Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to is . Thus:

≅

c. Since ≅ , therefore:

(substitution)

Add 1 to both sides

Divide both sides by 3

2. a. Slope of LK =

Slope of LM =

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

(nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: