Q: When writing a proof of the segment addition postulate where AB = 18, substitution can be used to…
A: This is a basic segment addition question
Q: Using the Segment-Addition Postulate, state a conclusion regarding the accompanying figure. . A B
A: Using the segment-Addition Postulate, state a conclusion regarding the accompanying figure. ______
Q: In the adjacent figure, ΑΒΓΔ is a trapezoid (AB II ΓΔ) and EZ is its median. The non-parallel sides…
A: Here we will use properties of Median of Trapezoid and Bisector of sides of Tringle
Q: In AUVW, UW is extended through point W to point X, (7x + 10)°, m/WUV = (2x + 20)°, and mZVWX =…
A:
Q: In AMNP, NO bisects ZMNP. If PN = 6, MN = 9, and MP = 10, find PQ and QM. M
A: Given: In △MNP, NQ→ bisects ∠MNP PN=6MN=9MP=10
Q: A 105 (4y +14) C (7y +1) (7x +1)
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Q: In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into…
A: we have a given rectangle PQRS Rectangle has following properties 1)opposite sides are parallel…
Q: Which statement is true if AMNP - AXYZ? A. Corresponding angles of A MNP and A XYZ are always…
A:
Q: Given: NPQRST is a regular hexagon. Prove: NPRS is a rectangle. (Begin by drawing a diagram.)
A: To prove: NPRS is a rectangle. Concept used: All the sides and all angles of Regular hexagon are…
Q: Quadrilateral PQRS is inscribed n a circle.If m∠PQR = 2x, m∠QPS = 2x−10, and m∠RSP = 2x+10, find the…
A: Given a quadrilateral PQRS inscribed in a circle i.e. quadrilateral PQRS is a cyclic quadrilateral…
Q: In triangles DEF and OPQ, D = 20, 2F 2Q, and DE 00. Is this information sufficient to prove…
A:
Q: NQ bisects ∠MNP, NP = MQ, QP = 4, MN = 14 Find: NP
A: We use angel bisector theorem to get the required solution.
Q: P R
A: Given that m∠NRQ=37 To find: m∠NPQ
Q: 15) Assuming that m me A in Q ABCD, which diagonal (AC orBD) would be longer ? sides of a que 4. ?…
A: We will use simple side angle relation theorem to find solution to the problem .
Q: A partial proof was constructed given that MNOP is a parallelogram. Which statement should fill in…
A:
Q: 2, Giyen that <M= LQ, MP =6, PR=4, and NQ= 11, Find PQ Answer:8 IN A ABC, mLC=90° and ACE BC. If AB…
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Q: Write the congruence statement- Triangle RQP is congruent to. ARQP =A D
A: Topic- triangle
Q: In AUVW, UW is extended through point W to point X, mZWUV = (3x – 4)°, mZVWX = (6x + 6)°, and mZUVW…
A: According to given problem we have construction below
Q: 1. If BCDE is congruent to OPQR, then DE is congruent to (2 points)
A: Each side is congruent to corresponding side.
Q: Show that, If M and N are nbds. of a point p, then M∩N is also a nbd. of p.
A:
Q: he figure shows the net of the three-dimensional package for a board game. The et is made of four…
A: Introduction: The most well-known and simplest formula, which almost everyone remembers from school,…
Q: Given that NP bisects ZMNQ, state a conclusion involving mZMNP and mZPNQ. N
A: According to given figure if NP→ bisects ∠MNQ then m∠MNP=m∠PNQ
Q: In AABC, M and N are midpoints of AC and BC, respectively. If AB = 12.36, how long is MN? M. N A B
A: Given: In △ABC, M and N are midpoints of AC¯ and BC¯ respectively. To find: Length of MN¯, if…
Q: 6. If the triangles can be proven congruent, select the correct postulate that can be used to prove…
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Q: Find the degree measures of ZKOJ and ZLOK given LKOJ = LLOM such that M2KOJ = 6x - 20, MLLOK = 3x…
A: Given that ∠KOJ ≅ ∠LOM such that m∠KOJ = 6x - 20, m∠LOK = 3x + 30, m∠JOM = 140. We have to find…
Q: In ANOP, NP is extended through point P to point Q, mZOPQ = (6x – 15)°, m/PNO = (2x + 18)°, and…
A: We have to find x
Q: Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB. Given the…
A: Observing from given figure we have
Q: R Hector began a proof using the following argument. 1. PQ = RS and PQ || RS (Given) 2.…
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Q: In AOPQ, OQ is extended through point Q to point R, MZPQR= (4x – 10)°, m2OPQ = (x +9)°, and m/QOP =…
A:
Q: 6. Find the exact lengths of the missing sides. A qem bluow mds enoi a.) b.) 16 45° 16 30
A: It can be solve using trigonometry ratio
Q: Given: E is the midpoint of AC. Conclusion: ? 8, Conclusion: Reason: 80
A: if the diagonal of a quadrilateral are intersect at the midpoint the. Such type of quadrilateral are…
Q: What additional piece of information would you need to use the Side-Angle-Side Triangle Congruence…
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Q: Given: BD bisects ZABC and AB = BC. Prove: BD bisects ZADC. Note: quadrilateral properties are not…
A: The solution of the problem is given in the next step.
