Basic of Geometry C & D

Last updated 8 months ago

20 questions

Level 1 Questions

If RS = 7 and QS = 17, what is QR?

QR = _______ 

What is the value of p?

p = _______ 

∠3 = 43°, what is the value of ∠6? What is the relationship between the two angles?

∠6 = __________
Relationship: __________

∠7 = 36°, what is the value of ∠1? What is the relationship between the two angles?

∠6 = __________
Relationship: __________

Segment TV is shown below, where point U is the midpoint. If TV = 17 cm, what is the length of UV?

UV = _______ 

∠HMX is shown below, where ray MB is an angle bisector. Find the measure of ∠HMX if ∠HMB = 32°.

∠HMX = _______ 

Level 2 Questions

∠ABC and ∠MNO are complementary angles. m∠ABC = 24° and m∠MNO = (4x + 6)°, what is the value of x?

x = _______ 

∠DEF and ∠GHI are supplementary angles.m∠DEF = 51° and m∠GHI = (7x + 3)°, what is the value of x?

x = _______ 

Suppose Q is the midpoint of PR. Find the value of x if PQ = 3x + 14 and QR = 32.

x = _______ 

If MO bisects ∠PMN, m∠PMN = 74° and m∠OMN = 2x + 7, find the value of x.

x = _______ 

If ∠XHR = 135°, find the value of all the angles below.

∠RHB = _______ 
∠XHK = _______ 
∠BHK = _______ 
∠TKW = _______ 
∠VKW = _______ 

Find the value of x.

x = _______ 

Level 3 Questions

YB = 2x, BW = x + 4, WH = 3x - 1, and BH = 35. What is the length of YW?

x = _______ 
YW = _______ 

Find the m∠WEL if ∠LER = (10x - 4)°,∠WEL = (7x + 20)° and ∠WER = 135°.


x = _______ 
∠WEL = _______ 

Line FG and JK are parallel; Line MU is a transversal. Find the value of a.

a = _______ 

Line PQ and Line RS are parallel; Line AD is a transversal. Find the value of a.

a = _______ 

EOC Level Questions

∠DEF is a straight angle. What are the measures of ∠DEC and ∠CEF?


x = _______ 
∠DEC = _______ 
∠CEF = _______ 

RP, VW, and MS are shown. VW intersects RP at point H. VW intersects MS at point G. Determine the relationship between the following angles if RP is parallel to MS and if they are congruent or supplementary:


∠PHG and ∠MGH: __________ and they are __________
∠RHG and ∠MGH: __________ and they are __________

Parallel lines EF and AB are shown with transversal CD. m∠ADC = 130° and m∠FCD = 8x + 34°. What is the value of X?

x = _______

An engineer is designing the parking lot for a local grocery store, as shown in the diagram below. The parking spaces are marked with lines where XD ∥ TZ ∥ YF ∥ LP. WC is a transversal.
If m∠XRH = 7x + 5 and m∠LNC = 10x - 16, what is m∠XRH?

x = _______ 
∠XRH = _______