Q: What- If you are given or can prove that two triangles are congruent, then you may use CPCTC to prove that the angles or sides are?

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Given that ΔHKM~ΔRST, name the corresponding congruent angles and write three proportions.

one way is to use the corresponding parts. if they are congruent then the two triangles are congruent. i don't know any other ways without seeing the triangles or any given info. sorry i couldn't help more.

As many as you like but they will all be scalene triangles formed by the given angles that add up to 180 degrees

Show that corresponding angles are congruent?

Total interior angles ((2 x 7) - 4) right angles ie 900 degrees. Given angles total 570 degrees so each of the other angles is (900 - 570)/2 ie 165 degrees.

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Because ALL triangles total 180o...

(1) vertical angles, (2) congruent triangles

Yes, a parallelogram or a rhombus would fit the given description.

Given two sets of angles and the included side congruent, we seek a sequence of rigid motions that will map Δ_____onto Δ___ proving the triangles congruent.

Corresponding

It is a rhombus that fits the given description.

If two angles and the side opposite one of them in one triangle are equal to one side and two similarly located angles in a second triangle then the two triangles are congruent. (The triangles are exactly the same shape and size as each other).

Hl & ha

A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel Let ABCD be a quadrilateral in which ABCD and AB=CD, where means parallel to. Construct line AC and create triangles ABC and ADC. Now, in triangles ABC and ADC, AB=CD (given) AC = AC (common side) Angle BAC=Angle ACD (corresponding parts of corresponding triangles or CPCTC) Triangle ABC is congruent to triangle CDA by Side Angle Side Angle BCA =Angle DAC by CPCTC And since these are alternate angles, ADBC. Thus in the quadrilateral ABCD, ABCD and ADBC. We conclude ABCD is a parallelogram. var content_characters_counter = '1032';

It doesn't imply they are congruent. However it doesn't mean they are not either. Not enough information has been given to establish their congruence.

The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.

Given that ΔHKM~ΔRST, name the corresponding congruent angles and write three proportions.