unit 6 - semester review and exam - test #6 quizlet

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

1 and 8 6 and 8 5 and 7 Teacher Only Corresponding Angles: 2 6 and / 8,2 5 and 27 Alternate Interior Angles: Z 1 and 8

What is mzWVX?

107° Teacher Only m <WVX + 50 - 157 m <WVX = 107

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

108°

ABCDE and FGHJE are similar pentagons. If the perimeter of FGHJE is 8.2, what is the perimeter of ABCDE?

16.4

Which of the following ratios is not equivalent to 6:9?

18/24

A polygon has 12 sides. What is the sum of the measure of the interior angles of the polygon?

1800°

What is the length of AB ?

2 V26 Teacher Only First, find the diagonal of the rectangular base:

Students were surveyed about pizza or burgers. 120 said they liked pizza and 100 said they liked only burgers. If 30 students said they liked both, how many students were surveyed?

220 Teacher Only Pizza: 120 Hamburger: 100 Total: 220

What is mzA?

35° Teacher Only 360 -85 -130 = 145 m<A+145° = 180 m<A= 35

A polygon has 6 sides. What is the sum of the measure of the exterior angles of the polygon?

360° Teacher Only The sum of the exterior angles of a hexagon is 360°

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

4 and 13 13 and 16 5 and 12

If AB = 4, AD=5, and DE = 6, what is the length of BC ?

4.8

Which of the following disjunctions is false ?

4•3= 11 or 4 +5= 10

Find x.

5

Given that A ABC - A DEF, if EF = 7.5 what is the length of BC ?

5

What is the length of DB ?

5.3

Find x.

6.

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

ASA SAS AAS Teacher Only Three postulates or theorems used to prove triangles are congruent: ASA, AAS, and SAS.

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

Diagonals are perpendicular.

A LMN is a right triangle.

False Teacher Only If the triangle is a right triangle, it can be proven by using the Pythagorean Theorem.

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

Its length is 1/2 the 3 rd side.

J,K, and L are collinear, and K is between J and L. Which of the following is true?

JK+ KL = JL Teacher Only Betweenness of points: Point K is between J andL if K, J, and L are collinear and the equation JK + KL = JL is true, where JK, KL, and JL are the distances between points J and K, K and L, and J and L, respectively.

Which statements about a square are always true?

Opposite sides are parallel. All 4 angles are 90°. Its diagonals are congruent. Its diagonals bisect each other. Teacher Only Square: a parallelogram with four equal sides, bisecting and perpendicular diagonals, and four right angles.

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

SAS

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

SAS Teacher Only AD= AD by the reflexive property of congruence

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

SAS Teacher Only The two triangles are congruent by SAS (the angle set is congruent by vertical angles).

Which theorem would you use to prove A ABE - A DCE?

SAS Similarity

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

The diagonals bisect each other. All sides are congruent. Teacher Only el In a rhombus, the diagonals are perpendicular bisectors.

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

The legs are congruent. The base angles are congruent.

Given 3 non-collinear points, which of the following are true?

There is only 1 plane that contains all 3 points. Only one line can be drawn containing any 2 of the points. Teacher Only Given three non-collinear points: there is only one plane that contains all three points and any two of the points defines a line entirely within the plane.

If the exterior sides of two adjacent angles are perpendicular, then the angles are angles.

complementary

Select the term that best describes the statement: If the lights are off then someone is at home.

conditional Teacher Only If the lights are off then someone is at home. The words, if and then , are indicator of a conditional statement.

All children must go to school. Your sister is 8, so she is in school. What type of reasoning is this?

deductive Teacher Only Deductive Reasoning: The process of making a conclusion by fitting a specific example into a general statement.

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

definitions given postulates Teacher Only HTT Only definitions, postulates, or previously proven theorems can be used as general statements to support conclusions made in proving statements by deductive reasoning.

Select the term that best describes the statement: The cat is away or the mice are playing.

disjunction Teacher Only The cat is away or the mice are playing. The word, or, is an indicator of a disjunction.

The sum of the measure of the interior angles of a polygon is 720°. What polygon is it?

hexagon

All of your friends have a cell phone. You decide that everyone has a cell phone. What type of reasoning is this?

inductive Teacher Only Inductive Reasoning: The process of making a general conclusion based on specific sampling.

Select the term that best describes the statement: The grass is not blue.

negation Teacher Only Negation: If p is a statement, the new statement, not p or p is false , is called the negation of p

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

never Teacher Only Equilateral Triangle: A triangle that contains three congruent sides and three congruent, acute angles.

-38 = -38 What algebraic equality property justifies the above statement?ood

reflexive Teacher Only Reflexive Property of Equality: a = a

All of the triangles above are triangles.

scalene Teacher Only Scalene Triangle: A triangle that contains no congruent angles or sides. The triangle could be also be defined as acute, obtuse or right

Which of the following are defined terms?

segment angle Teacher Only A segment is considered a defined term because it has finite length. An angle is considered a defined term because it is the space between two intersecting line.

In the above triangle, which side is longest?

side 1

If p - q is true, then -q-p is true.

sometimes

If p q is true, then -p -q is false.

sometimes

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

sometimes Teacher Only Scalene Triangle: A triangle that contains no congruent angles or sides. The triangle could be also be defined as acute, obtuse or right.

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

tan35° = x/1200

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

x/7 = -56

Form a union for the following sets. M= {1, 2, 4, 8} N= {2, 5, 8}

{1, 2, 4, 5, 8} Teacher Only A union of sets is a set containing all elements of all sets being considered. MỤN {1, 2, 4, 5, 8}

Which of the following sets represent L N M?

{15, 30} Teacher Only LUM defines a conjunction. The numbers that occur in L AND M: 15, 30.