From proposition I.6 Prove that in a triangle in which two angles are equal, the sides opposite the to these angles must be congruent Assume that you are working in Hilbert plane. Proposition I6: if the base angles are equal the triangle is isosceles.

Q: Prove Theorem 2-8: If two angles are complements of congruent angles, then the two angles are…

A: Let <A and <B are complements of congruent angles <C and <D. Then we get, <C = <D…

Q: If M is the midpoint of AB in triangle ABΩ, prove that ∠A ≅ ∠B if and only if ∠AMΩ is a right angle.

A:

Q: In the diagram below of ADAE and ABCE, AB and CD intersect at E, such that AE = CE and ZBCE = ZDAE.…

A: We have, In  triangles △DAE and △BCE AE=CE∠DAE=∠BCE

Q: Wouldn't that be 9x-7? Why is it +7?

A: No. The explanation is given below

Q: (5) If possible, give an example af each af foll o ing la) Sets A,B and c Snch that As B, B$ C A CC.

A: Here we have to solve 5(a) and 5(b) We have to give an example about the given condition.

Q: if f) =* -4 and gD=X-2find fege simplty ansuea

A:

Q: B. Prove the following by contradiction: 1. If 3x + 2 is odd, then x is odd. 2. If there are two…

A: Solve

Q: Let 7=<W,and =<u, u;)€R a - Vgl, =0 then Show that if v,Uz a and o are paralled. bJ Write the…

A:

Q: Prove that the Ving of ComPelX numbers C¢,+.)is fielol

A: Solution is given as below:

Q: QSA. () and B 23 J 32 and eCA)-CB) then C, a a+6/b.eも2

A:

Q: 1. What are the parts of HL theorem? 1. It appears from the name of the HL Theorem that you actually…

A: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the…

Q: Rewrite the statements in if-then form. Having two 45° angles is a sufficient condition for this…

A: It is given that Having two 45° angles is a sufficient condition for this triangle to be a right…

Q: thout using a protractor, you can determirje whether the angles are right angles by measuring the…

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

Q: 2. A student is given a triangle with the angles labeled as x, y, and z. The student cuts out each…

A: Let's check one by one option clearly

Q: Point Q is the midpoint of ST. Which of the following is true about ST? ST = 2| QS - QT | O ST = QS…

A: Topic = Geometry Ture statement is  ST = QS + QT

Q: Prove angle 1 is congruent to angle 2,

A: Here, Given Triangle CAT, points D,O,G are midpoints of the three sides of the triangle.we have to…

Q: Write a proof for this form of Theorem 2-2. If two angles are supplements of congruent angles, then…

A: We have to prove the theorem

Q: angles, then the angles must be congruent. ( Use a two-column proof ) Given: ∠S and ∠T are each…

A: Use the property that two angles are congruent if they have the same measure.

Q: Which postulate or theorem should be used to prove AHIG AJKI? G O ASA O SAS O SSS O AAS

A:

Q: Prove both sides equal πο(ρον) = (πορ)ον

A: We go to Next step