Complete the following statements:a) Ina6) fany triangle has sides h and c, with a >b> c, then the triangle istriangle, theon the hypotenuse is equal to the ... two sides.angled if a> bà+ c?angled if a? < +angled if a bà+a.106061H.15Determine, with reasons, the values of b, f, g, k and r.Prove that APOR, with sides 13 m, 84 m and 85 m is right-angled.131216SJ3Ka) ABCD is a rhombus with AD = 13 units. AC and BD intersect at E.If DE= 12 units, calculate, with reasons, v, w and x.b) FGHI is a square with diagonal FG = 16 units. Determine, with reasons, the value of y.) JKLM is a rectangle with ML = 5V3. If JM = z and diagonal JL = 2JM, determine, with reasons,the value of z.d) Determine the perimeters and areas of ABCD, IFGH and JKLM.Give all answers in simplified surd form.a) Calculate the values of x, y and z.b) Classify AABC.) Calculate the area of ADBECF, showing allnecessary working.2412168/17DTotal:5

Answered: Image /qna-images/answer/00344172-1d90-4f05-8e12-2c6e58db515e.jpg

Complete the following statements ) In atrlangle, the b) Hany triangle has sides b and c, with a> b>c, then the triangle is a.. on the hypotenuse is equal to the. two sides. angled if a angled if a angled if

Complete the following statements ) In atrlangle, the b) Hany triangle has sides b and c, with a> b>c, then the triangle is a.. on the hypotenuse is equal to the. two sides. angled if a angled if a angled if

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter2: Parallel Lines

Section2.3: Proving Lines Parallel

Problem 18E: In Exercises 17 and 18, complete each proof by filling in the missing statements and reasons. Given:...

See similar textbooks

Related questions

Q: What theorem can be used to prove these triangles are congruent? A C ASA SAA neither

A: Given there are 2 triangles In the Given Triangles, Two angles and side between them are congruent.…

Q: 2. Use the image to answer the questions. a. Are the two triangles congruent? If so, complete the…

A: The solution is given below. .

Q: 19. IF THESE TRIANGLES ARE CONGRUENT, WHAT THEOREM PROVES THIS? SAS O SS OASA AAS OME O

Q: Given:FI=HG Statement Reason FG=HI Prove: ΔFΙΗ = ΔHGF

Q: Every lateral face in a prism is a triangle. O True O False

A: A prism is a 3-D shape with flat sides, it has 2 ends which are of same size and shape.

Q: What theorem can be used to prove these triangles are congruent? %23 B. ASA SAA neither

A: In given Triangles, Angle and two sides are same. ASS(Angle-Side-Side) theorem doesn't exist because…

Q: 2) Are the two triangles congruent? If yes, by what triangle congruence postulate? A C ASA AAS SAS O…

A: We have to find congruent triangles for the given figure: We can see from the figure that…

Q: Which postulate can be used to that the following triangles are congruent. A ASA

A: We know SAS means side angle side. And ASA means Angle side angle.

Q: Which postulate can be used to that the following triangles are congruent. E A ASA

A: 7. Two triangles △ABC and △DEF are given in the figure. From the figure, ∠B≅∠E AngleBC≅EF…

Q: Which postulate can be used to that the following triangles are congruent.

Q: Which statement applies to these triangles: -these triangles must be congruent -these triangles…

Q: State the postulate that proves the two triangles are congruent? O A. Angle-Angle-Side O B.…

A: AAS Postulate if two angles and a non-included side of one triangle are congruent to two angles and…

Q: With the information given in the drawings, which pair of triangles can be proven congruent by the…

Q: Based on the information given in the diagram, can you prove ABCD is a parallelogram C A O Yes, one…

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. ASA D. SAS

Q: For the given picture, EF is congruent to BC and AB is congruent to ED. Which postulate can be used…

A: # we are entitled to solve one question at a time. Please resubmit the other question if you wish to…

Q: For AABC and ADEF , the following is given: ZA=ZD, ZB=ZE, and BC= EF.By which triangle congruence…

A: To find: The congruence rule that is used to prove that the triangle is congruent. Given: In…

Q: Which postulate proves these two triangles are congruent? A. ASA B. SAS C. None, not congruent D. HL

A: We can solve the problem by the property of congruence.

Q: Choose the appropriate postulate if the following pair of triangles are congruent. A ASA B SSS CSAS…

Q: III. Using the given postulate, tell which parts of the pair of triangles should be shown congruent.…

A: Giventriangles with postulates To determinewhich triangles are congruent.

Q: show ZBDE E ZCTO using Corresponding Parts of Congruent Triangles are Congruent, which of the…

A: To prove <BDE ≅<CTO Corresponding parts of congruent triangles are congruent only when the…

Q: Which postulate proves the two triangles are congruent? A. SAS B. HL C. SSA D. ASA

Q: In the given figure, quadrilateral ABCD is a rectangle, and quadrilateral ACED is a parallelogram. E…

A: As per the SAS test, the two triangles are congruent if any two corresponding sides and the angle…

Q: In the accompanying diagram of triangles BAT and FLU, ZB LF and BA FL. Which statement is needed to…

Q: Which postulate proves the two triangles are congruent? A. HL B. SAS C. ASA D. none

A: Both the traingles have AD as common side.

