Use the given information to prove that ADEF AHGF. Given: DF A HF Z DEF HGF Prove: ADEF & AHGF D. Statement Reason DF E Given 2. Z DEF LHGF Reason ? 3. ZDFE Vertical Angles Property 4 ADEF AHGF Reason ?

Q: 2. Given: DF HF ZDEF LHGF Prove: ADEF AHGF Statement uosea Given 1. DEF LHGF 2 uosea Vertical Angles…

A: Use the given information to prove that ∆DEF ≅ ∆HGF

Q: Complete the proof that M2RTU + m 2XWY = 180°. Statement Reason 1. VXI SU 2. LXWY ZUTW 3. m LRTU +…

A: To Complete the proof that m∠RTU + m ∠XWY = 180° Also ɡiven     statement reason VX||SU…

Q: Complete the two-column proof to show that same-side exterior angles are supplementary. 5. Given: p…

A: Congruent Angles Theorem.

Q: Let ABC be a r19ht ナと(ang)e w(1ら hY potehuse AL. ASS Ume BF LAC. LeT BD 6e すhc angie bisector of…

A: Given:- In △ABC  AC is hypotenuse.

Q: Decide whether enough information is given to prove that the triangles are congruent. If there is…

A:

Q: In the diagram, QS || UT, RS = 15, ST = 9, and RQ 20. What is the length of QU? %3D

A: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct…

Q: Based on the diagram shown, which of the following statements is true? F 17 15 38 14 26 O AC is…

A:

Q: . Given: ZABC is supplementary to ZCBD BÉ bisects ZABC BÉ bisects ZCBD Prove: ZEBF is a right angle…

A:

Q: Choose all descriptions that apply for the following angles. Supplementary Complemenaary Adjacent…

A: Solution :-

Q: Given: BD is the angle bisector of ZABC and ZADC. | Prove: ΔΑBDΔCBD A B Statements D Reasons 1) ? 1)…

A:

Q: 2. Given m<MON = 38° and m<LON = 85°, find the measure of <LOM. N D. Given that f || f2, find the…

A: We will solve the problem

Q: Given:WU =GI Statement Reason UV 쓸 IH ZU =ZI Prove:AWUV=AGIH V U H.

A:

Q: O D 6. If ADEF has the perpendicular bisectors DG, EH, and FI and circumcenter J, which statements…

A:

Q: Given the figure below, l1 || 12. Also m/g=4z +6 and m/h = 6z-36. Which of the statements below are…

A: We will use the concept of linear pair to solve

Q: Which statement describes the construction being illu on the rectangle shown? E A G O A line segment…

A:

Q: %23 9 U V

A:

Q: Given, A DEF is an isoceles triangle with LD Ver ted angle. as the ,. DE DF E F DE = 4x-7 EF 3x +2…

A: Given that DE=DF So, 4x-7=6x-1515-7=6x-4x8=2xx=82x=4

Q: Use the given Information to prove that ARST ARUT. Given: ZRTSİis a right angle ZRTUİS a right angle…

A: Given : ∠RTS is a right angle∠RTU is a right angle∠SRT≅∠URT

Q: A ldentifcation. Tel whether the folowing sbligve triangle is Case , Case 2, Cae 3, Case4or Case…

A: The question is not clear

Q: Which of the following statements are true? Select all that apply. 1/2 3/4 9, 7, 8 O A. 23 22…

A: Given: To select: The correct options from the given option.

Q: Complete the following proof by arranging the statements in the correct order. Given: R is the…

A:

Q: In parallelogram FRED shown below, ED is extended to A, and AF is drawn such that AF DF. If mLR =…

A: Solution: The objective is to find m∠AFD

Q: Which angles are supplementary to each other? Select all that apply. 3. 22 and 24 23 and 2 26 and Z3…

A: Given:

Q: Complete the proof that mzQVW + MZTSX = 180°. W V R. K Statement Reason UW I IK Given Given RT IK…

A: same side interior angle theorem states: If a transversal intersects two parallel lines, each pair…

