跟读练习: GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules (2026/27 exams) - 通过视频学习英语口语
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Thank you.
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In this video, we're going to cover how you can use the rules of alternate angles, corresponding angles, and allied angles.
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Importantly though, we only use these rules in one specific scenario.
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which is where we have two parallel lines running alongside each other like this, and then another line, which we can call a transversal, cutting through them both.
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Whenever this happens, we end up with two groups of angles.
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One here at the bottom, and another one here at the top.
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And there are four important points that you want to notice about these angles.
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The first is that both groups of angles are both exactly the same.
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For example, in this case, they both have a 120 degree, a 60 degree, another 120 degree, and another 60 degree angle.
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The second point is that each group only contains two different angles.
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In this case, 60 degree angles.
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and 120 degree angles.
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The third point is that the two different angles will always add up to 180 degrees.
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For example here, where our angles are 60 degrees and 120 degrees, These two add up to 180 degrees.
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And the last point is that vertically opposite angles are always the same.
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For example, these two 60 degree angles are considered vertically opposite which is why they're both 60 degrees.
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and likewise these two 120 degree angles are also vertically opposite.
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Now, as long as you properly understand all of these rules, You can use this knowledge to work out unknown angles if one of them is missing.
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For example, if we had to find this angle here, marked x.
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we'd be able to tell that it's 60 degrees.
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Either because it's opposite this 60 degree angle, and we know that vertically opposite angles are always equal,
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or because we know that it has to add to this 120 degrees to make 180.
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To help with more complicated questions though, there are three more rules that are worth memorizing.
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The first rule is that alternate angles are the same.
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And what I mean by alternate angles is the two angles found in the corners of a Z shape like this.
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For example, if we look at our diagram, we can see that the Z shape is here.
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even though it's been flipped around in this case.
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And so it's these two 60 -degree angles that we consider alternate angles.
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The second rule is pretty similar, but says that corresponding angles are the same.
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and corresponding angles are these two angles that you find in an F shape.
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For example, on our diagram, the F shape is here.
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So these two 60 degree angles are corresponding angles.
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The third rule is that allied angles add up to 180 degrees.
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and allied angles are just the interior angles of a C shape.
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So in this diagram, these two angles would add together to make 180 degrees.
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We also sometimes call these co -interior angles, or just interior angles.
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So just know that allied, co -interior and interior all mean the same thing here.
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If we look on our main diagram, we can see one of these C shapes here.
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So the allied angles would be this 60 degrees, and this is 120 degrees.
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which indeed do add together to make 180.
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One thing to point out with all of these rules is that you'll sometimes see them in other orientations.
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like flip it around, in which case they'll be harder to spot.
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But as long as they have the same combination of two parallel lines and one transversal, then the rules are going to be the same.
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To see how it all works in practice, let's have a go at this exam question.
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So in this question we have a pair of parallel lines
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AB and CD and then a transversal that cuts through the two of them.
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and we need to find the missing angles x and y Now, because of all of the different rules that we can use, there are normally multiple ways that we can do questions like this.
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And so there's no one correct way of doing it.
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The way I would do it though is notice that this section here is like a backwards C shape.
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and do the 135 degrees and the x are allied or co -interior angles.
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which means that they must add together to make 180 degrees.
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So we now know that 135 plus x equals 180.
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which means that x is 45 degrees.
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And then because y is vertically opposite x, we know that y must be 45 degrees as well.
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Anyway, that's the end of this video.
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So like always, if you want to practice questions on any of this stuff, then head over to our platform.
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If you want to go to this particular lesson, then click on the link down in the description below.
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Or if you want to see our platform in general, then click on the link in the top right corner of this screen.
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Otherwise, we'll see you next time.
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本课的词汇与口语要点
这节 B1 级别的口语课以视频“GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules”为素材。 视频中反复出现的词有：angle, degree, rule, shape, add。 这段视频共有 59 个句子、817 个单词可供跟读。 讲话部分时长为 5:34。 说话人语速平稳，每分钟约 147 个词，很适合跟读。 86% 的单词属于英语最常用的 3,000 词，其余的词建议在练习前先学一下。
视频中的重点词汇
视频中最难的 10 个单词，附发音和释义：
| 单词 | 发音 | 释义 |
|---|---|---|
| ally 名词 | /ˈæl.aɪ/ | 盟國 /盟国 |
| correspond 动词 | /ˌkoɹəˈspɑnd/ | 對應 /对应 |
| diagram 名词 | /ˈdaɪ.ə.ɡɹæm/ | 圖 /图, 圖表 /图表 |
| parallel 形容词 | /ˈpæ.ɹəˌlɛl/ | 平行的 |
| memorize 动词 | /ˈmɛm.əˌɹaɪ̯z/ | 記住 /记住, 熟記 /熟记 |
| backward 形容词 | /ˈbækwɚd/ | 逆向 |
| likewise 副词 | /ˈlaɪkˌwaɪz/ | 相似地, 類似地 /类似地 |
| importantly 副词 | /ɪmˈpɔɹ.tənt.li/ | 重要的是... |
| scenario 名词 | /sɪˈnɛəɹioʊ/ | 腳本 /脚本, 場景 /场景 |
| examination 名词 | /ɪɡˌzæm.ɪˈneɪ.ʃən/ | 檢查 /检查 |
视频中出现的短语动词
| 单词 | 发音 | 释义 |
|---|---|---|
| work out 动词 | /ˌwɝk ˈaʊt/ | 計算 /计算, 算出 |
视频中的语法
说话人最常用的结构，并附上视频中的原话：
| 结构 | 视频中的用法 |
|---|---|
| 被动语态 be + 过去分词 — 强调发生了什么，而不是谁做的 | are considered · been flipped · are allied |
| “will” 表将来 will + 动词 — 决定、承诺或预测 | will always add · you'll sometimes see · they'll be |
| 义务：must / have to / need to 表示某事是必要的 | had to find · has to add · need to find |
| 现在进行时 am/is/are + -ing — 此刻或近期正在发生的事 | is missing · are corresponding |
需要注意的发音
说话人用了 6 次缩略和弱读形式，例如 they'll, they're, we'd。请按听到的简短形式来说。
- “sh” 和 “zh” 音: orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/
- 长单词——注意重音位置: vertically /ˈvɝ.tɪ.kəli/, orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, importantly /ɪmˈpɔɹ.tənt.li/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/
如何用这段视频练习
- 先完整听一遍视频，不要开口，记下不认识的单词。
- 用正常速度逐句跟读，每句重复到你的节奏与说话人一致为止。
- 录下自己的声音并与原声对比，特别注意 ally, correspond, diagram 这类单词。
什么是跟读法？
跟读法 (Shadowing) 是一种有科学依据的语言学习技巧，最初开发用于专业口译员的培训，并由多语言者Alexander Arguelles博士普及。这个方法简单而强大：您在听英语母语原声的同时立即大声重复——就像是一个延迟1-2秒紧跟说话者的影子。与被动听力或语法练习不同，跟读法强迫您的大脑和口腔肌肉同时处理并模仿真实的讲话模式。研究表明它能显着提高发音准确性，语调，节奏，连读，听力理解和口语流利度——使其成为雅思口语备考和真实英语交流最有效的方法之一。