Chapter four math test- Rathbun Geometry
Show Triangle ABD = Triangle CDB and a=3
1. 3+7 2.4(3)-2 3.16 4.16 5.SAS
Given: P is the midpoint of TQ and RS. Prove: triangle TPR= triangle QPS
1. Definition of a midpoint 2.<TPR=<QPS 3.SAS
The figure shows part of the roof structure of a house. Use SAS to explain why triangle RTS = RTU
1. ST=UT 2.<RTS=<RTU 3.RT=RT
Tom is wearing his favorite bow tie to the school dance. The bow tie is in the shape of two triangles. Given: AB=ED, BC=DC, AC=EC, <=<E prove: triangle ABC = triangle EDC
1. Vertical Angles Theorem 2.Third Angles Theorem 3. Triangle ABC = triangle EDC
Given: <MLN=<PLO, <MNL=<POL, MO=NP prove: triangle MLP is isosceles
1.AAS 2.CPCTC
Daphne folded a triangle sheet of paper into the shape shown. Find m<ECD, given m<CAB-61 degrees, M<ABC- 22 degrees, and M<BCD- 42 degrees
41 degrees
Find m<K
63 degrees
Two Seyfert galaxies, BW Tauru and M77, represented by points A and B, are equidistant from Earth, represented by point C. What is M<A?
65 degrees
Given: triangle ABC= triangle MNO Identify all pairs of congruent corresponding parts
<A=<M, <B=<N, <C=<M, AB=NO, BC=MN, AC=MO
What additional infomation do you need to prove triangle ABC= triangle ADC by SAS Postulate
<ACB=<ACD
Triangle ABC is an isosceles triangle. AB is the longest side with length 10x+6. BC=5x+4 and CA=4x+8
AB=46
Given the lengths marked on the figure and thatAD bisects BE, use SSS to explain why triangle ABC= triangle DEC
AC=CD, AB=ED, BC=CE
Determine if you can use ASA to prove triangle CBA= triangle CED. Explain
AC=DC is given. <CAB=<CDE because both are right triangles. BY the vertical Angles Theorem. <ACB=<DCE. Therefore triangle CBA=Triangle CED by ASA
Position a right triangle with leg lengths r and 2s+4 in the coordinate plane and give the coodinates of each vertex
Both a and b
Apply the transformation M to the triangle with the given vertices. Identify and describe the transformation
C.
Find CA
CA=14
A pilot uses a triangle to find the angle of elevation <A from the ground to her plane. How can she find M<A?
D. triangle ABO= triangle CDO by SAS and <A=<C by CPCTC, so m<A=40 degrees by substitution
Find m<Q
M<Q=75 degrees
Determine whether or not the lines are perpendicular. Explain your answer
THe slope of LM= -1/2 and the slope of MN=-1/2. LM is perpendicular to MN because -1/2(2)=-1
For these triangles, select the triangle congruence statement and the postulate or theorem that supports it
Triangle ABC= Triangle JKL, SAS
Find the value of X.
X=6
Classify triangle ABC by its side lengths
equilateral triangle
Find the measures of each numbered angle
m<1=54, m<2=63, m<3=63
Given that triangle ABC= triangle DEC and m<E=23 degrees, find M<ACB
m<ACB= 67 degrees
FInd m<DCB, given <A=<F, <B=<E, and m<CDE- 40 degrees
m<DCB-40 degrees
Classify triangle DBC by its angle measures, given m<DAB=60 degrees, m<ABD=75 degrees, and m<BDC=25 degrees
obtuse triangle
Two sides of an equilateral triangle measure (2y+3) units and (Y squared -5+ units. If the perimeter of the triangle is 33 units, what is the value of y
y=4
