• Every trapezoid is a quadrilateral. • Polygon W is not a quadrilateral. Which conclusion can be made using both O Polygon W is not a parallelogram. Polygon W is a pentagon. Polygon W is not a trapezoid.

• Every trapezoid is a quadrilateral. • Polygon W is not a quadrilateral. Which conclusion can be made using both O Polygon W is not a parallelogram. Polygon W is a pentagon. Polygon W is not a trapezoid.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.CT: Test

Problem 18CT: Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU...

See similar textbooks

Related questions

Q: 2. If a figure is a circle, then it is not a polygon. Statement Explanation Converse Inverse…

A: We have given p: figure is a circle, and q: figure is not a polygon ¬p is figure is not a circle ¬q…

Q: Which grid shows only a translation of the shaded polygon to croata the unshaded polygon? ロ of

A: Given

Q: 2. Determine if the polygons are similar. Justify your answer with numerical evidence. S 55 154 40…

Q: What is the first sentence of an indirect proof of the statement shown? 2. AABC is equilateral. 4. a…

A: In indirect proof of statement, 1st step is to write negation of given statement and with all the…

Q: bns DEF? If they are congruent, by what theorem are they congruent? O Yes, the two triangles are…

A: Given problem:- Given triangle ABC and triangle DEF, do the conditions m∠C= m ∠E , AC EF, and BC=…

Q: If a polygon is convex, then all its points must lie inside the interior of each of its vertex…

A: Properties of the polygon To find which are true and to give examples.

Q: 4. In a convex 16-gon: a. How many diagonals can be drawn from 1 vertex? b. How many triangles are…

A: We can solve this problem by observing the pattern by taking some polygons with smaller number of…

Q: A convex polygon is a polygon such that any line joining two non-adjacent corners lies inside the…

A: Let P(n) denote all the convex polygons with n vertices (n-sided polygons) having the angles that…

Q: Steve found a piece of metal that has eight sides, and none of them have an interior angle that is…

A: Convex octagon – An octagon having not any internal angles more than 180°. Concave octagon – An…

Q: All four-sided polygons are quadrilaterals. Figure ABCD has four sides. Therefore, it is a…

Q: What Statement is NOT True about Rectangles?* O Diagonals Are Perpendicular O Rectangles are also…

Q: Quadrilateral ABCD is inscribed in this circle. Which of the statements must be true? D

A: Property to be used The sum of two opposite angles in a cyclic quadrilateral is equal to…

Q: A prism is a polyhedron. O True False

Q: 33) Draw, if possible,an a)isosceles obtuse thangle b) equalateral right triangle 6).

A: Go through the definations of the different triangles.

Q: 12. Beth drew four quadrilaterals. Which of the quadrilaterals that she drew is a regular polygon?…

Q: A diagonal in a polygon is a line segment that is drawn from a vertex to a nonadjacent vertex. If n…

A: Polygon has n sides and therefore n vertices. So total possible lines we can make = nC2 Out of which…

Q: A polygon with four sides is called a quadrilateral. Consider the figure and the dashed auxiliary…

A: Given: Provided figure is:

Q: tion Every regular polygon can be divided into as many congruent triangles as it has sides. O True…

A: True

Q: 3. Claudia drew AABC and then reflected it over line f to create AHGF. Claudia concluded that the…

A: given,

Q: Find the sum of the measures of the interior angles of the indicated convex polygon. 2. 17-gon 3.…

Q: A regular polygon can be defined as a polygon that has regular number of sides. O True O False

Q: 9. Determine the validity of an argument: A polygon is regular or a polygon has a side which is…

A: Given: Let's determine the validity of given arguments: A polygon is regular or a polygon has a side…

Q: The circumference, C, of any circle divided by its diameter, d, is r. The radius, r, of any circle…

Q: Which statement is true? (There is no image.) O All quadrilaterals are parallelograms. O All…

A: The objective is to find the right option.

Q: John wrote a proof for the congruency of the opposite sides of a parallelogram as shown below. Which…

A: Given that:

Q: What does the acronym CPCTC stands for? O Corresponding Parts of Congruent Triangles are Congruent O…

Q: I'm not sure what question 1 means or how to do it

A: Given lines are

Q: 1:Calculate the measure of one interior angle of a regular 30-gon. 2: if the measure of interior…

A: Sum of all interior angles of regular polygon is = (n-2)180°

Q: 10. If the polygon in the figure shown above is regular, what is the value of x ? HINT nis the…

Q: 18) An equilateral triangle is a regular polygon. True False

A: We have to find whether the statement is true not.