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. ASA D. None, not congruent

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. None, not congruent D. SAS

A: Given: Diagram is given

Q: Which statement is not used to prove that ALKM is similar to ANOM? K O Angle K is congruent to…

A: Given figure is

Q: A kite is a quadrilateral with two pairs of adjacent congruent sides. O True O False

Q: Which postulate proves the two triangles are congruent? A. HL B. AAS C. SAS D. none

Q: What theorem can be used to prove these triangles are congruent? A C. ASA SAA neither

A: topic - congruent triangles SAA(side-angle-angle)Congruence Theorem: If two angles and a…

Q: Are these triangles similar? If so by which postulate? 36 40 N M. 24 U 70 63 W 42

Q: Which postulate can be used to prove the triangles shown are congruent? 4 4 O AAS Postulate O AAA…

A: In this question we have to check for which postulate two triangle are congruent.

Q: 1. Which of the following statements about the congruent triangles below is true? E 丰丰 A C D F O AC…

Q: 2. Based on the triangles shown below, which statements are true? Select All that apply. AGRE ATAE…

A: topic - triangles

Q: Based on the diagram and congruent marks, what would be a correct congruence statement and the most…

A: Find ∆BAT and ∆MAN are congruent by one of following rule .

Q: Are the two triangles below congruent? Decided yes/no and the reason why. Yes (AAS) Yes (ASA) Yes…

Q: Which criteria can be used to prove triangles are congruent? Select all that apply. O A. ASA B. AAS…

A: Given, The criteria' s for proving the triangles are congruent We have to choose the correct…

Q: Which postulate proves the two triangles are congruent? 丰丰 %23 %23 A. SAS B. ASA C. SSS D. HL

A: The given triangle are:

Q: SAS SAA HL ASA SS SSA ADA4 Hint

Q: Given: QR = HI and RS = IJ. ZQ = ZH %3D If the triangles are congruent, fill in the statements. If…

A: Given Two triangles, triangle RQS & triangle IHJ are given. TO Find To check the congruency in…

Q: Select all of the statements that must be true to prove that triangle ABC is congruent to triangle…

A: we have to select all the statement that must be true to prove the given triangles are congruent by…

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. SAS D. None, not congruent

Q: Which of the following statements is needed in order to prove these triangles are congruent using…

A: we need SSS = side - side -side Theorem to prove congruency

Q: If AABC is an isosceles triangle, which statement explains whether there is enough information to…

Q: M 30 S.

A: Given two triangles with angles are shown

Q: 1. Which of the following statements about the congruent triangles below is true? E 丰 C D A 丰 F O AC…

Q: Given: AC=FD AB FE BC=ED Prove:AABC=AFED Statement Reason

A: Solution:- yes you are correct, if all three sides are equal then triangle is congruent by SSS…

Q: What theorem can be used to prove these triangles are congruent? 6. 9. A. SAS B. HL C. neither 5

A: In the SAS rule two triangle are congruent if they are same in two side and one angle. But in given…

Q: Which postulate proves the two triangles are congruent? A. HL B. SSA C. ASA D. none

A: For the given triangle

Question

Complete the following statements:
a) Ina
6) fany triangle has sides h and c, with a >b> c, then the triangle is
triangle, the
on the hypotenuse is equal to the ... two sides.
angled if a> bà+ c?
angled if a? < +
angled if a bà+
a.
10
60
61
H.
15
Determine, with reasons, the values of b, f, g, k and r.
Prove that APOR, with sides 13 m, 84 m and 85 m is right-angled.
13
12
16
SJ3
K
a) ABCD is a rhombus with AD = 13 units. AC and BD intersect at E.
If DE= 12 units, calculate, with reasons, v, w and x.
b) FGHI is a square with diagonal FG = 16 units. Determine, with reasons, the value of y.
) JKLM is a rectangle with ML = 5V3. If JM = z and diagonal JL = 2JM, determine, with reasons,
the value of z.
d) Determine the perimeters and areas of ABCD, IFGH and JKLM.
Give all answers in simplified surd form.
a) Calculate the values of x, y and z.
b) Classify AABC.
) Calculate the area of ADBECF, showing all
necessary working.
24
12
16
8/
17
D
Total:5

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Given that NP bisects MNQ, state a conclusion involving mMNP and mPNQ.
In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the reason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. ABCAED
In Exercise 17 and 18 , complete each proof by filling in the missing statements and reasons. Given: 1 and 2 are complementary 3 and 1 are complementary Prove: BCDE
In Exercises 13 to 16, write the first statement of the indirect proof of the given statement. If two angles of a triangle are congruent, then two sides of that triangle are congruent.
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides e, f, and g.
In Exercises 1 to 6, which property justifies the conclusion of the statement? If 2x=12, then x=6.
In Exercises 17 and 18, complete each proof by filling in the missing statements and reasons. Given: lm34 Prove: ln PROOF Statements Reasons 1. lm 1.? 2.12 2.? 3.23 3. If two lines intersect, the vertical s formed are 4. ? 4. Given 5. 14 5. Transitive Property of 6. ? 6.?
In Exercises 7 10, state the property or definition that justifies the conclusion the then clause. Given that mRST=mTSV, then ST bisects RSV.
The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding P?
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides d, m, and p.
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides h, k, and l.
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides r, x, and y.