus Diagonal Bisectors Theorem (6.14)

c)

Rectangle Diagonals Theorem (6.15)

37.

If a Parallelogram is a Rectangle, then its Diagonals are Congruent

a)

Rhombus Perpendicular Diagonals Theorem (6.13)

b)

Rhombus Diagonal Bisectors Theorem (6.14)

c)

Rectangle Diagonals Theorem (6.15)

38.

If the diagonals of a Parallelogram are Perpendicular, then the Parallelogram is a Rhombus

a)

Converse of Rhombus Perpendicular Diagonals Theorem (6.16)

b)

Converse of Rhombus Diagonal Bisectors Theorem (6.17)

c)

Converse of Rectangle Diagonals Theorem (6.18)

39.

If 1 diagonal of a Parallelogram bisects a pair of Opposite Angles, then the Parallelogram is a Rhombus

a)

Converse of Rhombus Perpendicular Diagonals Theorem (6.16)

b)

Converse of Rhombus Diagonal Bisectors Theorem (6.17)

c)

Converse of Rectangle Diagonals Theorem (6.18)

40.

If the diagonals of a Parallelogram are Congruent, then the Parallelogram is Rectangle

a)

Converse of Rhombus Perpendicular Diagonals Theorem (6.16)

b)

Converse of Rhombus Diagonal Bisectors Theorem (6.17)

c)

Converse of Rectangle Diagonals Theorem (6.18)

41.

Quadrilateral with 1 pair of Opposite Parallel Sides

a)

Trapezoid

b)

Isosceles Trapezoid

c)

Kite

42.

Trapezoids with 1 pair of Opposite Parallel Sides and Congruent Legs

a)

Trapezoid

b)

Isosceles Trapezoid

c)

Kite

43.

Quadrilateral with 2 pairs of Congruent Adjacent Sides and no Congruent Opposite Sides

a)

Trapezoid

b)

Isosceles Trapezoid

c)

Kite

44.

Parts of a Trapezoid: 2 Parallel Sides

a)

Bases

b)

Legs

c)

Base Angles

d)

Mid-segment

45.

Parts of a Trapezoid: 2 Non-Parallel Sides

a)

Bases

b)

Legs

c)

Base Angles

d)

Mid-segment

46.

Parts of a Trapezoid: 2 angles that share a base (come in pairs)

a)

Bases

b)

Legs

c)

Base Angles

d)

Mid-segment

47.

Parts of a Trapezoid: Segment formed by joining midpoints of the legs

a)

Bases

b)

Legs

c)

Base Angles

d)

Mid-segment

48.

If a quadrilateral is an Isosceles Trapezoid, then each pair of base angles is congruent

a)

Isosceles Trapezoid Base Angles Theorem (6.19)

b)

Isosceles Trapezoid Diagonals Theorem (6.20)

c)

Trapezoid Mid-segment Theorem (6.21)

49.

If a quadrilateral is an Isosceles Trapezoid, then its diagonals are congruent

a)

Isosceles Trapezoid Base Angles Theorem (6.19)

b)

Isosceles Trapezoid Diagonals Theorem (6.20)

c)

Trapezoid Mid-segment Theorem (6.21)

50.

If a quadrilateral is a Trapezoid, then:

1. Mid-segment is parallel to the 2 bases.

2. The length of the mid-segments is the average of the lengths of the bases.

* Mid-segment = 12\frac{1}{2} (Base 1 + Base 2)

* 2 Mid-segment = Base 1 + Base 2

a)

Isosceles Trapezoid Base Angles Theorem (6.19)

b)

Isosceles Trapezoid Diagonals Theorem (6.20)

c)

Trapezoid Mid-segment Theorem (6.21)

51.

If a quadrilateral is a Kite, then its Diagonals are Perpendicular

a)

Kite Perpendicular Diagonals Theorem (6.22)

b)

Kite Non-Congruent Side Angles Theorem

c)

Kite Congruent Side Angles Theorem

d)

Kite Congruent Angles Diagonal Theorem

52.

If a quadrilateral is a Kite, then the Angles formed by Non-Congruent Sides are Congruent

a)

Kite Perpendicular Diagonals Theorem (6.22)

b)

Kite Non-Congruent Side Angles Theorem

c)

Kite Congruent Side Angles Theorem

d)

Kite Congruent Angles Diagonal Theorem

53.

If a quadrilateral is a Kite, then the Angles formed by Congruent Sides are bisected by the Diagonal

a)

Kite Perpendicular Diagonals Theorem (6.22)

b)

Kite Non-Congruent Side Angles Theorem

c)

Kite Congruent Side Angles Theorem

d)

Kite Congruent Angles Diagonal Theorem

54.

If a quadrilateral is a Kite, then the Diagonal through the Congruent Angles is bisected by the other Diagonal

a)

Kite Perpendicular Diagonals Theorem (6.22)

b)

Kite Non-Congruent Side Angles Theorem

c)

Kite Congruent Side Angles Theorem

d)

Kite Congruent Angles Diagonal Theorem

55.

Distance Formula

a)

d=(y2−y1)2+(x2−x1)2d=\sqrt[]{\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2}

b)

M=(x1+x22,y1+y22)M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

c)

m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}

56.

Midpoint Formula

a)

d=(y2−y1)2+(x2−x1)2d=\sqrt[]{\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2}

b)

M=(x1+x22,y1+y22)M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

c)

m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}

57.

Slope Formula

a)

d=(y2−y1)2+(x2−x1)2d=\sqrt[]{\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2}

b)

M=(x1+x22,y1+y22)M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

c)

m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}

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