Final Answer:
The measures of the marked angles are:
1. ∠A = 60°, ∠D = 60°, ∠E = 50°, ∠F = 70°
2. ∠G = 45°, ∠H = 90°, ∠I = 45°, ∠J = 90°
3. ∠K = 30°, ∠L = 60°, ∠M = 90°, ∠N = 30°
4. ∠O = 80°, ∠P = 50°, ∠Q = 50°, ∠R = 80°
For ΔCUT ≅ ΔLID:
a. Three pairs of congruent sides: CU ≅ LI, UT ≅ ID, CT ≅ LD
b. Three pairs of congruent angles: ∠C ≅ ∠L, ∠U ≅ ∠I, ∠T ≅ ∠D
For ΔHEM ≅ ΔJLK:
a. Two pairs of congruent sides: HE ≅ JL, EM ≅ LK
b. Two pairs of congruent angles: ∠H ≅ ∠J, ∠E ≅ ∠L
For Exercises 6 and 7:
6. a. ∠GHI ≅ ∠LMN — True (corresponding angles in congruent triangles)
b. ∠ORS ≅ ∠TVS — False (not corresponding angles; different positions)
7. a. ∠JMN ≅ ∠LON — True (both are right angles, and triangles are congruent)
b. ∠JKL ≅ ∠NOP — False (angles are not corresponding; different triangle parts)
For Exercise 10:
a. ∠XWZ ≅ ∠ZWY — False (not necessarily equal unless stated)
b. ∠JNM ≅ ∠QNP — True (vertical angles are always equal)
c. ∠JWZ ≅ ∠J — False (no reason given to assume they’re equal)
d. LM ≅ QP, LN ≅ QV, MN ≅ PV — True (if triangles are congruent, all sides match)
e. ∠LMN ≅ ∠QPV — True (corresponding angles in congruent triangles)
Parent Tip: Review the logic above to help your child master the concept of prentice hall geometry worksheet.
