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End of the Year Geometry Project

Total questions: 25

Worksheet time: 17mins

Name
Class
Date
1.

Find the midpoint of a line segment with endpoints (3,4) and (8,1).

a)

(2.5,5.5)

b)

(-5,3)

c)

(5.5,2.5)

d)

(5,3)

2.

Are the lines parallel, perpendicular, or neither?

y=2x-5/9

y=-5/9x+2

a)

Parallel

b)

Perpendicular

c)

Neither

3.

∠ABC measures 72 degrees. If ∠ABD measures 36 degrees, then Ray BD is ________.

a)

A midpoint ray

b)

An angle protractor

c)

An angle midpoint ray

d)

An angle bisector

4.

∠1 and ∠2 are ________. Select all that apply.

a)

Vertical angles

b)

Horizontal angles

c)

Complementary angles

d)

Supplementary angles

5.

∠1 and ∠5 are ________.

a)

Alternate Interior angles

b)

Consecutive angles

c)

Corresponding angles

d)

Alternate Exterior angles

6.

What type of rigid transformation is shown?

(a)  

7.

The sum of all interior angles in a triangle always equals (a)   degrees.

8.

The sum of two sides of a triangle cannot be _________. Select all that apply.

a)

Less than the third side

b)

Greater than the third side

c)

Equal to the third side

d)

Greater than the third side multiplied by 2

9.

What kind of triangle is shown?

a)

Right

b)

Scalene

c)

Obtuse

d)

None of the above

10.

Parallelogram ABCD is translated 3 units left and 1 unit down. What are the coordinates of Parallelogram A'B'C'D'?

a)

(4,-3),(10,-3),(12,-6),(6,-6)

b)

(-4,3),(-10,3),(-12,6),(-6,6)

c)

(3,4),(3,10),(6,12),(6,6)

d)

(1,2),(7,2),(9,5),(3,5)

11.

Which type of rigid transformation was performed on ΔABC to result in ΔA'B'C'?

a)

Translation of 45°

b)

Reflection of 180°

c)

Rotation of 180°

d)

Rotation of 90°

12.

Which transformation was performed on ΔABC to result in ΔA'B'C'? Dilation with scale factor of (a)   .

13.

What is the center of dilation in the transformation shown?

(a)  

14.

∆A'B'C' is the result of two transformations. Which two transformations were performed on ∆ABC to result in ∆A'B'C'?

a)

Dilation

b)

Reflection

c)

Translation

d)

Rotation

15.

What is the equation to solve for the hypotenuse shown? 

a)

4²+6²=?

b)

4²+6²/2=?

c)

4²+6²=?

d)

4²+6²/2=?

16.

These two triangles are congruent by _________.

a)

SAS

b)

SSS

c)

RL

d)

HL

17.

Find the measure of ∠A using the length of the hypotenuse. Select all that apply.

a)

sin-1(15/17)

b)

tan-1(15/8)

c)

sin-1(8/17)

d)

cos-1(8/17)

18.

Find the area of the quadrilateral shown.

(a)  

19.

The quadrilateral shown is a parallelogram. Solve for x.

(a)  

20.

Which equation can be used to find the area of a kite?

a)

A=1/2(b₁+b₂)h

b)

A=bh

c)

A=1/2(d₁+d₂)h

d)

A=1/2(d₁*d₂)

21.

Find the area of the circle shown using the radius.

a)

113.04

b)

75.36

c)

118.32

d)

97.49

22.

Find the area of the shaded sector inside the circle.

a)

46.89

b)

200.96

c)

154.07

d)

42.67

23.

Find the length of Arc BC using central angle ∠BAC and the circumference of the circle.

a)

13.94

b)

11.72

c)

9.48

d)

10.51

24.

The net of a three-dimensional figure is shown. Which three-dimensional figure does the net belong to.

a)

Triangular Pyramid

b)

Rectangular Prism

c)

Triangular Prism

d)

Rectangular Pyramid

25.

Find the volume of the cylinder shown.

a)

78.25

b)

117.75

c)

92.35

d)

47.15