Q: Given: RE = 2AR and RT = 2GR E Prove: AGAR-ATER T. Statement Reason 1. Given 2. 2. Vertical Angles

A: As we know, If two triangles have two pairs of sides in the same ratio and the included angles are…

Q: 9. For what values of x and y are the two right triangles congruent b SAS Postulate using the…

A: Given: the triangle is given in the figure in which is both triangles are right triangle and SAS…

Q: m In the diagram, line / is parallel to line m. How would you prove A QUA A ADQ? 'A .... ....…

A:

Q: Given: DB || EC and ZD & ZE are right angles. Prove: A ADB ~ A BEC E 12 4. A

A: In the question it is asked to prove ∆ADB~∆BEC, Given values, DB∥EC ∠D=∠E=90°.

Q: Which two triangles are congrue R. D P. Y a. AFED =AXYZ b AFED =APRQ C. AFDE =AXYZ d. AFDE = ARQP

A:

Q: Given: ZFED and ZDEW are F complementary. Prove: ZFEW is a right angle. E W ZFED and ZDEW are…

A: To prove that angle FEW is a right angle and to fill in the missing parts

Q: 19 Match the following statement given in the first column to their approprlate reason by…

A:

Q: 3) Which angle pairs are congruent? Select all that apply. 8. 4 C. 3 A. F 1 10 11 ZALF and ZKLI ZBKH…

A: Given that, Here CD and AB are Parallel to Each Other. We checked each pair one by one.

Q: 2. Given: ABCD is a parallelogram, DE I AF, and CF 1 AF Prove: DE = CF D C Statement Reason A E

A:

Q: In parallelogram PQRS, OP is extended to point T and ST is drawn. R T If ST = SP and mz R = 130°,…

A: In a parallelogram opposite angles are equal. Also the sum of angles in a triangle add to 180°. When…

Q: The figure below shows the angles formed by intersecting lines /and m. 2. Based on the figure, which…

A:

Q: Two students were asked to prove whether or not AABC- A DFE. 75° 8. 55° A B D 55° 50 16 12 AC…

A:

Q: Given: AB CL ABCD m/HMJ= 103° M2NGE= 130° G. M N. Select the correct statement and reason. O LCGH =…

A: We are given:

Q: Given the image below prove that AABC-ACBD and AABC~AACD . Reasons Bank A. CPCTC B. All right angles…

A: The objective is to Find the correct reasons for the statements.

Q: 2. For each of ithe following, find the measure for the indicated angles. 'n aach case, justify your…

A:

Q: O Given: AKJM - AOPR with angles as shown x + y + z Find: 60° 40 x+10)° (0.3z-20) J x +y + z

A: Given  ΔKJM~ΔOPR   To find : x+y+z2

Q: It is given that 21 and 22 are supplementary. Z1 and 23 are also supplementary, so 22/3. Since are…

A:

Q: State what additional information is required in order to know that the triangles are congruent for…

A: for SSS property all corresponding sides should be equal. this property can be read as side side…

Q: Given the similar figures, name all pairs of corresponding sides and angles. Look at the similarity…

A: Given: Similar Triangles:                                Those triangles which are not equal in size…

Q: Select all statenents that are true about equilateral triangle ABC. 6. D. O Angles B and C are 60…

A: Given,  ∆ABC is equilateral triangle with AC = 6  and  AD = x We have to find the all the true…

Q: Which pair of triangles can be proven similar by the AA Postulate? E VA А В A F G C D 12 BA 12 15 16…

A: The AA postulate states that two triangles are similar if their two set of corresponding angles are…

Q: Given DL I LW and CK I LW , which of the following information would you need to prove ADLW ~ ACKW…

A: Option 1 correct.    I and II

Q: The table below is an incomplete proof to show that the measures of the interior angles of a…

A:

Q: Given: BD is the angle bisector of LABC and ZADC. Prove: AABD = ACBD Statements Reasons 1) _? 1) ?…

A:

Q: 24. Which statement demonstrates the corollary to the triangle exterior angle theorem? 80° y O m/x >…

A: The exterior angle theorem corollary states that: An exterior angle of a triangle is greater than…

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.