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GeometryChapter4TestReview Name 1. Writeinthevaluesofanymissingangles,thenclassifyeachtrianglebyitsanglesandsides.a. b. c.
2. Solveforthevalueofeachvariable.Writethemeasureofeachangleinthediagram.
a. b.
3. Solveforeachoftheindicatedvalues.𝑥 = 𝑚∠1 = 𝑚∠2 = 𝑚∠3 = 𝑚∠4 = 4. Solvefor𝑥thenfindthemeasureoftheexteriorangleshown.
𝑥 = ExteriorAngle=
5. LabelthediagramandmarkallcongruentcorrespondingpartsinthediagramattherighttoshowΔ𝐺𝐻𝐹 ≅ Δ𝐴𝐸𝐾andcompletethestatements.
𝐺𝐻 ≅ ∠𝐺 ≅ Δ𝐹𝐺𝐻 ≅
𝐺𝐹 ≅ ∠𝐻 ≅
𝐻𝐹 ≅ ∠𝐹 ≅ Whatisthereasonallofthesecongruencestatementsaretrue?
6. Solveforeachvariable.a. b.
c. d.
7. Determineifitispossibletoprovethetrianglescongruent.Ifso,statethecongruenttrianglesand
givethereasonwhytheyarecongruent.Ifitisnotpossible,explainwhy.a. b. c.
Possible: Yes No Possible: Yes No Possible: Yes No
ΔCongruence ΔCongruence ΔCongruence
Reason Reason Reason
d. e. f.
Possible: Yes No Possible: Yes No Possible: Yes No
ΔCongruence ΔCongruence ΔCongruence
Reason Reason Reason
116°x°D
E
F x°
y°112°
y°x°
8. Writeaproof.a. Given:Labeledinpicture b. Given:𝐴𝐶 ≅ 𝐷𝐹,𝐴𝐵 ≅ 𝐷𝐸 Prove:Δ𝐷𝐵𝑀 ≅ Δ𝐶𝐴𝑀 Prove:𝛥𝐴𝐵𝐶 ≅ 𝛥𝐷𝐸𝐹
c. Given:𝐵𝐶 ≅ 𝐸𝐶,∠𝐵 ≅ ∠𝐸 d. Given:𝑆𝑅bisects∠𝑇𝑆𝑄,∠𝑇 ≅ ∠𝑄 Prove:Δ𝐴𝐵𝐶 ≅ Δ𝐷𝐸𝐶 Prove:Δ𝑅𝑇𝑆 ≅ Δ𝑅𝑄𝑆
e. Given:Labeledinpicture f. Given:𝑆𝑅 ≅ 𝑇𝑉, 𝑆𝑇 ≅ 𝑅𝑉 Prove:𝐴𝐷 ≅ 𝐴𝐶 Prove:∠𝑆 ≅ ∠𝑉
A
B E
D
C F
A
B
C
E
D
Q
S
T
R