Question

Answer n how to solve

Answer 1

Answer:

Both are congruent

Step-by-step explanation:

7. SSS congruence

KN=KM ........Side

KI=MI ........Side

LN is a common side

Thus by SSS congruence both triangles are congruent

8. ASA congruence

angles PRO=TRS ..........vertically opposite angles are equal

angles POR=RTS ..........given to be equal in the question

angle OPR=180-PRO-POR ...angle sum property of triangle

angle RST=180-RTS-TRS ......angle sum property of triangle

so OPR=RST as PRO=TRS and POR=RTS

line PO=TS .......given in question

so

OPR=RTS ...........angle

line PO=TS .........side

POR=RTS ...........angle

Thus by ASA congruence both triangles are congruent

Answer 2

Answer:

The interior of the triangle are congruent as they are equal in size at point at point l, k, m proof is the line of symmetry shows a 4 way rotation.

We know from how the line represents 2 triangles that equally make an equal sided square should we draw lines

For the g, h, i, j to show a 4 way rotation- should we draw 2 more triangles.

The second shape has congruent angles as the rotation is 2 and angles shown indicate the symmetrical value as midway point are the same also. So while all 3 sets of the second angles are congruent if we make a square shape 8/8 angles have the same degree as one another as there will be 4 triangles in shape 1 and shape 2.

Whilst the rotation is less, this is simply as the base is on the outside and sides are the same- creating a wider perimeter as it enlarges the shape. this may confuse but to prove again we can compare a rotation to equal curve triangles folded within a regular circle shape or just like the first example create 4 triangles and draw 2 lines of symmetry. just like folding a regular square. For full flip rotation within a shape we have found side length is not equal but angles must be 3 of the same for 2 way rotation within a larger shape and 3 equal angles with longer length for rotation within its first found square shape.

Step-by-step explanation: