Free Printable Practice Final Geometry Apex

1.

What type of reasoning uses a pattern to determine what must be true?

a)

conductive

b)

deductive

c)

conditional

d)

inductive

2.

Which of these angles pairs are congruent because they are alternate interior angles?

a)

3 and 6

b)

2 and 4

c)

3 and 2

d)

1 and 8

3.

Which of the following is the correct definition of an angle?

a)

A shape formed by the intersection of two lines.

b)

A shape formed by two intersecting lines from a common point.

c)

A shape formed by two intersecting rays.

d)

A shape formed by two intersecting lines or rays.

4.

What angle is included by

\overline{AB}

and

\overline{CB}

a)

<A

b)

<B

c)

<C

5.

Which of the following is not a congruence theorem or postulate?

a)

SSS

b)

SAS

c)

ASA

d)

AAA

6.

If two triangles have three pairs of congruent angles, then the triangles are guaranteed to be congruent.

a)

true

b)

false

7.

a)

2, 8 , 12

b)

1, 1, 3

c)

4, 8, 12

d)

4, 16, 24

8.

A triangle with side lengths 10, 21, and 25 is a right triangle.

a)

true

b)

false

9.

What is the length of the side opposite the 30 degree angle?

a)

3

b)

2

c)

$\sqrt{3}$

10.

The ratio adjacent over hypotenuse describes which function?

a)

sine

b)

cosine

c)

tangent

d)

secant

11.

What is sin of 67 degrees?

a)

$\frac{12}{13}$

b)

$\frac{5}{13}$

c)

$\frac{5}{12}$

d)

$\frac{13}{5}$

12.

Two right triangles are similar if the acute angles of one triangle are congruent to the acute angles of the other triangle.

a)

true

b)

false

13.

Suppose a triangle has two sides of length 22 and 25, and the angle between these two sides is 110 degrees. Which equations should you solve to find the length of the third side of the triangle?

a)

$c^2=\ 22^2+25^2-2\left(22\right)\left(25\right)\sin110$

b)

$c^{ }=\ 22^{ }+25^{ }-2\left(22\right)\left(25\right)\cos110$

c)

$c^2=\ 22^2+25^2-2\left(22\right)\left(25\right)\cos110$

d)

$\frac{\sin22}{110}=\sin\ \frac{35}{b}$

14.

What is the name of a polygon that four congruent sides and these angle measures: 50, 130, 50, 130?

a)

square

b)

rhombus

c)

rectangle

d)

trapezoid

15.

a)

$\frac{4}{h}=\frac{12}{5}$

b)

$\frac{5}{h}=\frac{12}{4}$

c)

$\frac{12}{h}=\frac{4}{5}$

d)

$\frac{12}{h}=\frac{5}{4}$

16.

In triangle ABC, m<A=45, m<B=40, and a=18. Which equation should you solve to find b?

a)

$\frac{\sin45}{b}=\frac{\sin40}{18}$

b)

$\frac{\cos45}{b}=\frac{\cos40}{18}$

c)

$\frac{\sin45}{18}=\frac{\sin40}{b}$

d)

$b^2=18^2-2\left(18\right)b\cos45$

17.

If a right triangle DEF is dilated by a scale factor of 4, which of the following statements is not true?

a)

The angles of triangle DEF are congruent to the angles of triangle D'E'F'.

b)

The sides of triangle DEF are congruent to the sides of triangle D'E'F'.

c)

Triangle DEF is similar to triangle D'E'F'.

d)

Triangle D'E'F' is larger than triangle DEF.

18.

If the sum of interior angle measures of a polygon is 900 degrees, how many sides does the polygon have?

a)

4

b)

5

c)

6

d)

7

19.

a)

4

b)

$\frac{1}{2}$

c)

2

d)

8

20.

a)

Yes, because the angles are congruent and proportional.

b)

No, because not all the angles are congruent.

c)

Yes, because the angles are close enough and the sides are proportional.

d)

We cannot tell because the third side is not given.

21.

If <A = 38 degrees, what must the measure of <D be in order for triangle ABC to be similar to triangle DEF?

a)

19 degrees

b)

31 degrees

c)

14 degrees

d)

38 degrees

22.

Which statement is not always true for a parallelogram?

a)

Diagonals are congruent.

b)

Consecutive angles are supplementary.

c)

Opposite sides are congruent.

d)

Opposite angles are congruent.

23.

Find the value of x that makes ABCD a parallelogram.

a)

30

b)

10

c)

5

d)

6

24.

Use the given information to determine which of the following relationships can be proved and why.

$<L\cong<O,\ <M\cong<P,\ \overline{LM}\cong\overline{OP}$

a)

$\Delta LMN\cong\Delta OPQ,\ because\ AA$

b)

$\Delta LMN\cong\Delta OPQ,\ because\ ASA$

c)

$\Delta LMN\sim\Delta OPQ,\ because\ AA$

d)

We cannnot prove any relationship based on these data.

25.

A tree casts a 20-foot shadow. Chico is 5 feet tall and casta a 4 foot shadow. How tall is the tree?

a)

25 ft

b)

40 ft

c)

30 ft

d)

33 ft

26.

$If<ACD\cong<BCD,\ which\ of\ the\ following\ relationships\ can\ be\ proved\ and\ why?$

a)

$\Delta ACD\cong\Delta BCD,\ because\ of\ SAS.$

b)

$\Delta ACD\cong\Delta BCD,\ because\ of\ AAS$

c)

$\Delta ACD\cong\Delta BCD,\ because\ of\ ASA$

d)

There is not enough information to prove a relationship.

27.

In the rectangle, AC = 50 units. What is DE?

a)

100

b)

10

c)

12.5

d)

25

28.

a)

$\frac{7}{24}$

b)

$\frac{25}{7}$

c)

$\frac{7}{24}$

d)

$\frac{24}{25}$

29.

If the bases of an isosceles trapezoid have lengths of 21 and 44, what is the length of the median?

a)

65

b)

32.5

c)

30

d)

15

30.

The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 32 degrees. If the vertical distance from the bottom to the top of the mountain is 802 feet, what is the length of the gondola ride? Round to the nearest foot.

a)

961 feet

b)

1454 feet

c)

1213 feet

d)

606 feet

Practice Final Geometry Apex

Total questions: 30

Worksheet time: 19mins

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