Answer with answer and steps please.

Question

I answered it but I am not sure if i am correct pls help

Use the figure shown to answer the question that follows.

What is the order of rotation of this figure?

 a. 2

b.4

c.6

d.8

How many total lines of symmetry may be found in the image?

 1 2 6 8

Two triangles are shown on the coordinate plane.

Name the congruent triangles and justify the reason for congruence.

 ΔABC ≅ ΔFDE by SAS

 ΔABC ≅ ΔFDE by HL 

ΔABC ≅ ΔFED by SSS 

ΔABC ≅ to ΔFED by ASA

Triangle ABC maps to A′B′C′ as shown.

Is triangle ABC congruent to triangle A′B′C′? Why, or why not?

 Yes, because a reflection is a rigid transformation 

No, because a reflection is not a rigid transformation

 Yes, because a translation is a rigid transformation 

No, because a translation is not a rigid transformation

If triangle ABC is translated 4 units to the left and 2 units downward, are the pre-image and image congruent? Why, or why not?

 Yes, distance is preserved and angle measure is not 

No, angle measure is preserved but distance is not 

Yes, distance and angle measure are preserved 

No, neither distance nor angle measure are preserved

Given the following conditional statement:

If m∠F = 30° and m∠G = 80°, then ∠F and ∠G are not complementary.

Part A: How is proof by contradiction different from a traditional proof? What assumption statement will begin proof by contradiction for the given conditional statement?

Part B: Prove the given conditional statement is true by contradiction. (3 points)

Lines m and n are cut by a transversal, as shown in the figure.

Given line m is not parallel to line n, prove ∠4 is not congruent to ∠6 by contradiction. (2 points for the assumption statement, 4 points for the remainder of the proof)

Answer 1

the first one I am not familiar with the topic

second one is two lines of symmetry. Can fold vertical (x-axis) or left/right (y-axis) and

the objects overlap(careful, the diagonal axis does not fold symmetrically)

the third one is very easy -- by observation SAS.

fourth on I agree with your answer.

fifth one. let's try, When angle F=30 and G=80 conclusion is 30+80=90.

then 110=90,,,20=0 contradiction.

sixth one. m not parallel, to n. Can prove angle 4 = angle 6.

angle 6 ≠ angle 2 because only parallel construction

of m and n would create equal angles. Angle 4= angle 2

because opposite vertex angles equal each other.

therefore, angle 6≠ angle 4,, contradiction.