Final Exam Geometry

If l and m are parallel, which pairs of angles are supplementary? 1 and 6 1 and 2 6 and 7 3 and 7

1 and 2 6 and 7 3 and 7

If AB = 1, BD = 4, and DE = 6, what is the length of BC ? 1.5 1.4 2 1.2

1.2

If a | | b and c | | d , which pair of angles are congruent? 5 and 8 10 and 12 1 and 3 4 and 9

10 and 12 1 and 3

he division property of equality could be used to solve which of the following equations? 4 -x= 7 x/5= 9 x2+ 7x+ 6 = 0 10x= 3

10x= 3

What is the measure of one interior angle in a regular hexagon? 108° 120° 36° 360°

120°

The sum of the measure of the interior angles of a polygon is 1980°. What polygon is it? 12-gon 11-gon 10-gon 13-gon

13-gon

ABCDE and FGHJE are similar pentagons. If the perimeter of FGHJE is 7.3, what is the perimeter of ABCDE ? 15 14 14.6 14.5

14.6

A regular polygon has 10 sides. What is the measure of each interior angle of the polygon? 72° 1440° 36° 144°

144°

Which of the following ratios is not equivalent to 6:18? 18/6 6/18 9/27 3/9

18/6

If mAC 93°, and mBD= 39°, what is m∠ BED ? 27° 108° 54° 32°

27°

ABDC is a trapezoid. = 2.5, and = 4.5. What is the length of CD? 3.5 2.0 7.0 3.75

3.5

350 students were asked if they liked soccer or football. 200 said they liked soccer, and 180 said they liked football. How many students liked both soccer and football? 170 150 30 20

30

If mAC= 80°, and m∠ BED = 25°, what is mBD? 30° 20° 65° 55°

30°

If m∠ BAC = 60° what is m∠ DBC ? 60° 90° 15° 30°

30°

A polygon has 9 sides. What is the sum of the measure of the exterior angles of the polygon? 1620° 1260° 810° 360°

360°

Which of the following disjunctions is false ? 7 + 6 = 13 or 5 · 2 = 10 5 · 6 = 30 or 3 + 4 = 7 8 + 3 = 11 or 5 · 4 = 23 4 - 3 = 2 or 6 · 3 = 9

4 - 3 = 2 or 6 · 3 = 9

Which of the following is not a postulate or theorem used to prove two triangles are congruent? AAA AAS ASA SSA

AAA and SSA

Given the above, which method would you use to prove AEC ≅ BED? AAS ASA SSS SAS

AAS

Which method would you use to prove that the two triangles are congruent? ASA AAS SAS SSS

ASA

Based on the information above, which statement is true? BD ⊥ AC BC=AC BC=1/2 DE AD=1/2 AE

BC=1/2 DE

Given three non-collinear points, which of the following is always true? They form a line. They are not coplanar. There is exactly one plane that contains all three points. They are contained in more than one plane.

There is exactly one plane that contains all three points.

Determine if the statement is always, sometimes, or never true: An equilateral triangle is a right triangle. never always sometimes

never

If q→ p is true, then ~ p → ~ q is _____ false. never sometimes always

never

Which of the following is an inscribed angle? ∠BCE ∠AEG ∠EGD ∠ADG

∠AEG

Given that ABC ~ EFG, if BC = 5, and FG = 12.5, what is the length of EH? 4.5 5 5.5 6

5

What is m∠VWX? 75° 25° 119° 69°

69°

If AE = 35, CE = 25, and AB = 30, what is the length of DE ? 6 7 5 8

7

What is m∠A? 45° 77° 103° 35°

77°

Find x . 8 4 √2 √8 16

8

If mABC = 184°, what is m∠ ABC ? 88° 90° 92° 84°

88°

If mCD = 143°, and mAB= 39°, what is m∠ DEC ? 90° 88° 89° 91°

91°

Which of the following statements about parallelograms are always true? Diagonals are congruent. Adjacent angles are supplementary. Area = length x width. Opposite sides are congruent.

Adjacent angles are supplementary. Opposite sides are congruent.

ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by ASA? Opposite angles are congruent. All sides are congruent. Opposite sides are | |. The diagonals bisect each other.

All sides are congruent. Opposite sides are | |.

Which of the following is a negation of the statement below? All students like math. All students do not like math. No students do not like math. Some students like math. All students like science.

All students do not like math.

If AB + BC = AC , and A, B, and C are collinear, which of the following is true? AC=BC B is between A and C B is the midpoint of AC A is between B and C

B is between A and C

Which ray is opposite to ED ? EA EC EB AE

EA

LMN is a right triangle. True False

False

Which of the following is the contrapositive of the conditional below? If 3 + 4 = 6, then 2 · 5 = 10. If 3 + 4 ≠ 6, then 2 · 5 = 10. If 2 · 5 ≠ 10, then 3 + 4 ≠ 6. If 2 · 5 = 10, then 3 + 4 = 6. If 3 + 4 ≠ 6, then 2 · 5 ≠ 10.

If 2 · 5 ≠ 10, then 3 + 4 ≠ 6.

Which statements about a rhombus are always true? All 4 angles are 90°. Its diagonals bisect each other. Its diagonals are ⊥ to each other. Its diagonals are congruent.

Its diagonals bisect each other. Its diagonals are ⊥ to each other.

Which theorem would you use to prove ABE ~ DCE? AA Similarity ASA Similarity SAS Similarity SSS Similarity

SAS Similarity

Which method would you use to prove that the two triangles are congruent? AAS ASA SAS SSS

SSS

If two angles are supplementary, then the angles _____. add to 90° are congruent are vertical add to 180°

add to 180°

Which of the following can be used as "reasons" in a two-column proof? negation algebraic properties inductive reasoning definitions

algebraic properties definitions

All dogs are mammals. Your pet is a dog, so it is a mammal. What type of reasoning is this? inductive deductive

deductive

Select the term that best describes the statement: It's raining or it's windy. conditional disjunction negation conjunction

disjunction

All of your friends likes math. You decide that everyone likes math. What type of reasoning is this? deductive inductive

inductive

What type of triangle is the figure above? isosceles scalene acute obtuse

scalene obtuse

Determine if the statement is always, sometimes, or never true: A scalene triangle is an acute triangle. never always sometimes

sometimes

If p → q is true, then q → p is _____ true. sometimes never always

sometimes

If 9 = c , then c = 9. What algebraic equality property justifies the above statement? multiplication transitive reflexive symmetric

symmetric

Which equation would you use to find how high the airplane is flying? cos31° = x/4872 tan31° = 4872/x cos31° = 4872/x tan31° = x/4872

tan31° = x/4872

Find x . √3 3√3 1.5 2

√3

What is the length of DB ? 2 √3 2√ 3 1.5

√3

What is the length of AB ? 4 √35 6 √17

√35

In the above triangle, which angle has the largest measure? ∠A ∠B ∠C

∠A

The hexagon on the right is the image of the hexagon on the left. What transformation would result in this image? rotation translation dilation reflection

translation reflection

What is the union of the following sets? G = {12, 14, 16, 18} H = {13, 15, 17, 18} {18} {12, 13, 14, 15, 16, 17} { } {12, 13, 14, 15, 16, 17, 18}

{12, 13, 14, 15, 16, 17, 18}

Which of the following sets represent A B? {4, 6, 8, 16, 18} {12, 24} {1, 2, 5, 6, 9} {4, 6, 8, 12, 16, 18, 24}

{12, 24}