Q: Write an equivalent statement. 3. If a polygon is regular, then all its angles are congruent. 4.…

A: Equivalent statements are those which hold the same meaning as the initial statement. A statement…

Q: Geometric figures are congruent if they are the same size and shape. Corresponding angles and…

A: 1. Measurement 2. Sides

Q: Prove that the sum of the interior angles of a convex n-gon is (n-2)-180°. (A convex n-gon is a…

Q: 4. Quadrilateral FGHJ and circle 0 are shown. Given: MZHJF = 84° Which statement, if true, would…

Q: 8) Given the following angles of a regular polygon, 120°, (3x+5)°, (x)°, 45°, 135°, (x-45)°, and…

Q: A line segment connecting any two nonadjacent vertices of a polygon is called a diagonal of the…

A: For quadrilaterals, there are only 2 non-adjacent vertices. For example: In ABCD, A and C are…

Q: One of the interior angels of a given regular polygon is 160 degrees. What do you call such polygon?…

A: Given one of the interior angles of a given regular polygon is 160 degrees.

Q: Match each term with the corresponding statement for the given conditional. If a polygon is regular,…

A: Given statement is "If a polygon is regular, then all of its sides are congruent.

Q: What soild is generated if the polygon with verticles A (3,1), B (9,1) and C(3,7) is roated about AC

Q: How many diagonals does a regular 20-gon have? Note: A regular 20-gon is a polygon. It has 20 sides…

A: Topic = Geometry

Q: The following is a proof showing that if a quadrilateral is a parallelogram, both pairs of opposite…

A: This question is related to congruence and angle property.

Q: 14. Determine whether the polygons are similar. 26 20 20 Q 16 15 12 Yes No Clear s

A: The solution are as follows

Q: The vertices of a quadrilateral are M(–1, 1), N(1, –2), O(5, 0), and P(3, 3). Which statement…

A: Given query is to find the shape of quadrilateral.

Q: statements

A: We will check of they're regular polygons.

Q: Which statement matches the discovery you made concerning the lengths of the sides of triangles?* O…

A: In a given triangle ABC : The Sum of the two sides is always greater than the third side.

Q: A diagonal of a regular polygon is a line segment that connects two non-adjacent vertices. How many…

A: Different types of polygons are triangle ,square , pentagon , hexagon etc. Triangle and square are…

Q: ny regular polygon, the center can be determined by the intersection of any two angle-bisectors of…

A: Given: For any regular polygon, the center can be determined by the intersection of any two…

Q: The lengths of the sides of four triangles are given below. Using the Pythagorean Theorem, which set…

Q: ssume ZA is opposite side a, ZB is opposite side b, and ZOC is opposite side c.

A: Explanation and solutions is given below....

Q: Not a polygon O pentagon hexagon heptagon

A: Not a polygon.

Question

Which conclusion can be made using both statements?

10. Consider these statements.
Every trapezoid is a quadrilateral.
• Polygon W is not a quadrilateral.
Which conclusion can be made using both statements?
Polygon W is not a parallelogram.
O Polygon W is a pentagon.
Polygon W is not a trapezoid.
O Polygon W is a triangle.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Given that NP bisects MNQ, state a conclusion involving mMNP and mPNQ.
In O,OY=5 and XZ=6. If XWWY, find WZ.
a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.
The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding P?
a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?
In Exercises 25 and 26, supply the missing statements and reasons. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a PROOF Statements Reasons 1. Quadrilateral PQST with midpoints A, B, C, and D of the sides 1. ? 2. Draw TQ 2. Through two points, there is one line 3. ABTQinTPQ 3. The line joining the midpoints of two sides of a triangle is to the third side 4. DCTQinTSQ 4. ? 5. ABDC 5. ? 6. Draw PS 6. ? 7. ADPSinTSP 7. ? 8. BCPSinPSQ 8. ? 9. ADBC 9. ? 10. ? 10. If both pairs of opposite sides of a quadrilateral are , the quadrilateral is a
2. Consider XYZ triangles not shown a Which side is included by X and Y? b Which angle is included by sides XY and YZ?
a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of corresponding parts that are congruent. b. Suppose you wish to prove that RWTSWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent.
Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU is an isosceles triangle Proof Statements Reasons 1. RUV;RV 1. 2. UVUR 2. 3. 3. Given 4. RSUVTU 4. 5. 5. CPCTC 6 6. If 2 sides of a are , this triangle is an isosceles triangle.