Question

fall color-by-number
name
laura fuermcayor
date
11/18/25
hour
6 - 2
directions
solve each problem, each correct answer corresponds to a specific color
color in each numbered sections of the mystery image with the color from that problem number
the completed picture reveals a fun fall scene!
answer
bank
scalene - orange
isosceles - tan
equilateral - black
obtuse - green
acute - red
right - brown
#1) what is the side classification of △pmn?
#2) what is the side classification of △lmn?
#3) what is the angle classification of △mpn?
#4) what is the angle classification of △kpn?
#5) what is the side classification of △klm?
#6) what is the side classification of △kmn?

Explanation:

Step1: Analyze $\triangle PMN$

Since \(PM = PN\) (marked with equal - length symbols), by the definition of an isosceles triangle (a triangle with at least two equal sides), \(\triangle PMN\) is isosceles.

Step2: Analyze $\triangle LMN$

Since \(LM = LN\) (marked with equal - length symbols), \(\triangle LMN\) is isosceles.

Step3: Analyze $\triangle MPN$

Since \(\angle PMN=93^{\circ}>90^{\circ}\), by the definition of an obtuse triangle (a triangle with one angle greater than \(90^{\circ}\)), \(\triangle MPN\) is obtuse.

Step4: Analyze $\triangle KPN$

Since \(\angle KNP = 90^{\circ}\), by the definition of a right triangle (a triangle with one right angle), \(\triangle KPN\) is right.

Step5: Analyze $\triangle KLM$

Since \(KL = ML\) (marked with equal - length symbols), \(\triangle KLM\) is isosceles.

Step6: Analyze $\triangle KMN$

Since \(KM = MN = KN\) (marked with equal - length symbols), by the definition of an equilateral triangle (a triangle with all three sides equal), \(\triangle KMN\) is equilateral.

Answer:

1. Isosceles - Tan
2. Isosceles - Tan
3. Obtuse - Green
4. Right - Brown
5. Isosceles - Tan
6. Equilateral - Black