SEMESTER I EXAM : Geometry Fundamentals

What is m∠A?

50°

If x = 5 and 5 = y , then x = y What algebraic equality property justifies the above statement?

transitive

Which of the following sets represent A ∪ B?

{2, 3, 4, 6, 8, 9, 10, 12}

Form a union for the following sets. K = {2, 3, 5, 8} L = {3, 5, 7}

{2, 3, 5, 7, 8}

In the above triangle, which angle has the largest measure?

∠C

You have 3 dogs and they are playful. You decide that dogs are playful. What type of reasoning is this?

inductive

All of the triangles above are _____ triangles.

isosceles

Select the term that best describes the statement: The glass is not always half full.

negation

If p → q is true, then ~ q → ~ p is __________ false.

never

If p → q is true, then ~ p → ~ q is __________ true.

sometimes

If a | | b and c | | d , which pair of angles are congruent?

1 and 16 12 and 13 9 and 11

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

sometimes

What is the length of AB?

square 53

If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles.

supplementary

Which equation would you use to find how high the bird is flying?

tan45°= x/1100

What is m∠WVX?

107°

Which statements about a square are always true?

I got 75% on this question Opposite sides are parallel. All sides are congruent. Its diagonals are ⊥ to each other.

hope this helps <3

I got 98.70 / A

In a triangle, a segment is drawn joining the midpoint of two sides. What is true about this segment?

It is parallel to the 3 rd side.

All math teachers are smart. Ms. Smith is your math teacher, so she is smart. What type of reasoning is this?

deductive

Which of the following can be used as "reasons" in a two-column proof?

definitions algebraic properties given

Select the term that best describes the statement: The grass is blue or the sky is green.

disjunction

If l and m are parallel, which pairs of angles are congruent?

1 and 3 6 and 7 3 and 6

What is the measure of one interior angle in a regular hexagon?

120°

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

14.6

A polygon has 11 sides. What is the sum of the measure of the interior angles of the polygon?

1620°

Which of the following ratios is not equivalent to 6:10?

24/45

Which of the following disjunctions is false ?

3 + 4 = 9 or 5 · 2 = 11

If AB = 3, AD = 5, and DE = 6, what is the length of BC?

3.6

A polygon has 7 sides. What is the sum of the measure of the exterior angles of the polygon?

360°

220 students were asked if they liked chocolate or vanilla ice cream. 140 said they liked chocolate and 120 said they liked vanilla. How many students liked both chocolate and vanilla?

40

The division property of equality could be used to solve which of the following equations?

5 x = 30

Given that ABC ~ EFG, if FG = 7.6 what is the length of ?

5.7

Find x .

6 square 2

Find x .

8

What is the length of AB?

8.3

Which theorem would you use to prove ABE ~ DCE?

AA Similarity

Which method would you use to prove that the two triangles are congruent?

AAS

Given 3 non-collinear points, which of the following statements are not true?

Any of the 3 points can be the intersection of 2 planes. They will be contained in the same line.

Which of the following statements about parallelograms is not always true?

Diagonals are congruent.

LMN is a right triangle.

False

If R , S , and T are collinear and RS + ST = RT , which of the following is true?

S is between R and T .

Given the above, which method would you use to prove ABD ≅ ACD?

SSS

Which of the following is a postulate or theorem used to prove two triangles are congruent?

SSS SAS ASA

ABCD is a rhombus. Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS?

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

ABDC is an isosceles trapezoid. Given only the choices below, which properties would you use to prove ACD ≅ BDC by SSS?

The legs are congruent. The diagonals are congruent.

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

always

Select the term that best describes the statement: The lights are on and nobody is home.

conjunction

The sum of the measure of the interior angles of a polygon is 1080°. What polygon is it?

octagon

Which of the following are undefined terms?

plane point