If ΔCAT≅ΔDOG, which statement must be true?

A. m∠A=m∠O**
B. m∠C=m∠G
C. CA = OG
D. ¯¯¯¯¯¯CT≅¯¯¯¯¯¯DO

1. A

2. B
3. B
4. PART A - AB=QP, BC=QR, CD=RS, DE=SR. PART B - A=P, B=Q, C=R, D=S, R=T. PART C - Flip 180 degrees, then slide up
5. A
6. C
7. 1, 3, 2, 2, 1 (1=Translate, 2= Reflect, 3= Rotate)
8. C
9. B
10. PART A - Affected by 6 Units. PART B - Translated by 3 units. PART C - Use the pre-image coordinates to affect the new figure to find the new coordinates

My answer is A.

is UwUs response correct can someone check? i cant tell by the dislike and likes

Assuming you are following the proper convention of listing vertices in corresponding order,

yes, you are correct

the multiple questions answer are right apart from 8 8 is really A

To determine which statement must be true when ΔCAT≅ΔDOG, we need to understand the concept of congruent triangles.

Two triangles are congruent if their corresponding sides and angles are equal. This means that if the triangles ΔCAT and ΔDOG are congruent, their corresponding parts will be equal.

Looking at the given options:

A. m∠A=m∠O
This option compares the angles A and O. However, to determine if this statement is true based on the congruence of the triangles, we need to know if angle A and angle O are corresponding angles. The given information does not tell us which angle of one triangle corresponds to the other triangle's angle. Therefore, we cannot conclude that m∠A=m∠O is true based solely on the given information.

B. m∠C=m∠G
This option compares the angles C and G. Similar to the previous option, we cannot determine if these angles are corresponding angles based on the given information. Thus, we cannot conclude that m∠C=m∠G is true based solely on the given information.

C. CA = OG
This option compares the side CA of the triangle CAT with the side OG of the triangle DOG. When we talk about congruent triangles, corresponding sides are equal. Therefore, if ΔCAT≅ΔDOG, it must be true that CA = OG.

D. ¯¯¯¯¯¯CT≅¯¯¯¯¯¯DO
This option compares the side CT of the triangle CAT with the side DO of the triangle DOG. Similarly, corresponding sides of congruent triangles are equal. So, if ΔCAT≅ΔDOG, it must be true that ¯¯¯¯¯¯CT≅¯¯¯¯¯¯DO.

Based on the properties of congruent triangles, options C and D can be concluded to be true. So, the correct answer is:

C. CA = OG
D. ¯¯¯¯¯¯CT≅¯¯¯¯¯¯DO