Q: In triangles DEF and OPQ, 2D = 20, ZF = zQ, and DF 0Q Is this information sufficient to prove…
A: We know that in ∆DEF and ∆OPQ ∠D≅∠O∠F≅∠QDF≅OQ So, by SAS rule both triangles are congruence Because…
Q: Use the figure below and the given information to delermine itlmes mara Nparalel Fogare not drawn to…
A: We know that if 2 corresponding angles are equal then corresponding lines are also equal i.e. to…
Q: Which statement is true? OA. All parallelograms are rectangles. OB. All rectangles are squares. OC.…
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Q: In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into…
A:
Q: A student drewa circle and two secant segments. He concluded that If PQ PS, then QR ST.Do you agree…
A: Given PQ = PS ----(1) Since, PR•PQ = PT•PS ----(2) By similarity of triangles Hence, PR = PT…
Q: In ANOP, NP is extended through point P to point Q, mZNOP= (3x + 8)°, MZPNO = (2x + 9)°, and mZOPQ =…
A: To find the value of x
Q: Given: AB N CD, AC BD, AB I CD Conclusion: ABCD is a rectangle. The conclusion is (select) v
A: We are given the following picture. And:
Q: The perimeter of AABC (not shown) is 47. If AB = ВС х, АС 3D х + 1, and = x 5, find x, AB, AC, and…
A: We have to find: x, AB, AC, and BC Where perimeter of the triangle is 47 for AB=x, AC=x+1 and…
Q: Given: BD bisects ZABC and BD bisects ZADC. Prove: AD CD. Note: quadrilateral properties are not…
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Q: In AUVW, UW is extended through point W to point X, MZVWX = (7x + 10)°, mZWUV MZUVW = (2x + 17)°.…
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Q: - Make Sense and Persevere Suppose M is a point in the interior of JKL. If mzMKL = 42 and mzJKL =…
A: Here, M is a point interior of ∠JKL. So, m∠JKL=m∠JKM+m∠MKL...(1)
Q: Can you conclude that the figures are congruent? Write a Justification. A
A: Given: AE=DE AB=DC Angle ABE= Angle DCE
Q: In the diagram of ANRQ below, SP||RQ, SR=63, NP=4, and PQ=21. What is the length of NR? N 4 S 63 21…
A: →When two triangles are similar then ratio of their corresponding sides are equal. Concept of…
Q: Given: Prove: AE bisects BD, BD bisects AE A ABC A ED
A:
Q: Using the Segment-Addition Postulate, state a conclusion regarding the accompanying figure. A P B
A: Concept: According to Segment-Addition Postulate, if two points A, B are given on a line segment,…
Q: Suppose figure KIL is similar to figure JOY. Is KI = JO, IL = OY, and KL = JY a true or false…
A: Suppose figure KIL is similar to figure JOY. Is KI = JO, IL = OY, and KL = JY a true or false…
Q: M N. Mandy has the two triangular pieces of cloth pictured above. If A LMN A PRQ, which statement…
A: Give that triangles are similar. We can use SSS property to prove similar triangles.
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- a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.In ABC, M and N are midpoints of AC and BC, respectively. If MN=7.65, how long is AB?In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x.
- a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?In Exercises 11 to 22, use the Given information to draw a conclusion based on the stated property or definition. Given: 3(2x1)=27; Distributive PropertyIn ABC, M and N are midpoints of AC and BC, respectively. If AB=12.36, how long is MN?
- In Exercises 25 to 32, name the type of reasoning if any used. While judging a science fair project, Mr. Cange finds that each of the first 5 projects is outstanding and concludes that all 10 will be outstanding.The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding P?Prove the Extended Segment Addition Property by using the Drawing, the Given and the Prove that follow. Given: MNPQ on MQ Prove: MN+NP+PQ=MQ