Is SSA (Side-Side-Angle) a Congruence Rule?
Read this topicExplanations 2
- We know some congruence rules already: SSS, SAS, ASA, and AAS. Naturally this brings up the question: does SSA also work as a congruence rule? Well, the answer is actually no. T…
By Sujay Kazi
- (Video) Why SSA Does Not Prove Congruence by MashUp Math We already know SAS is a congruence rule, SSA seems really similar--does it work too? The answer is no. Here is a video …
By Christine, Alex Federspiel
Problems 13
- The statement is:
- If you are given two side lengths and an angle of a triangle, and you know that the angle is not between the two sides, how many unique triangles could there be with these prope…
- Triangle ABC has AB‾=13,AC‾=8,\overline{AB}=13, \overline{AC}=8,AB=13,AC=8, and ∠B=31∘\angle B=31^{\circ}∠B=31∘. How many unique triangles are there with these properties?
- Triangle ABC has AB‾=13,AC‾=8,\overline{AB}=13, \overline{AC}=8,AB=13,AC=8, and ∠B=31∘\angle B=31^{\circ}∠B=31∘. What could be the length of BC‾\overline{BC}BC?
- Triangle ABC has AC‾=12.4,BC‾=7.6,\overline{AC}=12.4, \overline{BC}=7.6,AC=12.4,BC=7.6, and ∠B=125∘\angle B=125^{\circ}∠B=125∘. How many unique triangles are there with these pr…
- Triangle ABC has AC‾=12.4,BC‾=7.6,\overline{AC}=12.4, \overline{BC}=7.6,AC=12.4,BC=7.6, and ∠B=125∘\angle B=125^{\circ}∠B=125∘. What could be the measure of ∠A\angle A∠A?
- When does congruence by SSA actually provide a unique triangle, if ever?
- Triangle ABC has AB‾=15,AB‾=7,\overline{AB}=15, \overline{AB}=7,AB=15,AB=7, and ∠B=84∘\angle B=84^{\circ}∠B=84∘. How many unique triangles are there with these properties?
- Triangle ABC has AC‾=8,BC‾=24,\overline{AC}=8, \overline{BC}=24,AC=8,BC=24, and ∠B=20∘\angle B=20^{\circ}∠B=20∘. How many unique triangles are there with these properties?
- Triangle ABC has AC‾=6,BC‾=6,\overline{AC}=6, \overline{BC}=6,AC=6,BC=6, and ∠B=45∘\angle B=45^{\circ}∠B=45∘. How many unique triangles are there with these properties?
- Do you think it is guaranteed that if Jenna follows the plan, she will create the garden exactly as Felix has envisioned it?
- We have some triangle △ABC\triangle ABC△ABC, we know AB‾=8.4\overline{AB} = 8.4AB=8.4 , AC‾=6.1\overline{AC} =6.1AC=6.1. Which of the following will yield a unique triangle? Cho…
- We have some triangle △ABC\triangle ABC△ABC, we know AB‾=8.4\overline{AB} = 8.4AB=8.4 , AC‾=6.1\overline{AC} =6.1AC=6.1. Which of the following will yield two triangles? Choose …