Question

Problem 11) What type of transformation has been perfomed on the triangle below?



(1 point)
Responses

Translation
Translation

Rotation
Rotation

Dilation
Dilation

Reflection
Reflection
Question 12
Problem 12) What theorem could be used to prove that the triangles are congruent?



(1 point)
Responses

ASA
ASA

SAS
SAS

SSS
SSS

AAS
AAS
Question 13
Problem 13) What additional information would we need to use the SAS theorem?



(1 point)
Responses

∠F ≅ ∠I
∠F ≅ ∠I

∠G ≅ ∠J
∠G ≅ ∠J

GE ≅ HJ
GE ≅ HJ

∠H ≅ ∠G
∠H ≅ ∠G
Question 14
Problem 14) What theorem could be used to prove triangle congruence in this situation?



(1 point)
Responses

SSS
SSS

SAS
SAS

ASA
ASA

AAS
AAS
Question 15
Problem 15) Select the line that is parallel to y = -3x + 5.(1 point)
Responses

y = 2x + 3
y = 2x + 3

y = 3x - 5
y = 3x - 5

y = -3x + 9
y = -3x + 9

y = 4x - 6
y = 4x - 6
Question 16
Problem 16) Which type of angles always sum to 180 degrees?(1 point)
Responses

Alternate Interior Angles
Alternate Interior Angles

Corresponding Angles
Corresponding Angles

Alternate Exterior Angles
Alternate Exterior Angles

Consecutive Interior Angles (also called Same-Side Interior Angles)
Consecutive Interior Angles (also called Same-Side Interior Angles)
Question 17
Problem 17) Two congruent triangles are sketched below. What theorem could we use to prove that ∠B ≅ ∠E in the triangles?



(1 point)
Responses

Vertical Angles Theorem
Vertical Angles Theorem

CPCTC
CPCTC

Pythagorean Theorem
Pythagorean Theorem

Herron's Formula
Herron's Formula
Question 18
Problem 18) Use the distance formula to find the distance between the two points.



(1 point)
Responses

Distance = 10
Distance = 10

Distance = 5
Distance = 5

Distance = 30
Distance = 30

Distance = 1
Distance = 1
Question 19
Problem 19) What is the perimeter of the rectangle?



(1 point)
Responses

Perimeter = 20
Perimeter = 20

Perimeter = 5
Perimeter = 5

Perimeter = 7
Perimeter = 7

Perimeter = 3
Perimeter = 3
Question 20
Problem 20) Find the area of the right triangle below.



(1 point)
Responses

Area = 5
Area = 5

Area = 30
Area = 30

Area = 10
Area = 10

Area = 6

Answer 1

I can’t answer most of these without the diagrams or coordinates — the congruence/transformations questions (11–14) and the specific distance/perimeter/area problems (18–20) all rely on images or point values you didn’t include. Please upload the images or tell me the coordinates/side lengths/labels shown and I’ll pick the correct choices and show work.

I can, however, answer the ones that don’t need a diagram:

- Question 15: y = -3x + 9 (parallel lines have the same slope; slope = -3)
- Question 16: Consecutive Interior Angles (Same-Side Interior Angles) — these always sum to 180°
- Question 17: CPCTC (Corresponding Parts of Congruent Triangles are Congruent) — if the triangles are given as congruent, corresponding angles like ∠B and ∠E are congruent by CPCTC

Helpful reminders so you can paste the missing info:
- To identify a transformation, give the original and image vertex coordinates or describe how the triangle moved (translated by <x,y>, rotated about a point by θ°, reflected over which line, or scaled with center and scale factor).
- To choose a congruence theorem, list which sides and angles are shown congruent.
- Distance formula: d = sqrt((x2 − x1)^2 + (y2 − y1)^2)
- Rectangle perimeter: P = 2(length + width)
- Right triangle area: A = (1/2) * (leg1) * (leg2) if the two legs are the base and height

Send the images or the missing numeric details and I’ll finish the rest.