Geometry EOC Review Day 3

12

A 13 foot ladder leans against the side of a house. The base of the ladder is 5 feet from the house. How far up the house will the ladder reach?

HL

Determine if the triangles are congruent. If yes, state which theorem.

Not ≅, SSA

Determine if the triangles are congruent. If yes, state which theorem.

SSS

Determine if the triangles are congruent. If yes, state which theorem.

9

Find the value of x.

122

Find x.

20

Find x.

20.2

Find x.

6

Find x.

67°

Given that ∆ABC ≅ ∆DEC and m∠E = 23°, find m∠ACB

47°

Given ∆JKL, find m∠L.

79°

Given ∆XYZ, if XY ≅ YZ, and m∠Y = 22°, find m∠Z.

ASA

Given: XZ bisects ∠WXY and ∠WZY. Based on the information given, which triangle congruence theorem could be used to prove ∆XWZ ≅ ∆XYZ?

52°

If AC = BC, find m∠C.

100

If triangle ABC is an isosceles triangle with base angles of 40 degrees. What is the measure of the its vertex angle?

28

If triangle ABC is an isosceles triangle with base angles of 76 degrees. What is the measure of the its vertex angle?

78°

If ∆JKL ≅ ∆MNP, find m∠M.

7.7

If ∆PQR ≅ ∆WXY, find PQ.

15.4

If ∆PQR ≅ ∆WXY, find YW.

88°

If ∆PQR ≅ ∆WXY, find m∠W.

27°

If ∆PQR ≅ ∆WXY, find m∠Y.

∠D, ∠F, ∠E

In ∆DEF, DE = 18 feet, EF = 5 feet, and DF = 19 feet. Order the angle measures from least to greatest.

∠E, ∠F, ∠D

In ∆DEF, DE = 29 feet, EF = 26 feet, and DF = 32 feet. Order the angle measures from largest to smallest.

5<x<17

Jasmine is making a triangular garden. Two sides of the garden measure 6 feet by 11 feet. What is the range of possible lengths, in feet, for the third side, x, of the garden?

22.2

Solve for x.

4.4

Solve for x.

9.4

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

5<x<11

Two sides of a triangle measure 3 meters and 8 meters. Write an inequality to represent the range of the third side.

12<x<26

Two sides of a triangle measure 7 feet and 19 feet. Write an inequality to represent the range of lengths for the third side.

56°

What is the measure of ∠𝐵 in the figure below?