Classifying
Name the triangle with all sides equal.
What is equilateral?
Two angles are 50° and 60°. What is the third angle of the triangle?
What is 70 degrees?
In an isosceles triangle, which two parts are equal?
What are the legs?
Triangle KPL is congruent to triangle ACM, list the congruent angles.
What reason justifies that corresponding parts in congruent triangles are equal?
What is CPCTC?
Classify a triangle with one right angle and two unequal sides.
What is a right, scalene triangle?
Review sheet #3, find the measure of angle 2.
What is 24 degrees?
If m∠M = 48° and the triangle is isosceles with vertex at M, find the base angles.
What is 66 degrees?
Triangle KPL is congruent to triangle ACM, list the congruent sides.
What is KL=AM, AC=KP, and PL = CM?
Given Q is midpoint of PT and RS, two statements and reasons to use in the proof.
What is PQ=TQ and RQ=SQ by definition of midpoint?
Given Q(−2, −1), R(1, 5), T(−8, −4): classify triangle QRT by side lengths. #2 on study guide. (Hint: finding the lengths using the distance formula, two sides are equal)
What is isosceles?
Solve for x: (6x − 5)° + (x − 11)° + (8x − 35)° = 180°
What is x = 13?
Given CD = 4x + 9, DE = 7x − 5, CE = 16x − 27 and CD = DE, find x and each side. (see study guide)
What is x = 3, CD = 21, DE = 16, and CE = 21?
Name five theorems to prove triangles congruent.
What is SSS, SAS, ASA, AAS, and HL congruence theorems?
Given segments BC and AD are parallel, leads to a statement and reason in the proof. (#27)
What is angles CBD = ADB by alternate interior angles?
Classify a triangle with two equal sides and one 100 degree angle.
What is obtuse and isosceles?
If angles are (9x + 17)°, (6x − 31)°, (3x − 4)°, find x.
What is x = 11?
ABC contains base angles equal to 48 degrees and AB equals 9 ft. Angle A is the vertex angle. Find the measure of angle A and AC.
What is 84 degrees and 9 ft?
Give two other valid congruence statements for ΔABC ≅ ΔDEF.
What are triangles BCA=EFD, CAB=FDE, CBA=FED, ACB=DFE, or BAC=EDF
The reason segment BD = DB. (#27)
What is the reflexive property?
Refer to Study Guide figure #1, Classify triangle DEF.
What is equilateral and equiangular?
If 3x-4+9x+17+6x-31 = 180, find the measure of angle A: (9x+17).
What is 116 degrees?
In ΔJKL, JK = JL. If m∠J = (23x − 4)°, m∠K = (4x − 1)°, m∠L = (9x + 31)°, find x and each angle measure.
What is 6, 134 degrees, 23 degrees, and 23 degrees?
Three reasons that do NOT prove triangles congruent.
What is SSA, AAA, and CPCTC?
The justification for triangle PQR conguent to triangle TQS.
What is SAS?